Question: Let Y = e x where X is normally distributed with =3.5 and = 0.5. Compute the following values. [You may find it useful to

Let Y = e^x where X is normally distributed with =3.5 and = 0.5. Compute the following values. [You may find it useful to reference the z table.] a. Compute P(Y 9.7). (Round your intermediate calculations to at least 4 decimal places and final answer to 4 decimal places.) b. Compute P(10.5 < Y < 12.3). (Round your intermediate calculations to at least 4 decimal places and final answer to 4 decimal places.) c. Compute the 90th percentile of Y. (Round your intermediate calculations to at least 4 decimal places and final answer to the nearest whole number.)

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