1. The weights X of ball bearings are known to have a normal distribution with mean 4.5g and standard deviation 0.1g. A random sample of 25 items from a batch are inspected. Calculate the probabilities: (a) a chosen ball bearing weighs less than 4.35g (b) the mean of the sample is less than 4.35g

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1. The weights X of ball bearings are known to
have a normal distribution with mean 4.5g and
standard deviation 0.1g. A random sample of
25 items from a batch are inspected. Calculate
the probabilities:
(a) a chosen ball bearing weighs less than
4.35g
(b) the mean of the sample is less than 4.35g
Transcribed Image Text:1. The weights X of ball bearings are known to have a normal distribution with mean 4.5g and standard deviation 0.1g. A random sample of 25 items from a batch are inspected. Calculate the probabilities: (a) a chosen ball bearing weighs less than 4.35g (b) the mean of the sample is less than 4.35g
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