ACET (Actuarial Common Entrance Test) Statistics: Questions 70 - 75 of 81

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Question number: 70

» Discrete Random Variables » Coefficient of Skewness

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MCQ▾

Question

For a group of 8 students, the sum of squares of differences in ranks for mathematics and statistics marks was found to be 50. What is the value of rank correlation coefficient?

Choices

Choice (4)Response

a.

0.23

b.

0.92

c.

0.40

d.

0.78

Question number: 71

» Combinatorial Probability

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Question

In a railway yard, goods train arrive at a rate of 30 trains per day. Assume that the inter-arrival time follows an exponential distribution and the service distribution is also an exponential with an average of 36 minutes. The probability that the size of the queue exceeds 10 is

Choices

Choice (4)Response

a.

0.06

b.

0.750

c.

0.250

d.

0.944

Question number: 72

» Probabilities » Conditional Probabilities

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Question

A and B are two events such that . Find

Choices

Choice (4)Response

a.

0.65

b.

0.305

c.

0.12

d.

0.695

Question number: 73

» Continuous Random Variables » Probabilities

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Question

If X in a discrete random variate having the following probability distribution:

The X in a discrete random variate

The X in a discrete random variate

X

0

1

2

3

4

5

6

7

0

K

2K

2K

3K

Then the value of K is

Choices

Choice (4)Response

a.

b.

c.

d.

Question number: 74

» Measures of Location » Median

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MCQ▾

Question

What is the probability that a value chosen from a population be less than its median?

Choices

Choice (4)Response

a.

0.50

b.

0.75

c.

0.25

d.

1.0

Question number: 75

» Measures of Location » Median

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MCQ▾

Question

From the data set calculate median value.

Choices

Choice (4)Response

a.

3

b.

1

c.

2

d.

4

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