4. Manhole covers must be a minimum of 22 in. in diameter, but can be as much as 60 in. in diameter. Assume that a manhole is constructed to have a circular opening with a diameter of 22 in. Men have shoulder widths that are normally distributed with a mean of 18.2 in. and a standard deviation of 1.0 in. a) What percentage of men will fit into the manhole? Type your answer... -DO b) Assume 36 men are selected at random, what is the probability that their mean shoulder breadth is less than 18.5 in.? Type your answer...

A First Course in Probability (10th Edition)
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Chapter1: Combinatorial Analysis
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4. Manhole covers must be a minimum of 22 in. in
diameter, but can be as much as 60 in. in diameter.
Assume that a manhole is constructed to have a
circular opening with a diameter of 22 in. Men have
shoulder widths that are normally distributed with a
mean of 18.2 in. and a standard deviation of 1.0 in.
a) What percentage of men will fit into the manhole?
Type your answer...
D
b) Assume 36 men are selected at random, what is the
probability that their mean shoulder breadth is less
than 18.5 in.?
Type your answer...
Transcribed Image Text:4. Manhole covers must be a minimum of 22 in. in diameter, but can be as much as 60 in. in diameter. Assume that a manhole is constructed to have a circular opening with a diameter of 22 in. Men have shoulder widths that are normally distributed with a mean of 18.2 in. and a standard deviation of 1.0 in. a) What percentage of men will fit into the manhole? Type your answer... D b) Assume 36 men are selected at random, what is the probability that their mean shoulder breadth is less than 18.5 in.? Type your answer...
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