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1 December, 01:41

Random variable X is normally distributed with mean 10 and standard deviation 3, and random variable Y is normally distributed with mean 9 and standard deviation 4.

If X and Y are independent, which of the following describes the distribution of Y - X?

a. Normal with mean 1 and standard deviation - 1

b. Normal with mean - 1 and standard deviation - 1

c. Normal with mean - 1 and standard deviation 5

d. Normal with mean - 1 and standard deviation 7

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Answers (1)
  1. 1 December, 03:19
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    Random variable X is normally distributed with mean 10 and standard deviation 3, and random variable Y is normally distributed with mean 9 and standard deviation 4.

    If X and Y are independent, which of the following describes the distribution of Y - X?

    Step-by-step explanation:

    a. Normal with mean 1 and standard deviation - 1

    b. Normal with mean - 1 and standard deviation - 1

    c. Normal with mean - 1 and standard deviation 5

    d. Normal with mean - 1 and standard deviation 7

    b
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