Suppose that one variable, x, is chosen randomly and uniformly from [0, 5], andanother variable, y, is also chosen randomly and uniformly from [0, 10]. What isthe probability that x ≤ y ≤ 2x + 1?The probability for x ≤ y ≤ 2x + 1 isRound your answer to four decimal places.

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Answered: Suppose that one variable, x, is chosen…

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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Tammy is a general contractor and has submitted two bids for two projects (A and B). The probability of getting project A is 0.66. The probability of getting project B is 0.77. The probability of getting at least one of the projects is 0.90. What is the probability that she will get both projects? Please do not show your process, please answer the question with a fraction, e.g., 1/4 or as a number between 0 and 1 with two significant digits, e.g., 0.25 or .25. Round your numbers if necessary, e.g., round 0.256 to 0.26, and round 0.253 to 0.25.
Suppose the probability that a male develops some form of cancer in his lifetime is 0.4573. Suppose the probability that a male has at least one false positive test result (meaning the test comes back for cancer when the man does not have it) is 0.51, and that this probability is independent of the probability that a male will develop cancer in his lifetime. • C = a man develops cancer in his lifetime• F = a man has at least one false positive Part (a) Construct a tree diagram of the situation. P(C) = P(F | C) = P(F | C' ) If a test comes up positive, based upon numerical values, can you assume that man has cancer? Justify numerically and explain why or why not. -You cannot assume the man has cancer because there is not enough information given. -You cannot assume the man has cancer because there is a 51% chance that the test is false. -You cannot assume the man has cancer because both the probability of developing cancer in his lifetime and the probability of…
A student will take an exam that lasts a maximum of one hour. The probability that the student finishes the exam before x hours is x / 2, 0 ≤x≤1. If it is known that the student is still taking the exam at the end of 0.75 hours, what is the probability that the student will use the entire hour?
Each of the numbers 0 - 9 is written on a sheet of paper and the ten sheets of paper are placed in a box If two of these sheets of paper are selected from the box at random, without replacement, find the probability that both numbers are greater than 7.
A machine has 32 identical components which function independently. The probability that a component will fail is 0.28. The machine will stop working if more than three components fail. Find the probability that the machine will be working. Round to the nearest thousandth.
Suppose that the population is 1000 people and the probability of cat people is 25% if we take a random sample of 100 people what is the probability that the proportion in the sample will be bigger than 29%
Cassandra buys a bag of cookies that contains 4 chocolate chip cookies, 8 peanut butter cookies, 6 sugar cookies and 8 oatmeal cookies. What is the probability that Cassandra reaches in the bag and randomly selects a sugar cookie from the bag, eats it, then reaches back in the bag and randomly selects an oatmeal cookie? Give your answer as a fraction, or accurate to at least 4 decimal places.
A large bag contains pretzels with 3 different shapes: heart, square, circle . Billy plans to reach into the bag and draw out one pretzel at a time, stopping only when he has at least one pretzel of each type. Let the random variable X denote the number of pretzels that Billy will draw from the bag. You can assume that there is an infinite number of pretzels in the bag with equal proportions of each shape. Find E(X).

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Suppose that one variable, x, is chosen randomly and uniformly from [0, 5], and another variable, y, is also chosen randomly and uniformly from [0, 10]. What is the probability that x ≤ y ≤ 2x + 1? The probability for x ≤ y ≤ 2x + 1 is Round your answer to four decimal places.