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 5.8 inches and a standard deviation of 1.2 inches. X be the head breadth of a potential clientele. Binomial: B, Uniform: U, Normal: N What is the distribution of X? X ~ N V 5.8 1.2 Round the following answers to three decimal places. Hint: Find the z-score, and use R. If a client is randomly chosen, find the probability that his head breadth is beyond 2.8 inches. 0.994 Maximum: ▼ Part 2 of 3 If a client is randomly chosen, find the probability that his head breadth is between 7.6 and 8.2 inches. 0.044 inches inches. Round the following answers to three decimal places. Due to financial constraints, the helmets will be designed to fit all men except those with head breadths that are in the smallest 2.5% or largest 2.5%. What is the minimum and maximum head breadths that will fit the clientele? Minimum: Part 3 of 3

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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 5.8 inches and a standard deviation of 1.2 inches. X be the head breadth of a
potential clientele.
Binomial: B, Uniform: U, Normal: N
What is the distribution of X? X NV
5.8
1.2
Round the following answers to three decimal places.
Hint: Find the z-score, and use R.
If a client is randomly chosen, find the probability that his head breadth is beyond 2.8 inches. 0.994
Maximum:
Part 2 of 3
If a client is randomly chosen, find the probability that his head breadth is between 7.6 and 8.2 inches.
0.044
inches
inches.
Round the following answers to three decimal places.
Due to financial constraints, the helmets will be designed to fit all men except those with head breadths
that are in the smallest 2.5% or largest 2.5%. What is the minimum and maximum head breadths that will
fit the clientele?
Minimum:
Part 3 of 3
Transcribed Image Text: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 5.8 inches and a standard deviation of 1.2 inches. X be the head breadth of a potential clientele. Binomial: B, Uniform: U, Normal: N What is the distribution of X? X NV 5.8 1.2 Round the following answers to three decimal places. Hint: Find the z-score, and use R. If a client is randomly chosen, find the probability that his head breadth is beyond 2.8 inches. 0.994 Maximum: Part 2 of 3 If a client is randomly chosen, find the probability that his head breadth is between 7.6 and 8.2 inches. 0.044 inches inches. Round the following answers to three decimal places. Due to financial constraints, the helmets will be designed to fit all men except those with head breadths that are in the smallest 2.5% or largest 2.5%. What is the minimum and maximum head breadths that will fit the clientele? Minimum: Part 3 of 3
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The mean is 5.8 and standard deviation is 1.2.

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