ACET (Actuarial Common Entrance Test) Statistics: Questions 157 - 162 of 201

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Question number: 157

» Discrete Random Variables » Mean, Mode, Median

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MCQ▾

Question

The probability distribution of a discrete random variable X is given as under:

The probability distribution The probability distribution

X

1

2

4

2A

3A

5A

P (X)

Calculate the value of A if

Choices

Choice (4)Response

a.

5

b.

4

c.

2

d.

3

Question number: 158

» Probabilities » Conditional Probabilities

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Question

In a set of 10 coins, 2 coins are with heads on both the sides. A coin is selected at random from this set and tossed five times. If all the five times, the result was heads, find the probability that the selected coin has heads on both the sides?

Choices

Choice (4)Response

a.

b.

c.

d.

1

Question number: 159

» Correlation and Regression » Correlation Coefficient

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Question

If and , the correlation coefficient between random variables X and Y is

Choices

Choice (4)Response

a.

b.

c.

d.

All of the above

Question number: 160

» Continuous Distributions » Continuous Uniform

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Question

X is a uniformly distributed random variable that takes values between 0 and 1. The value of will be

Choices

Choice (4)Response

a.

0

b.

c.

d.

Question number: 161

» Continuous Random Variables » Probabilities

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Question

Find b if

Choices

Choice (4)Response

a.

b.

6

c.

d.

2

Question number: 162

» Probabilities » Independence of Events

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MCQ▾

Question

Let A and B be two events such that , and , where stands for the complement of the event A. Then, the events A and B are

Choices

Choice (4)Response

a.

Independent but not equally likely

b.

Independent and equally likely

c.

Mutually exclusive and independent

d.

Equally likely but not independent

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