For a continuous random variable X , P (28 72) = 0.

For a continuous random variable X , P (28 < X < 72) = 0.26 and P ( X > 72) = 0.

ID: 3430754 • Letter: F

Question

For a continuous random variable X, P(28 < X < 72) = 0.26 and P(X > 72) = 0.2. Calculate the following probabilities. (Leave no cells blank - be certain to enter "0" wherever required. Round your answers to 2 decimal places.)

a. P(X < 72) b. P(X < 28) c. P(X = 72)

Explanation / Answer

given

P(28<X<72)=0.26

P(X>72)=0.20

this gives P(X<72)=1-P(X>72)=1-0.20=.80

A)since X is continuous distribution so

P(X<72)=P(X<72)=0.80

P(X<28)=?

since P(28<X<72)=P(X<72)-P(X<28)=0.26

this implies

P(X<28)=P(X<72)-0.26=0.80-0.26=0.54

as distribution is continuous

hence P(X=72)=0

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For a continuous random variable X , P (28 < X < 72) = 0.26 and P ( X > 72) = 0.

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