SOLUTION: The pretzel pack company advertized that their pretzels weigh 2.5 ounces. The weights are normally distributed with mean 2.5 ounces and standard deviation 0.15 ounces. For a pretze

Question 235129: The pretzel pack company advertized that their pretzels weigh 2.5 ounces. The weights are normally distributed with mean 2.5 ounces and standard deviation 0.15 ounces. For a pretzel pack selected at random find the probabilty that it weighs less than 2.2 ounces and find the probability that it weighs more than 2.8 ounces.
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
The pretzel pack company advertized that their pretzels weigh 2.5 ounces.
The weights are normally distributed with mean 2.5 ounces and standard deviation 0.15 ounces.
For a pretzel pack selected at random find the probabilty that it weighs less than 2.2 ounces and find the probability that it weighs more than 2.8 ounces.
-----------------
z(2.2) = (2.2-2.5)/0.15 =-2
z(2.8) = (2.8-2.5)/0.15 = 2
------------------------
P(2.2 < x < 2.8) = P(-2 < z < 2) = 0.9545
=============================================
Cheers,
Stan H.
RELATED QUESTIONS
The mean weight of a box of cereal filled by a machine is 15.0 ounces, with a standard... (answered by stanbon)

A company that sells yogurts has found that their machine that fills the 8oz containers... (answered by FrankM)

The weights of adult Asian palm civets are known to be normally distributed with a mean (answered by ewatrrr)

The weight of a sophisticated running shoe is normally distributed with a mean of 12... (answered by Boreal)

The average weight of a particular box of crackers is 37.0 ounces with a standard... (answered by Boreal)

The mean weight of a box of cereal filled by a machine is 16.0 ounces, with a standard... (answered by Theo)

A population of women’s weights is approximately normally distributed with a mean of... (answered by Boreal)

Use the Empirical Rule to answer each question. During 1 week an overnight delivery... (answered by Boreal)