Problem 2: Let X be a random variable that represents the flow, in cm³/s that goes through awater pipe that discharges into Lake Ontario at any point in time. You have determined that Xfollows a normal distribution with mean 30cm³/s and standard deviation 5cm³/s.a) What is the probability that the flow through the pipe exceeds 37cm³/s?b) What is the probability that the flow through the pipe is at most 25cm³/s?c) The probability that the flow through the pipe is between 30 - f cm³/s and 30 +f cm³/s is 0.6, what is the value of f?

Given Information: X is a random variable that denotes the flow in cm3/s that goes through a water…

Answered: Problem 2: Let X be a random variable…

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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8) a) In simple words describe the median, dos, of the probability distribution for a continuous random variable Y. b) Write the median for a random variable with uniform distribution on the interval [a,b]. c) Write the median for a normal distribution with mean u and standard deviation o. d) Find the median for an exponential distribution with mean ß.
1. (See Handout 1, Example 1). The life expectancy of a particular brand of lightbulb is normally distributed with a mean of 1500 hours and a standard deviation of 75 hours. We want to calculate the probability that a lightbulb will last more than 1440 hours. a) Calculate the critical z-score. b) Label the axis and shade the area under the curve that we are interested in. Hours z-score c) What is the probability that a lightbulb will last more than 1440 hours? d) What is the probability that a lightbulb will last less than 1440 hours?
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Question 9 According to a study, the salaries of registered nurses are normally distributed with a mean of 55770 dollars and a standard deviation of 6955 dollars. Let X be the salary of a randomly selected registered nurse. 1. Describe the probability distribution of X and state its parameters and o: (μ: X Select an answer Select an answer B IZ XLIN Z 2. Find the probability that the salary of a randomly selected registered nurse is a. less than 71106 dollars. b. between 35101 and 48927 dollars. c. more than 71605 dollars. σ= (Round the answer to 4 decimal places) (Round the answer to 4 decimal places) (Round the answer to 4 decimal places) 3. Find the 55-th percentile for the salaries of registered nurses. decimal place) dollars (Round the answer to 1
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