ACET (Actuarial Common Entrance Test) Statistics: Questions 70 - 75 of 201

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Question 70

Question

MCQ▾

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 71

Question

MCQ▾

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 72

Question

MCQ▾

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 73

Question

MCQ▾

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

The X in a Discrete Random Variate
X01234567
0K2K2K3K

Then the value of K is

Choices

Choice (4)Response

a.

b.

c.

d.

Question 74

Question

MCQ▾

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 75

Question

MCQ▾

From the data set calculate median value.

Choices

Choice (4)Response

a.

3

b.

1

c.

2

d.

4

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