# MTH302 Business Mathematics & Statistics Quiz 1 Solution Fall 2012

Today Quiz no.1

Question # 1 of 10 ( Start time: 09:34:32 PM )  Total Marks: 1

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

Select correct option:

True

False

Question # 2 of 10 ( Start time: 09:35:15 PM )  Total Marks: 1

The correct formula for AND rule is

Select correct option:

P(A and B)= P(A) P(B)        ok

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

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

None of these

Question # 3 of 10 ( Start time: 09:36:28 PM )  Total Marks: 1

In binomial distribution, the experiment is repeated for

Select correct option:

Variable number of times

Fixed number of times

Many number of times

None of these

Question # 4 of 10 ( Start time: 09:37:54 PM )  Total Marks: 1

In the excel formulation for Poisson distribution i-e “POISSON(x,mean,cumulative)”, if ‘x’ or mean is non-numeric then it gives

Select correct option:

#NUM!

#VALUE!

TRUE

FALSE

Question # 5 of 10 ( Start time: 09:38:56 PM )  Total Marks: 1

If A and B are mutually exclusive events then,

Select correct option:

P(A or B) = P(A) + P(B) ok

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

P(A or B) = P(A) – P(B)

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

Question # 6 of 10 ( Start time: 09:40:20 PM )  Total Marks: 1

What is not a characteristic of poisson distribution.

Select correct option:

Either/or situation.

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

p,chance unknown and large ok

None of these.

Question # 7 of 10 ( Start time: 09:41:31 PM )  Total Marks: 1

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

Equal to 3

None of these

Question # 8 of 10 ( Start time: 09:42:24 PM )  Total Marks: 1

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 # 9 of 10 ( Start time: 09:43:34 PM )  Total Marks: 1

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

Select correct option:

True

False

Quiz Start Time: 09:34 PM  Time Left  66

sec(s)

Question # 10 of 10 ( Start time: 09:44:11 PM )  Total Marks: 1

The probability of successes can be less than 0 or greater than 1.

Select correct option:

True

False

## Another Quiz

Question # 1 of 10 ( Start time: 09:45:50 PM )  Total Marks: 1

Poisson probabilty density function has ____ parameter(s)

Select correct option:

0

1

2

None of these.

Question # 2 of 10 ( Start time: 09:46:54 PM )  Total Marks: 1

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

Number of events over a specific time

Discrete non-random variable

Question # 3 of 10 ( Start time: 09:47:59 PM )  Total Marks: 1

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

0.0183

None of these.

Question # 4 of 10 ( Start time: 09:48:27 PM )  Total Marks: 1

The successive binomial trials are assumed to be

Select correct option:

Independent

Dependent

May be independent

None of these

Question # 5 of 10 ( Start time: 09:48:48 PM )  Total Marks: 1

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

Select correct option:

True

False

Question # 6 of 10 ( Start time: 09:49:04 PM )  Total Marks: 1

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!

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

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

Question # 7 of 10 ( Start time: 09:49:48 PM )  Total Marks: 1

The Excel command “=BINOMDIST( 7, 4, 0.5, FALSE)” gives an error of #NUM. The reason is that number of successes is 7 which are greater than the trials which are 4.

Select correct option:

True

False

Question # 8 of 10 ( Start time: 09:50:08 PM )  Total Marks: 1

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

Equal to 3

None of these

Question # 9 of 10 ( Start time: 09:50:31 PM )  Total Marks: 1

What is not a characteristic of poisson distribution.

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 # 10 of 10 ( Start time: 09:50:43 PM )  Total Marks: 1

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

Select correct option:

Standard deviation

Variance

Mean

Frequency

## Another Quiz

Question # 1 of 10 ( Start time: 09:52:31 PM )  Total Marks: 1

In the excel formulation for Poisson distribution i-e “POISSON(x,mean,cumulative)”, if ‘x’ or mean is non-numeric then it gives

Select correct option:

#NUM!

#VALUE!

TRUE

FALSE

Question # 2 of 10 ( Start time: 09:53:24 PM )  Total Marks: 1

Which of the following is NOT 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, …

Every event is dependent of every other event.

Question # 3 of 10 ( Start time: 09:54:34 PM )  Total Marks: 1

A single card is to be drawn from a well shuffled deck of cards. What will be the probability of black cards?

Select correct option:

25/52

26/52

27/52

None of these

Question # 4 of 10 ( Start time: 09:55:44 PM )  Total Marks: 1

The formula for the OR rule in probability theory is defined to be

Select correct option:

P(A or B) = P(A) – P(B)

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

P(A or B) = P(A) + P(B)

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

Question # 5 of 10 ( Start time: 09:56:41 PM )  Total Marks: 1

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

Select correct option:

Non-integer

Integer

Integer but expected numeric value

Integer but non-expected value

Question # 6 of 10 ( Start time: 09:57:41 PM )  Total Marks: 1

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 should be always less than standard deviation .

Mean and standard deviation are always equal.

Only  option 1 & 3.

Question # 7 of 10 ( Start time: 09:58:39 PM )  Total Marks: 1

When two coins are tossed, then probability that two heads are obtained is

Select correct option:

1/2

1/3

1/4

1/5

Question # 8 of 10 ( Start time: 09:59:42 PM )  Total Marks: 1

The Excel command “=BINOMDIST( 7, 4, 0.5, FALSE)” gives an error of #NUM. The reason is that number of successes is 7 which are greater than the trials which are 4.

Select correct option:

True

False

Question # 9 of 10 ( Start time: 10:00:18 PM )  Total Marks: 1

In binomial distribution, the experiment is repeated for

Select correct option:

Variable number of times

Fixed number of times

Many number of times

None of these

Quiz Start Time: 09:52 PM  Time Left  81

sec(s)

Question # 10 of 10 ( Start time: 10:01:32 PM )  Total Marks: 1

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

Select correct option:

True

False