A new car that is a gas- and electric-powered hybrid has recently hit the market. The distancetravelled on 1 gallon of fuel is normally distributed with a mean of 65 miles and a standard deviation of7 miles. Find the probability of the following events:A. The car travels more than 69 miles per gallon.Probability =B. The car travels less than 62 miles per gallon.Probability =C. The car travels between 62 and 73 miles per gallon.Probability =

Let X be the random variable from normal distribution with mean (μ) = 65 miles and standard…

Answered: A new car that is a gas- and…

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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The amount of time people spend at the gym follows a uniform distribution from 45 to 90 minutes. What is the probability that somebody spends less than 50 minutes at the gym?
Suppose that the number of hours that an adult watches in a day has a mean of 2.4 hours and a standard deviation of .7 hours. i. What is the probability that an adult watches more than 3.5 hours in a day?Calculate the z-score. Draw a diagram, Then find the probability.ii. What is the probability that a person watches between 2 and 3 hours of TV a day? Write the probability notation. Calculate the z-score. Draw a diagram. then you may find the probability.iii. What is the 40th percentile for the number of hours an adult watches TV in a day?
Solve the problem.Assume that mountain lions' weights are normally distributed with a mean of 62.6 kilograms and a standard deviation of 2.6 kilograms. If 70 mountain lions are randomly selected, find the probability that they have a mean weight between 61.9 kilograms and 62.8 pounds.
1, the mean number of goldfish in the package is 187. find the probability of choosing a package with 147 or more goldfish. 2, Michael Jordan made 83.5% of his free throws for every 200 free throws. find the mean number of free throws made and the standard deviation.
In a club with 10 male and 13 female members, how many 7 members committees can be chosen that have : Does the problem involve permutations or combinations? _ Permutations _ Combinations a, There can be ___ all-male committees b, There can be ___ all-female committees c, There can be ___ 7 member committees with 4 men and 3 women
Provide an appropriate response. Suppose a brewery has a filling machine that fills 12 ounce bottles of beer. It is known that the amount of beer poured by this filling machine follows a normal distribution with a mean of 14.14 ounces and a standard deviation of 0.04 ounce. Find the probability that the bottle contains more than 14.14 ounces of beer. 1 O 0.4 O 0.5
A class has 12 students registered. On any class time 45% of the students are absent. a. Find the mean and standard deviation of the absent students in the class. b. What is the probability that 7 students will be absent from class on any given day? c. What is the probability that less than 3 or more than 9 will be absent? d. What is the probability that less than 2 and more than 9 will be absent?
A door-to-door salesperson is visiting houses in Hamilton to sell internet plans. The probability that a house decides to buy the internet plan is 25%. The salesperson visits 100 houses. Using normal approximation, determine the mean, standard deviation, and probability that less than 30 houses buy the internet plan.
The lengths of pregnancies are normally distributed with a mean of 267 days and a standard deviation of 15 days. a. Find the probability of a pregnancy lasting 309 days longer. b. If the length of pregnancy is in the lowest 2%then the baby is premature. Find the length that separates premature babies from those who are not Premature
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A professor of statistics noticed that the marks in his course are normally distributed. He also noticed that his morning classes average 73% with a standard deviation of 12% on their final exams. His afternoon classes average 79% with a standard deviation of 11%. A. What is the probability that a randomly selected student in the morning class has a higher final exam mark than a randomly selected student from an afternoon class? Probability = B. What is the probability that the mean mark of four randomly selected students from a morning class is greater than the average mark of four randomly selected students from an afternoon class? Probability =
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