A certain Gas Station sells X thousand gallons of gas each week. Suppose that the cumulativedistribution function for X is given by F(x) =1–-(2 – x)*10.Osxs2If the tank contains 1.6 thousand gallons at the beginning of the week, find the probability thatthe gas station will have enough gas for its customers throughout the week.How much gas must be in the tank at the beginning of the week to have a 99% likelihood thatthere will be enough gasoline for the week? Compute the density function for X. o = 100 if theScores on a school's entrance exam are normally distributed with u= 500school wishes to admit only the students in the top 40% what should be the cutoff grade?15.

Answered: A certain Gas Station sells X thousand…

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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Let XX represent the full height of a certain species of tree. Assume that XX has a normal probability distribution with a mean of 97.9 ft and a standard deviation of 5.4 ft.A tree of this type grows in my backyard, and it stands 86 feet tall. Find the probability that the height of a randomly selected tree is as tall as mine or shorter.P(X<86)P(X<86) = My neighbor also has a tree of this type growing in her backyard, but hers stands 112.5 feet tall. Find the probability that the full height of a randomly selected tree is at least as tall as hers.P(X>112.5)P(X>112.5) = Enter your answers as decimals accurate to 4 decimal places.
For a randomly selected county in the United States, let X represent the proportion of adults over age 65 who are employed, or the elderly employment rate. Then, X isrestricted to a value between zero and one. Suppose that the cumulative distribution function(CDF) for X is given by F(x) = 3x^2-2x^3 for 0<=x<=1Find the probability that the elderly employment rate is at least 0.6 (60%).What is the probability that the elderly employment rate is at most 0.3 (30%) course: Applied Statistics and Econometrics
Today, the waves are crashing onto the beach every 5.1 seconds. The times from when a person arrives at the shoreline until a crashing wave is observed follows a Uniform distribution from 0 to 5.1 seconds. Round to 4 decimal places where possible. The probability that a person will be born between weeks 18 and 52 is P(18<x<52)P(18<x<52) = The probability that a person will be born after week 40 is P(x > 40) = P(x > 10 | x < 47) =
A mail order company has an 8% success rate. If it mails advertisements to 502 people, find the probability of getting less than 34 sales. Round z -value calculations to 2 decimal places and final answer to at least 4 decimal places. P(X<34)=
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Students arrive one at a time, completely at random, to an advice clinic at a rate of10 per hour. Students take on average 5 minutes of advice but there is wide variation inthe time they need; this variation may be well modeled by the exponential distribution.b. Again assuming one advisor, what is the probability that there are more than tenstudents in the clinic at a random point in time? What is the probability that the timespent in the clinic exceeds 30 minutes?.
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if x 20 Find the following: P(X > 22) =| The cumulative distribution function of X: if x 20 The probability that at least one out of 8 devices of this type will function for at least 29 months:
he chance of an IRS audit for a tax return with over $25,000 in income is about 2% per year. We are interested in the expected number of audits a person with that income has in a 10-year period. Assume each year is independent. Give the distribution of X.X ~
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