__MTH302 quiz#4__**Question # 1**

For mutually exclusive events A and B

Select correct option:

Probability of A intersection B > 0

Probability of A intersection B < 0

Select correct option:

Probability of A intersection B > 0

Probability of A intersection B < 0

**Probability of A intersection B = 0****None of these**

**Question # 2**

In the normal distribution curve, peak of the bell-shaped curve gives

Select correct option:

Variance

Mean

Frequency

Select correct option:

**Standard deviation**Variance

Mean

Frequency

**Question # 3**

Faulty apple toffees in a production line average out at 6 per box.The management is willing to replace one box in a hundred. What is the number of faulty toffees that this probabilty corresponds to?

Select correct option:

20

None of these

Select correct option:

20

**18****13**

None of these

**Question # 4**

In tossing of a coin, the outcomes on successive trials are independent.

Select correct option:

Select correct option:

**True****False**

**Question # 5**

he Excel command “=BINOMDIST( 4, 10, 2, FALSE)” gives an error of #NUM. The reason is that the probability of successes is 2 which is wrong. The probability of successes cannot be greater than 1.

Select correct option:

Select correct option:

**True****False**

**Question # 6**

The following formula for probability P(A or B) = P(A) + P(B)-P(A and B) is called

Select correct option:

The law of addition

The law of subtraction

The law of multiplication

Select correct option:

The law of addition

The law of subtraction

The law of multiplication

**None of these****Question # 7**

The number of false fire alarms in a suburb of London on averages 4 per day. Assuming that a Poisson distribution is appropriate, the probability that 3 false alarms will occur on a given day is given by

Select correct option:

P(X=3 ) = (4^3e^-3)/4!

P(X=3 ) =1- (4^3e^-3)/3!

Select correct option:

P(X=3 ) = (4^3e^-3)/4!

P(X=3 ) =1- (4^3e^-3)/3!

**P(X=3 ) = (4^3e^-4)/3****P(X=3 ) =1- (4^3e^-4)/4!**

**Question # 8**

**What is the probability of at least one head in the experiment of tossing a coin three times?**

Select correct option:

1/7

**7/8**

**1/8**

8/7

**Question # 9**

Probability of sure event is --------

Select correct option:

0

None of these

Select correct option:

0

**1****-1**

None of these

**Question # 10**

Formulation for Poisson distribution i-e "POISSON(x,mean,cumulative)" is truncated if ‘x’ is

Select correct option:

Integer

Integer but expected numeric value

Integer but non-expected value

Select correct option:

**Non-integer**Integer

Integer but expected numeric value

Integer but non-expected value

**Question # 11**

A pair of dice is thrown, the probability of getting a total of 5 or 11 is

Select correct option:

1/5

1/7

**1/6**

1/8

**Question # 12**

The probability of "success" p is equals to

Select correct option:

q

None of these

Select correct option:

q

**1-q****1+q**

None of these

**Question # 13**

When a dice is rolled then outcomes on the face of the dice (i.e. 1, 2, 3, 4, 5, 6) are mutually exclusive.

Select correct option:

Select correct option:

**True****False**

**Question # 14**

What is not a characteristic of poisson distribution.

Select correct option:

Either/or situation.

mean number of successes per unit,m,known and fixed.

Select correct option:

Either/or situation.

mean number of successes per unit,m,known and fixed.

**p,chance unknown and large****None of these.**

**Question # 15**

Which of the following can be best fit for the prediction of the vehicles arriving at their destination in 2 hours?

Select correct option:

Poisson Distribution

Chi-Square Distribution

Select correct option:

**Binomial Distribution****Normal Distribution**

Poisson Distribution

Chi-Square Distribution

**Question #16**

Probability distribution is a set of possible values that a random variable can assume and their associated probabilities of occurrence.

Select correct option:

False

Select correct option:

**True**False

**Question #17**

Significant birth defects occur at a rate of about 4 per 1000 births in human populations. Which type of distribution can better deal with the above mentioned case?

Select correct option:

Poisson Distribution.

None of the above.

Select correct option:

**Binomial Distribution.****Normal Distribution.**

Poisson Distribution.

None of the above.

**Question #18**

Suppose, you have a bag in which there are one green and one red ball. You take out a ball repeatedly and put it back into the bag, and you count the number of times the green ball comes out. You continue to take out the ball until the green ball comes out 3 times. This experiment shows the case of Negative Binomial Distribution.

Select correct option:

Select correct option:

True

**False**

**Question #19**

For the Poisson distribution,

Select correct option:

Select correct option:

**E(X) = µ , Var(X) = µ**

E(X) = µ , Var(X) = - µ

(X) = -µ , Var(X) = µ

E(X) = 0 , Var(X) = 0

E(X) = 0 , Var(X) = 0

**Question #20**

For normal distribution the probability of an event is zero if and only if value of ‘z’

Select correct option:

Greater than 3

Less than 3

None of these

Select correct option:

Greater than 3

Less than 3

**Equal to 3**None of these

**Question #21**

What is the range of probability of any event?

Select correct option:

-1 to 0

-1 to 1

Select correct option:

-1 to 0

-1 to 1

**0 to 1****None of these**

**Question #22**

During a typical football game, a coach can expect 3.2 injuries. Find the probability that the team will have at most 1 injury in this game. We are interested in

Select correct option:

P(X<1 )

P(X=1 )

P(X=0 ) + P(X=1 )

Select correct option:

**P(X=1 )**P(X<1 )

P(X=1 )

P(X=0 ) + P(X=1 )

**Question #23**

When two events are mutually exclusive, the probability of either one of those occurring is the sum of individual probabilities. This is the called the ……

Select correct option:

AND Rule

OR-AND Rule

AND-OR Rule

Select correct option:

AND Rule

**OR Rule**OR-AND Rule

AND-OR Rule

**Question #24**

Attendance in a factory shows 7 absences.What is probabilty that on a given day there will be more than 8 people absent?

Select correct option:

0.5

None of these.

Select correct option:

**0.2709****0.184**

0.5

None of these.

formula

P(X >8)=1−P(X ≤8)= 1-0.7291= 0.2709

**Question #25**

If a dice is thrown then the probability of getting an odd number or an even number is

Select correct option:

1/2

None of these

Select correct option:

1/2

**1/3****1**

None of these

**Question #26**

An automatic production line breaks down every 2 hours.Special production requires uninterrupted operation for 8 hours.What is the probabilty that this can be achieved.

Select correct option:

0.312

0.021

Select correct option:

0.312

0.021

**0.0183****None of these.**

p( x=0) =40 00!e

= 0.0183 =1.83%

= 0.0183 =1.83%

1.83/100

=0.0183

**Question # 27**

A fair coin is tossed three times then its total number of sample points of the sample space will be

Select correct option:

3^2

None of these

Select correct option:

3^2

**2^3****2^4**

None of these

**Question #28**

Probability of occurrence of an event A = -------- (Where X=Number of outcomes favorable to event A and n=total number of outcomes)

Select correct option:

nX

n/X

Select correct option:

nX

n/X

**X/n****None of these**

**Question #29**

Analysis of Variance (ANOVA) is a test for equality of

Select correct option:

6723

6721

Select correct option:

6723

**6725****6720**

6721

=.662/.9843 =.6725

**Question #30**

A coin is tossed twice. What is the probability of getting head on first toss and tail on second toss?

Select correct option:

½

1/3

¼

None of these

Select correct option:

½

1/3

¼

None of these

**Question #31**

A lottery has Rs.100 payout on average 20 turns.What will be expected win per turn.

Select correct option:

Rs.3

None of these.

Select correct option:

**Rs.5****Rs. -5**

Rs.3

None of these.

20/100=5

**Question #32**

In binomial distribution, each observation represents

Select correct option:

Only one outcome ("failure")

None of these

Select correct option:

**One of two outcomes ("success" or "failure")****Only one outcome ("success")**

Only one outcome ("failure")

None of these

**Question #33**

An automatic packing machine produces on an average one in 100 underweight bags.What is the probabilty that 500 bags contain less than three underweight bags?

Select correct option:

0.018

None of these

Select correct option:

0.018

**0.1247****0.312**

None of these

**Question # 34**

The correct formula for OR rule is

Select correct option:

P(A or B)(A) P(B)

P(A or B) (A)-P(B)

**P (A or B)**

**alt="=P" onload="_GM_EmoticonHandler("load", this)" onmouseover="_GM_EmoticonHandler("mouseover", this)" pattern="equal tongue" createtime=1296649696901 iconset=goomoji framecount=93 v:shapes="_x0000_i1027"> (A) + P (B)**

None of these

**Question #35**

In Binomial distribution, the outcome on one trial ………… the outcome on other trials.

Select correct option:

May affect

None of these

Select correct option:

**Does not affect****Does affect**

May affect

None of these

**Question #36**

In the excel formulation for Poisson distribution i-e "POISSON(x,mean,cumulative)", ‘x’ is the

Select correct option:

Expected numeric value

Logical value that determines the form of the probability distribution returned

Select correct option:

Expected numeric value

Logical value that determines the form of the probability distribution returned

**Number of events over a specific time****Discrete non-random variable**

**Question #37**

The successive binomial trials are assumed to be

Select correct option:

May be independent

None of these

Select correct option:

**Independent****Dependent**

May be independent

None of these

**Question #38**

Probability distribution is a set of possible values that a random variable can assume and their associated probabilities of occurrence.

Select correct option:

Select correct option:

**True****False**

**Question #39**

The Excel command “=BINOMDIST( 4, 10, 2, FALSE)” gives an error of #NUM. The reason is that the probability of successes is 2 which is wrong. The probability of successes cannot be greater than 1.

Select correct option:

Select correct option:

**True****False**

**Question #40**

The correct formula for AND rule is

Select correct option:

P(A and B)= P(A) + P(B)

None of these

Select correct option:

**P(A and B)= P(A) P(B)****P(A and B)= P(A)-P(B)**

P(A and B)= P(A) + P(B)

None of these

**Question #41**

What is probabilty of r or more successes when m=7;r=9

Select correct option:

0.5

None of these

Select correct option:

**0.2709****0.184**

0.5

None of these

**Question #42**

The Excel command CRITBINOM(trials,p,alpha) where n is the number of trials, p is the probability of success in trials, and alpha is the criterion value. If trials < 0 , then CRITBINOM returns #NUM! error.

Select correct option:

Select correct option:

**True****Flase**

**Question #43**

The mean of a Poisson distribution is 5 while its standard deviation is 4.then what option is correct about this statement.

Select correct option:

In some cases this result is possible.

Mean and standard deviation are always equal.

Only option 1 & 3.

Select correct option:

In some cases this result is possible.

**Mean should be always less than standard deviation .**Mean and standard deviation are always equal.

Only option 1 & 3.

**Question #44**

An automatic packing machine produces on an average one in 100 underweight bags.What is the probabilty that 500 bags contain less than three underweight bags?

Select correct option:

0.018

None of these.

Select correct option:

0.018

**0.1247****0.312**

None of these.

p(x<3, α =5) = p(x<=2, α =5) = 0.1247=12.47%

**Suppose, you have a bag in which there are one green and one red ball. You take out a ball repeatedly and put it back into the bag, and you count the number of times the green ball comes out. You continue to take out the ball until the green ball comes out 3 times. This experiment shows the case of Negative Binomial Distribution.**

Select correct option:

True

False

Select correct option:

True

False

**Question #45**

Which of the following is applicable to a Poisson Distribution?

Select correct option:

It is used to compute the probability of rare events.

Every event is independent of every other event.

The range for the number of events that could occur is 0,1,2,3, ...

Select correct option:

It is used to compute the probability of rare events.

Every event is independent of every other event.

The range for the number of events that could occur is 0,1,2,3, ...

**all of given choices.****Question #46**

If a dice is thrown what is the chance of getting an odd number or a number divisible bytwo?

Select correct option:

1/3

4/6

½

Select correct option:

1/3

4/6

½

**None of these****Question #47**

A pair of dice is thrown, the probability of getting a total of 5 or 11 is

Select correct option:

1/5

1/7

Select correct option:

1/5

1/7

**1/6****1/8**

6/36 = 1/6

**Question #48**

When two dice are rolled together, the outcomes on the faces are independent.

Select correct option:

False

Select correct option:

**True**False

**Question #48**

12% of the electric bulbs manufactured by a company are defective. What is the probability that a bulb selected will not be defective?

Select correct option:

90%

85%

Select correct option:

90%

**88%****80%**

85%

1-12??

1-.12=.88/100=88%

**Question #49**

This formula “=BINOMDIST( 3, 6, 0.5, TRUE )” is for Cumulative Bionomial distribution.

Select correct option:

Select correct option:

**True****False**

Cumulative is a logical value that determines the form of the function. If cumulative

is TRUE, then BINOMDIST returns the cumulative distribution function

is TRUE, then BINOMDIST returns the cumulative distribution function

**Question #50**

Which of these numbers cannot be a probability?

Select correct option:

0.5

1

Select correct option:

0.5

**1.001****0**

1

**Question #51**

The marketing manager of a company receives average10 complaint calls during a week .Suppose that the number of calls during a week follows the Poisson distribution. The probability that she gets five such calls in one day is:

Select correct option:

10C5 * 0.55 * 0.55

1 - 10C5 * 0.55 * 0.55

Select correct option:

**(10^5e^-10)/5!****1-(10^5e^-10)/5!**

10C5 * 0.55 * 0.55

1 - 10C5 * 0.55 * 0.55

**Question #52**

If an event A is a proper subset of an event B then Probability of the event

Select correct option:

B is less than the event A

A is equals the event B

Select correct option:

B is less than the event A

A is equals the event B

**A is less than the event B****None of these**

**Question #53**

In the excel formulation for Poisson distribution i-e "POISSON(x,mean,cumulative)", if X<0 then it returns to

Select correct option:

TRUE

FALSE

#VALUE!

Select correct option:

TRUE

FALSE

#VALUE!

**#NUM!****Question #54**

An automatic production line breaks down every 2 hours. Special production requires uninterrupted operation for 8 hours. What is the probabilty that this can be achieved.

Select correct option:

0.312

0.021

Select correct option:

0.312

0.021

**0.0183****None of these.**