Full solution please. Please be careful and do not post wrong answers, I am prep
ID: 3263706 • Letter: F
Question
Full solution please. Please be careful and do not post wrong answers, I am preparing for a test. Thank you!
3. The true weight of "10-pound" sacks of potatoes processed at a certain packaging house follows a normal distribution with mean of 10.1 pounds and standard deviation of 0.2 pounds. a What is the probability that a a) What is the probability that a sack weighs at least 10 pounds? A random sample of 9 sacks is selected. What is the probability that the average weight of these 9 is at least 10 pounds? b)Explanation / Answer
Q3
a) P(X>10)
= P(z>(10-10.1)/0.2)
= P(z>-0.5)
= 0.6915
b)
P( X>10)
=P(z>((10-10.1)/0.2)*Sqrt (9)
= P(Z>-1.5)
= 0.9332
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