The amount of coffee dispensed by a certain machine into a cup is a continuous random variable x that assumes all values from x = 11 and x = 25 ounces with uniform probability distribution. 1. Find the probability that a cup filled by this machine will contain at least 14.5 ounces. 2.Find the probability that a cup filled by this machine will contain more than 16.5 ounces but less than 18 ounces. 3. Find k such that P (x > k) = 0.3. Explain what this number represents.

The amount of coffee dispensed by a certain machine into a cup is a continuous random variable x that assumes all values from x = 11 and x = 25 ounces with uniform probability distribution. 1. Find the probability that a cup filled by this machine will contain at least 14.5 ounces. 2.Find the probability that a cup filled by this machine will contain more than 16.5 ounces but less than 18 ounces. 3. Find k such that P (x > k) = 0.3. Explain what this number represents.

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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Question 2

The amount of coffee dispensed by a certain machine into a cup is a continuous random variable x that assumes all values from x = 11 and x = 25 ounces with uniform probability distribution.

1. Find the probability that a cup filled by this machine will contain at least 14.5 ounces.

2.Find the probability that a cup filled by this machine will contain more than 16.5 ounces but less than 18 ounces.

3. Find k such that P (x > k) = 0.3. Explain what this number represents.

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Step 2: Compute the probability that a cup filled by this machine will contain at least 14.5 ounces

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Step 3: Compute P(16.5<X<18)

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