Assume that the total cholesterol levels for adults are normally distributed with mean cholesterol level of

Assume that the total cholesterol levels for adults are normally distributed with mean cholesterol level of 51.6 mg/dL and standard deviation

14.3 mg/dL. Find the probability that an individual will have a cholesterol level greater than 58 mg/dL.

Expert Solution

Let the random variable denoting the cholestrol levels be X.

So, X ~ N(51.6, 14.3²)

So, the probability that an individual will have a cholestrol level greater than 58 =

P(X >58) = 1-P(X<58)

= 1 - P(Z < (58-51.6)/14.3)

= 1 - P( Z < 0.44755)

= 1 - 0.673

= 0.327.

So, the probability that an individual will have a cholestrol level of greater than 58 would be 0.327.

Rahul Sunny answered 2 years ago

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