4. The average of a bread-making machine is 7 years, with standard deviation of 1 year. Assuming that the lives of these machines follow approximately a normal distribution, find a) the probability that the mean life of a random sample of 9 such machines falls between 6.4 and 7.2 years b) the value of x to the right of which 15% of the mean computed from random samples of size 9 would fall.

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4. The average of a bread-making machine is 7 years, with standard deviation of 1 year.
Assuming that the lives of these machines follow approximately a normal distribution,
find
a) the probability that the mean life of a random sample of 9 such machines falls
between 6.4 and 7.2 years
b) the value of x to the right of which 15 % of the mean computed from random
samples of size 9 would fall.
Transcribed Image Text:4. The average of a bread-making machine is 7 years, with standard deviation of 1 year. Assuming that the lives of these machines follow approximately a normal distribution, find a) the probability that the mean life of a random sample of 9 such machines falls between 6.4 and 7.2 years b) the value of x to the right of which 15 % of the mean computed from random samples of size 9 would fall.
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