please, draw the probability distribution chart(s) and solve the questions.5.106-What is the 40th percentile of a normal distribution with mean = 5 and variance = 9? Accident EpidemiologyAutomobile accidents are a frequent occurrence and oneof the leading causes of morbidity and mortality amongpersons 18-30 years of age. The National Highway & Traf-fic Safety Administration (NHTSA) has estimated that theaverage driver in this age group has a 6.5% probability ofhaving at least one police-reported automobile accidentover the past year.Suppose we study a group of medical interns who areon a typical hospital work schedule in which they haveto work through the night for at least one of every threenights. Among 20 interns, 5 report having had an auto-mobile accident over the past year while driving to or fromwork.Suppose the interns have the same risk of having an auto-mobile accident as a typical person ages 18-30. 5.107 What is the sum of the 40th and 60th percentiles ofa normal distribution with a mean = 8.2 and variance = 9.5?%3D5.108 What is z.?.90

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5.106-What is the 40th percentile of a normal distribution with mean = 5 and variance = 9?

A First Course in Probability (10th Edition)

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ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

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Concept explainers

Continuous Probability Distributions

Probability distributions are of two types, which are continuous probability distributions and discrete probability distributions. A continuous probability distribution contains an infinite number of values. For example, if time is infinite: you could count from 0 to a trillion seconds, billion seconds, so on indefinitely. A discrete probability distribution consists of only a countable set of possible values.

Normal Distribution

Suppose we had to design a bathroom weighing scale, how would we decide what should be the range of the weighing machine? Would we take the highest recorded human weight in history and use that as the upper limit for our weighing scale? This may not be a great idea as the sensitivity of the scale would get reduced if the range is too large. At the same time, if we keep the upper limit too low, it may not be usable for a large percentage of the population!

Question

please, draw the probability distribution chart(s) and solve the questions.

5.106-What is the 40th percentile of a normal distribution with mean = 5 and variance = 9?

Accident Epidemiology
Automobile accidents are a frequent occurrence and one
of the leading causes of morbidity and mortality among
persons 18-30 years of age. The National Highway & Traf-
fic Safety Administration (NHTSA) has estimated that the
average driver in this age group has a 6.5% probability of
having at least one police-reported automobile accident
over the past year.
Suppose we study a group of medical interns who are
on a typical hospital work schedule in which they have
to work through the night for at least one of every three
nights. Among 20 interns, 5 report having had an auto-
mobile accident over the past year while driving to or from
work.
Suppose the interns have the same risk of having an auto-
mobile accident as a typical person ages 18-30.

5.107 What is the sum of the 40th and 60th percentiles of
a normal distribution with a mean = 8.2 and variance = 9.5?
%3D
5.108 What is z.?
.90

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