1.Engineers must consider the breadths of male heads when designing helmets. The company researchers have determined…

1.Engineers must consider the breadths of male heads when
designing helmets. The company researchers have determined that the
population of potential clientele have head breadths that are
normally distributed with a mean of 7-in and a standard deviation
of 1.2-in. Due to financial constraints, the helmets will be
designed to fit all men except those with head breadths that are in
the smallest 1.2% or largest 1.2%. What is the minimum head breadth
that will fit the clientele? min = What is the maximum head breadth
that will fit the clientele? max = Enter your answer as a number
accurate to 1 decimal place.
2.Company XYZ know that replacement times for the quartz time
pieces it produces are normally distributed with a mean of 16.9
years and a standard deviation of 1.8 years.

Find the probability that a randomly selected quartz time piece
will have a replacement time less than 11.9 years?

P(X < 11.9 years) = Enter your answer accurate to 4 decimal places. If the company wants to provide a warranty so that only 2.5% of the quartz time pieces will be replaced before the warranty expires, what is the time length of the warranty? warranty =years Enter your answer as a number accurate to 1 decimal place.

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