The amount of electricity consumed (in kWh) on a randomly chosen day in a warehouse can be modelled by the random variable withprobability density function given byfor 25

Given that Probability density function f(x) f(x)=30/x2 , 25<x<150 0…

Answered: The amount of electricity consumed (in…

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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For a particular kind of battery, the probability density function for x hours to be the life of a battery selected at random is given by -x/60 x > 0 f(x) = - 60 0, x < 0 Find the probability that the life of a battery selected at random will be between 15 and 25 hours.
The probability density function for the length of time of postal clerk spends with a customer (equation down below). calculate the likelihood that a clerk will spend 4-5 min with a randomly picked customer
Since height is a continuous numerical variable, its probability density function is represented by the smooth curve below. What is true about the area under the curve? 140 160 180 200 height (cm) The area does not represent all possible heights, so the area under the curve and probability are both 0. O The area does not represent all possible heights, so the area above the curve is 1. O The area represents all possibile heights, so the area and probability are both 100. The area represents all possible heights, so the area under the curve and probability of all the height occurring are both 1.
Which of the following tables shows a valid probability density function? Select all correct answers. Select all that apply: x P(X=x) 0 0.6 1 0.01 2 0.14 x P(X=x) 0 310 1 110 2 25 x P(X=x) 0 18 1 14 2 58 x P(X=x) 0 0.13 1 0.09 2 0.45 3 0.27 4 0.06 x P(X=x) 0 −15 1 310 2 12 3 310 4 110 x P(X=x) 0 12 1 18 2 38
Suppose you have the probability density function if 3 < x < 9 f(x) otherwise Find the cumulative distribution function of X. Select an answer ♥ F(x) if Select an answer if Select an answer Note: When writing your piecewise function, start with the left-most interval.
The estimated life of an electronic component (measured in months) follows the probability density function below: .x.e x > 0 f(x) = {4 elsewhere 1. Find the probability that estimated life is greater than 5. 2. Find the mean of the estimated life
Directions: The amount of time required to serve a customer at a bank has an exponential density function with mean 4 minutes. 1. Find the probability that a customer is served in less than 3 minutes. Probability = 2. Find the probability that serving a customer will require more than 6 minutes. Probability =
finish the rest of the questions please!!!
Determine whether the following function is a probability density function. f(x) = x, 0sxs8 32 Is the function f(x) a probability density function? No Yes
The probability density function of the net weight in pounds of a packaged chemical herbicide is f(x) = 2.0 for 49.75 < x < 50.25 pounds. Determine the probability that a package weighs more than 50 pounds. i
Find k such that the function is a probability density function over the given interval. Then write the probability density function. f(x) = kx, 1≤x≤8 What is the value of k? k = 1 (Simplify your answer.) What is the probability density function? f(x) =
Suppose a college professor never finishes her lecture before the end of the class period, and always finishes within five minutes after the class period is supposed to end. Let X = time that elapses between the end of the class period and the actual end of the lecture. Suppose the pdf of X is: (image) Find the value of k that makes f(x) a legitimate probability density function, and use that value of k to find the probability that the lecture ends less than 3 minutes after the class period is supposed to end.

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The amount of electricity consumed (in kWh) on a randomly chosen day in a warenouse Can probability density function given by for 25