Let Y = ex where X isnormally distributed with μ = 1.2 and σ = 0.5.Compute the following values. [You may find it useful toreference the z table.]
a. Compute P(Y ≤ 9.6).(Round your intermediate calculations to at least 4 decimalplaces, “z†value to 2 decimal places, and final answer to4 decimal places.)
b. Compute P(8.4 < Y <9.7). (Leave no cells blank - be certain to enter \"0\"wherever required. Round your intermediate calculations to at least4 decimal places, “z†value to 2 decimal places, and finalanswer to 4 decimal places.)
c. Compute the 70th percentile of Y.(Round your intermediate calculations to at least 4 decimalplaces, “z†value to 3 decimal places, and final answer tothe nearest whole number.)
