ACET (Actuarial Common Entrance Test) Statistics: Questions 139 - 145 of 201

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Question number: 139

» Discrete Distributions » Binomial

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MCQ▾

Question

In a binomial distribution, the mean is three times its variance. What is the probability of exactly 3 successes out of 4 trials?

Choices

Choice (4)Response

a.

b.

c.

d.

Question number: 140

» Discrete Random Variables » Variance

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Question

In a meeting 30 % members don’t favour certain proposal while 70 % do. A member is selected at random. Let X = 0 be if opposed, X = 1 is favour. Find Var (X).

Choices

Choice (4)Response

a.

0.49

b.

c.

d.

0.21

Question number: 141

» Continuous Random Variables » Probabilities

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Question

Let X be a continuous random variable with probability density function (pdf)

Find

Choices

Choice (4)Response

a.

b.

c.

d.

Question number: 142

» Continuous Random Variables » Probabilities

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Question

X is a random variable with range (0,1) and probability density function (pdf) What is the value of C?

Choices

Choice (4)Response

a.

1

b.

4

c.

2

d.

3

Question number: 143

» Continuous Random Variables » Mean, Mode, Median

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MCQ▾

Question

The continuous random variable X has a probability density function f (x) given by:

Where k is constant.

Find the mean of X

Choices

Choice (4)Response

a.

b.

c.

d.

Question number: 144

» Combinatorial Probability

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MCQ▾

Question

If , find n.

Choices

Choice (4)Response

a.

3

b.

4

c.

7

d.

6

Question number: 145

» Discrete Distributions » Binomial

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MCQ▾

Question

In a series of 3 independent trials, the probability of exactly two successes is 12 times as large as the probability of 3 successes. The probability of a success in each trial is

Choices

Choice (4)Response

a.

b.

c.

d.

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