A factory machine cuts metal wire into strips the length of


A factory machine cuts metal wire into strips. The length of the strips is known to follow a normal distribution with the mean of 10 cm and variance of 9 cm2.

(a) What is the probability that a randomly selected strip will be longer than 12 cm?

(b) What proportion of strips are as short or shorter than 1.5 standard deviations from the mean?

(c) What is the probability that at most one strip will be longer than 12 cm in a sample of 10 randomly selected strips?

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