(a) The weights (kg) of new bom baby boys in Great Britain is normally distributed with a mean of 3.68 kilograms and a standard deviation of 0.96 kilograms." (i) What is the probability that a randomly selected new born baby boy weighs less than 3.1kg? (ii) Find the probability that a random sample of twelve new born baby boys yields a sample mean less than 3.1kg.

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(a) The weights (kg) of new bom baby boys in Great Britain is normally distributed with a
mean of 3.68 kilograms and a standard deviation of 0.96 kilograms.
(i)
What is the probability that a randomly selected new born baby boy weighs
less than 3.1kg?
(ii)
Find the probability that a random sample of twelve new born baby boys yields
a sample mean less than 3.1kg.
Transcribed Image Text:(a) The weights (kg) of new bom baby boys in Great Britain is normally distributed with a mean of 3.68 kilograms and a standard deviation of 0.96 kilograms. (i) What is the probability that a randomly selected new born baby boy weighs less than 3.1kg? (ii) Find the probability that a random sample of twelve new born baby boys yields a sample mean less than 3.1kg.
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