The cross-sectional area of plastic tubing for use in pulmonary resuscitators is normally distributed with mean 12mm² and standard deviation 0.5mm². A random sample of 12 tubes is selected for inspection. a) What is the probability that one of the tubes has a cross-sectional area less than 11.5mm²? b) What is the probability that the sample mean of the tubes is more than 11.5mm²? c) Of the 12 tubes samples, how many would you expect to have a cross- sectional area less than 11.5mm²? d) What is the probability that exactly half of the tubes sampled have a cross- sectional area less than 11.5mm²?

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The cross-sectional area of plastic tubing for use in pulmonary resuscitators is
normally distributed with mean 12mm² and standard deviation 0.5mm². A random
sample of 12 tubes is selected for inspection.
Question 2:
a) What is the probability that one of the tubes has a cross-sectional area less
than 11.5mm2?
b) What is the probability that the sample mean of the tubes is more than
11.5mm??
c) Of the 12 tubes samples, how many would you expect to have a cross-
sectional area less than 11.5mm²?
d) What is the probability that exactly half of the tubes sampled have a cross-
sectional area less than 11.5mm²?
Transcribed Image Text:The cross-sectional area of plastic tubing for use in pulmonary resuscitators is normally distributed with mean 12mm² and standard deviation 0.5mm². A random sample of 12 tubes is selected for inspection. Question 2: a) What is the probability that one of the tubes has a cross-sectional area less than 11.5mm2? b) What is the probability that the sample mean of the tubes is more than 11.5mm?? c) Of the 12 tubes samples, how many would you expect to have a cross- sectional area less than 11.5mm²? d) What is the probability that exactly half of the tubes sampled have a cross- sectional area less than 11.5mm²?
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