Question
In: Statistics and Probability
Suppose that the weights of airline passenger bags are normally distributed with a mean of 49.53...
Suppose that the weights of airline passenger bags are normally
distributed with a mean of 49.53 pounds and a standard deviation of
3.16 pounds.
a) What is the probability that the weight of a bag will be greater
than the maximum allowable weight of 50 pounds? Give your answer to
four decimal places.
b) Let X represent the weight of a randomly selected bag. For what
value of c is P(E(X) - c < X < E(X) + c)=0.96? Give your
answer to four decimal places.
c) Assume the weights of individual bags are independent. What is
the expected number of bags out of a sample of 17 that weigh
greater than 50 lbs? Give your answer to four decimal
places.
d) Assuming the weights of individual bags are independent, what is
the probability that 8 or fewer bags weigh greater than 50 pounds
in a sample of size 17? Give your answer to four decimal
places.
Solutions
orchestra answered 1 year agoRelated Solutions
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a) What is the probability that the weight of a bag will be greater
than the maximum allowable weight of 50 pounds? Give your answer to
four decimal places.
b) Assume the weights of individual bags are independent. What
is the expected number of bags out of a sample of 11 that weigh
greater than 50...
Suppose that the weights of airline passenger bags are normally distributed with a mean of 49.53...
Suppose that the weights of airline passenger bags are normally
distributed with a mean of 49.53 pounds and a standard deviation of
3.16 pounds.
a) What is the probability that the weight of a bag will be greater
than the maximum allowable weight of 50 pounds? Give your answer to
four decimal places.
b) Let X represent the weight of a randomly selected bag. For what
value of c is P(E(X) - c < X < E(X) + c)=0.96? Give...
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