Question

A jar of peanut butter contains

460g with a standard deviation of 10.2g. Find the probability that a jar contains

less than 448g. Assume a normal distribution.

The probability the jar contains less than 448 g is _____

Answer 1

Given A jar of peanut butter contains = 460g with a standard deviation of = 10.2g, Assuming a normal distribution. Now the probability is calculated by finding the Z score and using the excel formula for normal distribution. P(X<448) is calculated by finding the Z score which is calculated as:

Now the X value is transformed into normal Z scores as:

P(X < 448) = P(Z<-1.176)

Now the probability is calculated using the excel formula which is =NORM.S.DIST(-1.176, TRUE), thus the probability is calculated as 0.1198.

The probability the jar contains less than 448 g is 0.1198

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