The lengths of metal strips are normally distributed with a mean of 120 cm and a standard

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The lengths of metal strips are normally distributed with a mean of 120 cm and a standard deviation of 10 cm. Find the probability. that a strip selected at random has a length

(a) greater than 105 cm,

(b) within 5 cm of the mean. Strips that are shorter than L cm are rejected. Estimate the value of L, correct to one decimal place, if 9% or all strips are rejected. In a sample of 500 strips, estimate the number having a length over 126 cm.

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