ACET (Actuarial Common Entrance Test) Statistics: Questions 176 - 181 of 201

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Question number: 176

» Continuous Random Variables » Mean, Mode, Median

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MCQ▾

Question

If probability density function (pdf) of a random variable X is given by 0 2. Find mean.

Choices

Choice (4)Response

a.

1

b.

c.

d.

Question number: 177

» Discrete Random Variables » Standard Deviation

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Question

The number of claims X on a health insurance policy is a random variable with and Calculate the standard deviation of the number of claims.

Choices

Choice (4)Response

a.

7.50

b.

2.18

c.

2.40

d.

7.31

Question number: 178

» Probabilities » Basic Rules of Probabilities

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Question

Satyam will miss an important TV program while taking his statistics exam so he sets both his VCRs to record it. The first one records 70 % of the time and the second one records 60 % of the time. What is the probability that he gets home after the exam and finds one copy of his program?

Choices

Choice (4)Response

a.

0.88

b.

0.12

c.

0.42

d.

0.46

Question number: 179

» Measures of Spread » Variance

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MCQ▾

Question

Find the variance of the series- 1,5, 6

Choices

Choice (4)Response

a.

2.33

b.

4

c.

3

d.

4.67

Question number: 180

» Continuous Random Variables » Definitions

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MCQ▾

Question

Find the value of k for which the function

Is continuous at x = 2

Choices

Choice (4)Response

a.

2

b.

1

c.

d.

Question number: 181

» Correlation and Regression » Correlation Coefficient

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MCQ▾

Question

In a partially destroyed record, the following data are available-

Variance of X = 25

Regression Equation of X on Y:

Regression Equation of Y on X:

Find the correlation coefficient between X and Y

Choices

Choice (4)Response

a.

b.

c.

d.

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