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QUESTION: 1

(Direction 1 - 7) Answer the following questions. Each question carries 5 marks.

**Q. The number of accidents in a year attributed to taxi drivers in a locality follows Poisson distribution with an average 2. Out of 500 taxi drivers of that area, what is the number of drivers with at least 3 accidents in a year? **

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QUESTION: 2

In a sample of 800 students, the mean weight and standard deviation of weight are found to be 50 Kg and 20 Kg respectively. On the assumption of normality, what is the number of students weighing between 46 Kg and 62 Kg? Given area of the standard normal curve between = 0 to = 0.20 = 0.0793 and area between = 0 to = 0.60 = 0.2257.

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QUESTION: 3

The salary of workers of a factory is known to follow normal distribution with an average salary of Rs. 10,000 and standard deviation of salary as Rs. 2,000. If 50 workers receive salary more than Rs. 14,000, then the total no. of workers in the factory is

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QUESTION: 4

For a normal distribution with mean as 500 and SD as 120, what is the value of k so that the interval [500, k] covers 40.32 per cent area of the normal curve? Given (1.30) = 0.9032.

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QUESTION: 5

The average weekly food expenditure of a group of families has a normal distribution with mean Rs. 1,800 and standard deviation Rs. 300. What is the probability that out of 5 families belonging to this group, at least one family has weekly food expenditure in excess of Rs. 1,800? Given (1) = 0.84.

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QUESTION: 6

If the weekly wages of 5000 workers in a factory follows normal distribution with mean and SD as Rs. 700 and Rs. 50 respectively, what is the expected number of workers with wages between Rs. 660 and Rs. 720?

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QUESTION: 7

50 per cent of a certain product have weight 60 Kg or more whereas 10 per cent have weight 55 Kg or less. On the assumption of normality, what is the variance of weight?Given (1.28) = 0.90.

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QUESTION: 8

When a coin is tossed 10 times then

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QUESTION: 9

In Binomial Distribution ‘n‘ means

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QUESTION: 10

Binomial Distribution is a

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QUESTION: 11

When there are a fixed number of repeated trial of any experiments under identical conditions for which only one of two mutually exclusive outcomes, success or failure can result in each trial then

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QUESTION: 12

In Binomial Distribution ‘p’ denotes Probability of

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QUESTION: 13

When ‘p’ = 0.5, the binomial distribution is

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QUESTION: 14

When ‘p’ is larger than 0. 5, the binomial distribution is

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QUESTION: 15

Mean of Binomial distribution is

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QUESTION: 16

Variance of Binomial distribution is

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QUESTION: 17

When p = 0.1 the binomial distribution is skewed to the

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QUESTION: 18

If in Binomial distribution np = 9 and npq = 2. 25 then q is equal to

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QUESTION: 19

In Binomial Distribution

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QUESTION: 20

Standard deviation of binomial distribution is

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QUESTION: 21

_________ distribution is a limiting case of Binomial distribution

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QUESTION: 22

When the no. of trials is large then

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QUESTION: 23

In Poisson Distribution, probability of success is very close to

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QUESTION: 24

In Poisson Distribution np is

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QUESTION: 25

In ________________ distribution, mean = variance

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QUESTION: 26

In Poisson distribution mean is equal to

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QUESTION: 27

In Poisson distribution standard deviation is equal to

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QUESTION: 28

For continuous events _________________ distribution is used.

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QUESTION: 29

For continuous events _________________ distribution is used.

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QUESTION: 30

Probability density function is always

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QUESTION: 31

In continuous cases probability of the entire space is

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QUESTION: 32

In discrete case the probability of the entire space is

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QUESTION: 33

Binomial distribution is symmetrical if

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QUESTION: 34

The Poisson distribution tends to be symmetrical if the mean value is

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QUESTION: 35

The curve of ____________ distribution has single peak

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QUESTION: 36

The curve of _________ distribution is unimodal and bell shaped with the highest point over the mean

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QUESTION: 37

Because of the symmetry of Normal distribution the median and the mode have the ______ value as that of the mean

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QUESTION: 38

For a Normal distribution, the total area under the normal curve is

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QUESTION: 39

In Normal distribution the probability has the maximum value at the

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QUESTION: 40

In Normal distribution the probability decreases gradually on either side of the mean but never touches the axis.

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### Joint Distributions and Sampling Distributions

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