Answered: Consider the probability density…

Consider the probability density function for a random variable X, given by for 0 < x < 5 10 f(x) = {x- TO for 5 < x < 7.5 25 10 otherwise. Find E(X), the expected value of X.

College Algebra (MindTap Course List)

12th Edition

ISBN:9781305652231

Author:R. David Gustafson, Jeff Hughes

Publisher:R. David Gustafson, Jeff Hughes

Chapter8: Sequences, Series, And Probability

Section8.7: Probability

Problem 39E: Assume that the probability that an airplane engine will fail during a torture test is 12and that...

See similar textbooks

Related questions

Q: The shelf life (in days) of a certain packaged food item is a continuous random variable with…

A: Given that Pdf of is f(x)= 20000/(x+100)3 , x>0

Q: The random variable X has the following probability density function: fX(x)={9xe−3x 0≤x<∞ 0…

A: Given,f(x)=9xe-3x ; 0≤x≤∞0 ; elsewhere

Q: Consider the random variable with a probability density function of f(x) =- 1 4 sxs6 x In (1.5)' and…

Q: Let X be physical distance, measured in inches, from its anchoring point where a bicycle spoke will…

A: Hello! As you have posted more than 3 sub parts, we are answering the first 3 sub-parts. In case…

Q: Suppose x is a random variable best described by a uniform probability that ranges from 1 to 6.…

Q: Let P(A) = r and P(B) = s with AN B= p. Then P(A\B) equals Select one: а. 1 b. 1-5 C. 0 d. r

A: NOTE: We’ll answer the first question since the exact one wasn’t specified. Please submit a new…

Q: ne probability density function of the random variable X is given by 3. æ) = a2, 0< <2 8 otherwise…

Q: Suppose X is a continuous random variable whose probability density functio xе¯¤ f(x) = { x≥0 x < 0…

Q: F(x)=0.25x+0.5 x < -2 -2≤x<2 25x Determine the probability that the random variable X is greater…

Q: Suppose X is a continuous random variable whose probability density function is f(x) = xe−x x ≥ 0…

A: The Probability Density Function(PDF) defines the probability function representing the density of a…

Q: * The probability density function of X random variable is given as; f(x) = {ex²,.. ...– 3<x< 3 0,…

Q: A distribution that has been used to model tolerance levels in bioassays is the logistic…

Q: x>0 f(x) = 8² elsewhere Find the value of c such that an interval from x to cx is a (1- a)100%…

Q: The reading given by a thermometer calibrated in ice water (actual temperature 0°C) is a random…

Q: A continuous random variable X has the probability density function f(x) = (4-x)/8, 0 ≤ x ≤ 4. Find…

A: The probability density function for a continuous random variable X is, fx=4-x8, 0≤x≤4

Q: Suppose x is a random variable best described by a uniform probability that ranges from 0 to 5.…

Q: probability density function of f(x)= (1/x ln(1.5)), 4<=x<=6 and f(x) = 0 elsewhere. What is the…

Q: The probability density function of X, the lifetime of a certain type of device (measured in…

A: The PDF of random variable X is given by:

Q: (a) The cumulative function Fx(x). (b) The median. (c) The mode.

A: Here AS PER POLICY I HAVE CALCULATED 3 SUBPART PLZ REPOST FOR REMAINING PARTS

Q: A continuous random variable X has the probability density function f(x) so that f(x) is 0 for…

Q: 1. Assume that X is a continuous random variable with cumula- tive distribution function (cdf) 0. if…

Q: The life expectancy (in years) for a particular brand of microwave oven is a continuous random…

A: Thanks for giving opportunity to serve for bartleby students, Hey, There ! Thank you for posting…

Q: Let X1, X2, and X3 be independent random variables from (-1, 1). Find the probability density…

A: Probability Density Function: Probability is deals with the random…

Q: f (x) = 0, %3D pendently selected, find the E

A: The number of sample is n=4. a. The probability of impurity weights exceeds 0.5 is,…

Q: for a <r <b (and zero elsewhere) such that f is a PDF of a continuous random variable with expecte…

Q: SE (3x2 – 12x + 13) 0 3. Determine the value of P(-3 <X<1). (Give your answer to 3 decimal places.)

Q: The continuous random variable X has a probability density function (pdf) given by [1- x for 0 ).…

A: Given the continuous random variable X with probability density function: f(x) = 1 - 12X for…

Q: Suppose that the continuous random variable X has cumulative distribution function given by F(x)=…

A: Given that, X is a continuous random variable. X has a cumulative distribution function Fx. Fx is…

Q: The probability density function of a discrete random variable X is given by the following table:…

Q: The probability density function of X, the lifetime of a certain type of device (measured in…

Q: The probability density function of a discrete random variable X is given by the following table:…

Q: A random variable X has a Pareto distribution if and only if its probability density is for a > 1…

Q: Let X be a random variable with probability density function a+ bx², 0<x<1 f(x) = | 0, otherwise If…

A: We have given that, Let X be a random variable with probability density function…

Question

Consider the probability density function for a random variable X, given by
for 0 < x < 5
10
f(x) = {x- TO
for 5 < x < 7.5
25
10
otherwise.
Find E(X), the expected value of X.

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

This is a popular solution!

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Step 3

VIEW

Trending now

This is a popular solution!

Step by step

Solved in 3 steps with 3 images

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

$Multivariate Distributions and Functions of Random Variables$

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, calculus and related others by exploring similar questions and additional content below.

Similar questions

Assume that the probability that an airplane engine will fail during a torture test is 12and that the aircraft in question has 4 engines. Construct a sample space for the torture test. Use S for survive and F for fail.
The shelf life (in hours) of a certain perishable pack-aged food is a random variable whose probability density function is given byf(x) =⎧⎪⎪⎨⎪⎪⎩20,000(x + 100)3 for x > 00 elsewhere Find the probabilities that one of these packages will havea shelf life of(a) at least 200 hours;(b) at most 100 hours;(c) anywhere from 80 to 120 hours.
The random variable x follows a uniform probability distribution in the interval (0,1); the probability of obtaining x values outside this range is zero. What is the probability distribution of y = ln x?
The probability density function of the continuous random variable X defined in the set of non-negative real numbers is given as f(x) = 2.exp(-2x). What is the expected value of X?
Let the probability function of the random variable X be defined as f(x)=1/(2(1+∣x∣)²). Draw the graph of the probability function. Calculate the probabilities P {-1 <X <2}, P {∣X∣> 1} and the expected value.
Since the probability function of the continuous random variable X that does not take negative values is f(x)= 1 / (1 + x)², calculate the probability P{X>3}. Find the expected value.
Let X be a continuous random variable with PDF 3 x > 1 x4 fx(x) = otherwise Find the mean and variance of x.
Consider the three functions I. f(x)= {1-x if 0 < x < 2 {0 otherwise II. f(x)= {1+x if 0 < x < 2 {0 otherwise III. f(x)= {(3/27)x^2) if 0< x < 3) {0 otherwise Which of these above functions can be probability distributions? And why?
Let x be a continuous random variable with PDF 2x 0 < x < 1 fx(æ) = { otherwise Find the expected value of x.
Let X be a random variable with pdf f(x) = kx*,-1
Let X1, X2, and X3 be independent random variables from (-1, 1). Find the probability density function and the expected value of the random variable [X(1) + X(2)]/2.
For the random variable X with the probability function below, answer the following questions. f(x)= { 3x^2 , 0<x<1 { 0, otherwise a. Find the cdf of X. b. Find the probability that X is less than 0.5. c. Find E(X).