**Problem:**A random variable \( X \) has the probability density function (pdf):\[ f(x) = -\frac{3}{40}x + \frac{1}{5}, \quad 3 \leq x \leq 5. \]Find the expected value of \( X \). Express your answer as a fraction.**Options:**- a) \( \frac{81}{20} \)- b) \( \frac{31}{12} \)- c) \( \frac{33}{8} \)- d) something else

The random variable has probability density function:

Answered: A random variable X has pdf: f(x)=x+1,…

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...

See similar textbooks

Similar questions

A class contains 40 students. The probability of failing in one of the courses for each student is 0.03, but there is no chance to fail in more than one course. You know that a student failed in a course, the probability that the fail reason in non-attendance is 0.04. All other fail reasons are low average. The examinations are private, so the results are mutually independent. Let X and Y be the numbers of failed students due to non-attendance and due to low average, respectively, in that class this semester. Find the joint MGF
Three components are randomly sampled, one at a time, from a large lot. As each component is selected, it is tested. If it passes the test, a success (S) occurs; if it fails the test, a failure (F) occurs. Assume that 82.0% of the components in the lot will succeed in passing the test. Let X represent the number of successes among the three sampled components. Find P(X= 3). (Round the final answer to three decimal places.)
Show your complete solution.
An unfair coin is such that on any given toss, the probability of getting heads is 0.6 and the probability of getting tails is 0.4. The coin is tossed 8 times. Let the random variable X be the number of times heads is tossed. Find P(X=5)= Find P(X≥3)=
Let X be the binomial random variable B(10,0.6). Find E(X2). O A. 36 O B. 2.4 С. 38.4 O D. -33.6 E. 8.4
Plz answer the question in 10 minutes plzzz and get thumb up plzzzz
It is known that in a certain town 30% of the people own an Kpfone. A researcher asks people at random whether they own an Kpfone. The random variable X represents the number of people asked up to and including the first person who owns an Kpfone. Determine that P(X <6).
In a random experiment if a coin is tossed three times or three coins are tossed one time, if random variable X is the number of appearances of Tails, the value of E(X), will be; Select one: O a. None O b. 3.5 O c. 2.5 O d. 1.5
In a box containing 8 red balls, 8 green balls and 8 blue balls where 3 balls will be drawn in random with replacement, let G be the random variable representing the number of green balls chosen. What is f(0)? a. 4/9 b. 8/27 c. 1/27 d. 0
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).

Recommended textbooks for you

A First Course in Probability (10th Edition)

Probability

ISBN:

9780134753119

Author:

Sheldon Ross

Publisher:

PEARSON

A First Course in Probability

Probability

ISBN:

9780321794772

Author:

Sheldon Ross

Publisher:

PEARSON

A First Course in Probability (10th Edition)

Probability

ISBN:

9780134753119

Author:

Sheldon Ross

Publisher:

PEARSON

A First Course in Probability

Probability

ISBN:

9780321794772

Author:

Sheldon Ross

Publisher:

PEARSON

SEE MORE TEXTBOOKS

A random variable X has pdf: f(x)=x+1, 3≤x≤5. Find the expected value of X. Express your answer as a fraction. O 81/20 O 31/12 O 33/8 O something else