Question

Part of the quality testing of the Kensington French Fries Corporation is to ensure that all frozen products have product size uniformity.  To celebrate the fall season, a new russet burbank fry has been released.  A package is expected to contain between 240 grams and 260 grams.  Assuming that the uniform distribution applies, answer the following questions:
a.)	What is the mean amount per package?
b.)	What is the standard deviation?
c.)	What is the probability of selecting a package is less than 255 grams?
d.)	What is the probability of selecting a package is more than 255 grams?

Answer 1

According to question we are assuming that the uniform distribution applies here.

SOLUTION a: MEAN OF UNIFORM DISTRIBUTION IS GIVEN BY

MEAN=

SOLUTION b: STANDARD DEVIATION:

SOLUTION c: The provided lower limit of the distribution is a=240, and the upper limit is b=260. We need to compute Pr(X≤255)

Therefore, the following is obtained:

SOLUTION d: