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

Question

Mathematics

Siena

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

+1

Answers (1)

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Chaz · Answer 1

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