Let Y1, Y2, …, Y4 be a random sample from a normal distribution with mean 10...

Question

Question

Let Y₁, Y₂, …, Y₄ be a random sample from a normal distribution with mean 10 years and

standard deviation 2.5 years. Find the following probabilities.

A. P(Y₄ > 14 years)

B. P(Y₁ + Y₂ + Y₃ + Y₄ < 36 years)

C. P{(Y₁ < 9 years) and (Y₂ < 9 years) and (Y₃ < 9 years) and (Y₄ < 9 years)}

Note: B and C are asking different questions.

D. Find E(Y₁ + Y₃²), the expected value of Y₁ plus the square of Y₃.

Answer 1

Answer #1

niven that Yuy,--, yy be a random sam ρι es tr om a- dfó trie butf on norm al uoir mean z 10 P LA71) 60 e zo -(yi-101 e 2675

Answer 2

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