Part 1: A manufacturer knows that their items
have a normally distributed lifespan, with a mean of 4.4 years, and
standard deviation of 0.9 years.
The 2% of items with the shortest lifespan will last less than how
many years?
Part 2: 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 6.1-in and a
standard deviation of 1-in. Due to financial constraints, the
helmets will be designed to fit all men except those with head
breadths that are in the smallest 2.3% or largest 2.3%.
What is the minimum head breadth that will fit the clientele?
min =
What is the maximum head breadth that will fit the clientele?
max =
Part 3: The combined SAT scores for the
students at a local high school are normally distributed with a
mean of 1527 and a standard deviation of 295. The local college
includes a minimum score of 1616 in its admission
requirements.
What percentage of students from this school earn scores that
satisfy the admission requirement?
P(X > 1616) = %
Part 1: A manufacturer knows that their items have a normally distributed lifespan, with a mean...
A manufacturer knows that their items have a normally distributed lifespan, with a mean of 2.3 years, and standard deviation of 0.6 years. If you randomly purchase one item, what is the probability it will last longer than 4 years?
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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 5.6-in and a standard deviation of 1-in. Due to financial constraints, the helmets will be designed to fit all men except those with head breadths that are in the smallest 0.5% or largest 0.5%. What is the minimum head breadth that will fit the clientele? min =...
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