Let Y = e x where X is normally distributed with = 2.3 and = 1.0. Compute the fo

Question

Let Y = ex where X is normally distributed with = 2.3 and = 1.0. Compute the following values. Use Table 1.

Compute P(Y 11.0). (Round your intermediate calculations to 4 decimal places, “z” value to 2 decimal places, and final answer to 4 decimal places.)

Compute P(6.6 < Y < 7.8). (Leave no cells blank - be certain to enter "0" wherever required. Round your intermediate calculations to 4 decimal places, “z” value to 2 decimal places, and final answer to 4 decimal places.)

Compute the 80th percentile of Y. (Round your intermediate calculations to 4 decimal places, “z” value to 2 decimal places, and final answer to the nearest whole number.)

Let Y = ex where X is normally distributed with = 2.3 and = 1.0. Compute the following values. Use Table 1.

Explanation / Answer

a)P(Y<11) =P(Z<((ln(11-2.3)/1)=P(Z<0.10) =0.5398

b)P(6.6<Y<7.8)=P((ln(6.6-2.3)/1<Z<(ln(7.8-2.3)/1)=P(-0.41<Z<-0.25)=0.4013-0.3409 =0.0604

c) for 80th percentile ; z =0.84

hence 80th percentile of Y =e2.3+0.84*1 =~23

please revert for any clarification required.

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