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# RVUNL Mathematics Quiz 3

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Question 1

The cumulative distribution function of a random variable x is the probability that X takes the value

Question 2

For a random variable x having the PDF shown in the figure given below the mean and the variance are, respectively

Question 3

The probability density function F(x) = ae-b|x| where x is a random variable whose allowable value range is from x = -∞ to x = +∞. The CDF for this function for x ≥ 0 is

Question 4

The two variables X and Y follows normal distribution. For X, mean = 2 and variance = 9. For Y, mean = ? and variance = 4. If . Then mean of Y is

Question 5

3 groups of children contain 3 girls and 1 boy, 2 girls and 2 boys and 1 girl and 2 boys, respectively. One child is selected at random from each group probability that selected consist of 1 girls and 2 boys is

Question 6

If two dice are thrown simultaneously then the probability that the sum is a perfect square is
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