Question

In: Statistics and Probability

Round and keep 4 decimals Find the value of x∗ that yields the probability shown, where...

Round and keep 4 decimals

Find the value of x∗ that yields the probability shown, where X is a normally distributed random variable X with mean 54 and standard deviation 12.

P(X>x∗)=0.6500

Heights of women are normally distributed with mean 63.7 inches and standard deviation 2.47 inches.

Find the height that is the 10th percentile.
Find the height that is the 80th percentile.

Solutions

Expert Solution

Refer Standard normal table/Z-table, Lookup for z-score corresponding to area 0.6500 to the right of the normal curve OR use excel formula "=NORM.S.INV(1-0.6500)" to find the z-score.

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Refer Standard normal table/Z-table, Lookup for z-score corresponding to area 0.10 to the left of the normal curve OR use excel formula "=NORM.S.INV(0.10)" to find the z-score.

Refer Standard normal table/Z-table, Lookup for z-score corresponding to area 0.80 to the left of the normal curve OR use excel formula "=NORM.S.INV(0.80)" to find the z-score.

orchestra answered 1 year ago

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