The article “Computer Assisted Net Weight Control”(Quality Progress, 1983: 22–25) suggests a normal distributionwith mean 137.2 oz and standard deviation1.6 oz for the actual contents of jars of a certain type. Thestated contents was 135 oz.a. What is the probability that a single jar containsmore than the stated contents?b. Among ten randomly selected jars, what is the probabilitythat at least eight contain more than the statedcontents?c. Assuming that the mean remains at 137.2, to whatvalue would the standard deviation have to be changedso that 95% of all jars contain more than the statedcontents?

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The article “Computer Assisted Net Weight Control”
(Quality Progress, 1983: 22–25) suggests a normal distribution
with mean 137.2 oz and standard deviation
1.6 oz for the actual contents of jars of a certain type. The
stated contents was 135 oz.
a. What is the probability that a single jar contains
more than the stated contents?
b. Among ten randomly selected jars, what is the probability
that at least eight contain more than the stated
contents?
c. Assuming that the mean remains at 137.2, to what
value would the standard deviation have to be changed
so that 95% of all jars contain more than the stated
contents?

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