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

If you need immediate math help from PAID TUTORS right now, click here. (paid link)
Click here to see ALL problems on Probability-and-statistics

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(48516) (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.