Question

Let Y = e^x where X is normally distributed with μ = 3.7 and σ = 0.5. Compute the following values.

a. Compute P(Y ≤ 9.8). (Round your intermediate calculations to at least 4 decimal places, “z” value to 2 decimal places, and final answer to 4 decimal places.)

b. Compute P(6.0 < Y < 6.9). (Leave no cells blank - be certain to enter "0" wherever required. Round your intermediate calculations to at least 4 decimal places, “z” value to 2 decimal places, and final answer to 4 decimal places.)

Answer 1

This is a normal distribution question with a) x = 9.8

P(x < 9.8)=?

The z-score at x = 9.8 is,

z = 12.2

This implies that

b) x1 = 6.0

x2 = 6.9

P(6.0 < x < 6.9)=? This implies that

PS: you have to refer z score table to find the final probabilities.

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