SOLUTION: The amount of toothpaste injected into a tube is distributed normally with a population mean of 6.5 ounces and a population standard deviation of .8 ounces. Calculate the following

Algebra ->  Probability-and-statistics -> SOLUTION: The amount of toothpaste injected into a tube is distributed normally with a population mean of 6.5 ounces and a population standard deviation of .8 ounces. Calculate the following      Log On


   

Question 662264: The amount of toothpaste injected into a tube is distributed normally with a population mean of 6.5 ounces and a population standard deviation of .8 ounces. Calculate the following probabilities given X is the amount of toothpaste injected into a tube.
a. Between 5.5 and 8.0 ounces are injected. P(5.5 b. Greater than 4.25 ounces will be injected. P(X>4.25)
c. Between 7.25 and 8.15 ounces. P(7.25 d. Greater than 7.5 ounces P(x>7.5)
e. Over-filling is defined as the top 2.5% (.025) of the tube. What amount above which is defined as an overfill?
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!
 

Hi,

you did not say HOW You determine the P-value after finding the z-values

μ = 6.5oz and   σ = .8oz

P(5.5 < x < 8.0) = P((5.5-6.5)/.8 ≤ z ≤ (8-6.5)/.8)= P(-1.25≤z ≤ 1.875)= P(z≤ .1.875) -P(z≤ -1.25)