Let Y = ex where X is normally distributed with μ = 1.6 and σ =...

Let Y = ex where X is normally distributed with μ = 1.6 and σ = 0.6. Compute the following values. [You may find it useful to reference the z table.]

a. Compute P(Y ≤ 7.2). (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(9.3 < Y < 10.6). (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.)

c. Compute the 80th percentile of Y. (Round your intermediate calculations to at least 4 decimal places, “z” value to 3 decimal places, and final answer to the nearest whole number.)

Expert Solution

orchestra answered 2 years ago

Let Y = ex where X is normally distributed with μ = 1.2 and σ =...

Let Y = ex where X is normally distributed with μ = 1.2 and σ = 0.5. Compute the following values. [You may find it useful to reference the z table.] a. Compute P(Y ≤ 9.6). (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(8.4 < Y < 9.7). (Leave no cells blank - be certain to enter "0" wherever required. Round your...

Let X be normally distributed with mean μ = 26 and standard deviation σ = 13....

Let X be normally distributed with mean μ = 26 and standard deviation σ = 13. [You may find it useful to reference the z table.] a. Find P(X ≤ 0). (Round "z" value to 2 decimal places and final answer to 4 decimal places.) b. Find P(X > 13). (Round "z" value to 2 decimal places and final answer to 4 decimal places.) c. Find P(13 ≤ X ≤ 26). (Round "z" value to 2 decimal places and final...

Let X be normally distributed with mean μ = 146 and standard deviation σ = 34....

Let X be normally distributed with mean μ = 146 and standard deviation σ = 34. [You may find it useful to reference the z table.] a. Find P(X ≤ 100). (Round "z" value to 2 decimal places and final answer to 4 decimal places.) b. Find P(95 ≤ X ≤ 110). (Round "z" value to 2 decimal places and final answer to 4 decimal places.) c. Find x such that P(X ≤ x) = 0.330. (Round "z" value and...

Let X be normally distributed with mean μ = 18 and standard deviation σ = 8....

Let X be normally distributed with mean μ = 18 and standard deviation σ = 8. [You may find it useful to reference the z table.] a. Find P(X ≤ 2). (Round "z" value to 2 decimal places and final answer to 4 decimal places.) b. Find P(X > 4). (Round "z" value to 2 decimal places and final answer to 4 decimal places.) c. Find P(8 ≤ X ≤ 16). (Round "z" value to 2 decimal places and final...

Let X be normally distributed with mean μ = 20 and standard deviation σ = 12....

Let X be normally distributed with mean μ = 20 and standard deviation σ = 12. [You may find it useful to reference the z table.] a. Find P(X ≤ 2). (Round "z" value to 2 decimal places and final answer to 4 decimal places.) b. Find P(X > 5). (Round "z" value to 2 decimal places and final answer to 4 decimal places.) c. Find P(5 ≤ X ≤ 20). (Round "z" value to 2 decimal places and final...

Let X be normally distributed with mean μ = 3,800 and standard deviation σ = 2,000....

Let X be normally distributed with mean μ = 3,800 and standard deviation σ = 2,000. [You may find it useful to reference the z table.] a. Find x such that P(X ≤ x) = 0.9382. (Round "z" value to 2 decimal places, and final answer to nearest whole number.) b. Find x such that P(X > x) = 0.025. (Round "z" value to 2 decimal places, and final answer to nearest whole number.) c. Find x such that P(3,800...

Let X be normally distributed with mean μ = 18 and standard deviation σ = 14....

Let X be normally distributed with mean μ = 18 and standard deviation σ = 14. [You may find it useful to reference the z table.] a. Find P(X ≤ 4). (Round "z" value to 2 decimal places and final answer to 4 decimal places.) b. Find P(X > 11). (Round "z" value to 2 decimal places and final answer to 4 decimal places.) c. Find P(4 ≤ X ≤ 18). (Round "z" value to 2 decimal places and final...

Let X be normally distributed with mean μ = 4.1 and standard deviation σ = 3....

Let X be normally distributed with mean μ = 4.1 and standard deviation σ = 3. b. Find P(5.5 ≤ X ≤ 7.5). c. Find x such that P(X > x) = 0.0485.

Suppose a population of scores x is normally distributed with μ = 16 and σ =...

Suppose a population of scores x is normally distributed with μ = 16 and σ = 5. Use the standard normal distribution to find the probability indicated. (Round your answer to four decimal places.) Pr(16 ≤ x ≤ 18.6)

Suppose a population of scores x is normally distributed with μ = 16 and σ =...

Suppose a population of scores x is normally distributed with μ = 16 and σ = 5. Use the standard normal distribution to find the probability indicated. (Round your answer to four decimal places.) Pr(16 ≤ x ≤ 18.3) You may need to use the table of areas under the standard normal curve from the appendix. Also, Use the table of areas under the standard normal curve to find the probability that a z-score from the standard normal distribution will...

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Let Y = ex where X is normally distributed with μ = 1.6 and σ =...

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