Let X be a continuous random variable with pdf ƒ(x) = x² for −1 < x < c. Find thevalue of c.(a) 2¹/3(b) 23(c)23(d) 2(e) None of the above

Answered: Let X be a continuous random variable…

Math

Probability

Let X be a continuous random variable with pdf f(x) = x² for -1 < x < c. Find the value of c.

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

Related questions

Q: Find the equation of the normal line of f(x) = x⁴ + 2x at x = 1 using the limits definition.

Q: Let X = b(8,) find E(5+6x) and distribution function.

A: 3) From the given information, X≈b(8, 14) E(X)=8*14=2 Consider, E5+6x=5+6E(X)…

Q: C1. Let X be a continuous random variable with PDF f(x) = (2-x) for -1 ≤x≤c and f(x) = 0 otherwise.…

A: Note: According to Bartleby guidelines expert solve only one question and maximum three subpart of…

Q: Flight bookings on the Orbitz travel site fluctuate throughout the year. In the month of December,…

A: If the intercept for the above data is 1.82 and the slope is 0.41

Q: A continuous random variable X has probability distribution function f(x) , where f(x) = k(1 − x2)…

A: The k value is calculated as follows:

Q: A random variable X has a pdf f(x) = { kex, x<0 0 , otherwise } Determine the…

A: K=? V(X)=?

Q: Pfizer claims that their COVID-19 vaccine is 95% effective. Suppose that in a clinical trial test,…

Q: Let X be a random variable with pdf f(x) = kx*,-1 <x< 1. Find E (X).

Q: Let S = (1,2,3,4,5,6,7,8,9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20). One number is to be…

A: Hi! Thank you for the question, As per the honor code, we are allowed to answer one question at a…

Q: Let X be a continuous random variable with PDF 2x 0 < x < 1 fx(x) = {0 otherwise Find the expected…

Q: Let X be a continuous random variable whose moment generating function is 4x(t) = (³.) ³. Find Var…

Q: normal pdf.

A: For a normal distribution with parameters μ &σ the pdf is given by:

Q: Let X be a continuous random variable with a pdf f(x) = { kx5 0≤x≤1, 0…

Q: The random variables X,Y have variance Var(X)=36 and Var(Y)=1 and their correlation is Cor(X,Y)=−34.…

A: Formula used Var ( X+Y) = Var(X)+Var(Y)+2Cov(X,Y)

Q: Q2\\ let X be a continuous random variable with pdf: 0 <x <1 1 < x < 2 Sa(x) = {} otherwise Find the…

Q: Let X =U(4) find Var(3x) and distribution function.

A: Uniform Distribution: It is the continuous distribution between a particular range (a and b) and the…

Q: a. Find a sufficient statistic for 0. b. Is your statistic in (a) also complete? Show/justify.

Q: Let the pdf of X be f(x)=3x^2, 0<x<1. Find the probability that X is greater than 0.3.

Q: Suppose X = 1/(1+Y), where 12 Y ~ fy(y) = y > 0, %3D 0, Identify the distribution of X by name and…

A: It is an important part of statistics . It is widely used .

Q: Q. Determine the level of measurement: Temperature in Fahrenheit of students sent to nurses office.

A: In the case of an interval scale, the difference between each of the two consecutive numbers is…

Q: Let m(t) =(1/6)e^t+(2/6)e^2t+(3/6)e^3t Find E(y) Find V(y) Find the distribution of y

Q: Let X and Y have the joint pdf f(x,y)= x+y , 0<=x<=1, 0<=y<=1. Find the marginal fx(x) and…

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

Q: The random variable X has PDF given by 1 f(x)=√e-2/4 -1/4 for x > 0, zero otherwise. Compute P(X> 5)…

Q: 2. Suppose that a continuous random variable X has PDF f(x) = }7 (1 – x²) -1<x<1 else

Q: Let x~ exp (A) Show that T=s Xi is sufficiency Statistic.

A: Generally we use factorization theorem to obtain the sufficient statistic.

Q: Let x be a continuous random variable with PDF 3 x > 1 x4 fx (x) otherwise Find the mean and…

A: Given PDF is fX(x) = 3x4,x ≥ 10,otherwise

Q: 7) For the continuous probability distribution f(x) = kx³e-* Where x 20, find mean.

Q: The pdf is given as follows: f(x) = { (1/6)e^(1/6x) ; x > 0 0; ew] (i) Find the mean and variance…

A: The pdf is given as follows:f(x) = { (1/6)e^(1/6x) ; x > 0

Q: Let X denote the proportion of allotted time that a randomly selected student spends working on a…

Q: Let X a b(4,) find Var(3x) and distribution function.

Q: x-1 8 A. Find the probability that X lies between 2 and 4. Probability = f(x) = B. Find the…

A: It is given that the density function of X is f(x)=x−18,1≤x≤5

Q: a. What is the probability that the demand for gasoline in a given week is more than 500 gallons? b.…

Q: Let X - U[0, 1]. Find the distribution of Y = 1 - X.

Q: Let X be a continuous random variable with PDF 2e*,0 3).

Q: Find the mean and standard deviation for each uniform continuous model U(1, 13) U(70, 200) U(3, 92)

A: Obtain the mean and standard deviation for the uniform continuous model U(1,13). Obtain the mean of…

Q: Suppose that X is a continuous random variable whose pdf satis fx(a) = 0 for all a 2. Prove that…

A: From the given information, the random variable X is a continuous random variable whose pdf…

Q: A random variable has a PDF f(x) = i) The value of C. ii) P (X> 2). C √√25-x² -5<x< 5. Find

Q: Let X be a random variable with pdf: f(x)= k(10 - 2x) for x being [0,5] a.) Find k b.) Find E(X)…

A: GIVEN DATA : X is the random variable with probability density function fx=k10-2x in the interval of…

Question

Let X be a continuous random variable with pdf ƒ(x) = x² for −1 < x < c. Find the
value of c.
(a) 2¹/3
(b) 23
(c)
23
(d) 2
(e) None of the above

Expert Solution

Step 1: Write the given information.

From the given information, the pdf of the random variable X is,

$f open parentheses x close parentheses equals x squared comma space minus 1 less than x less than c$

Step by step

Solved in 3 steps with 4 images

SEE SOLUTION Check out a sample Q&A here

Similar questions

Let X be a random variable with discrete pdf f(x) = x/8 if x = 1, 2, 5, and zero otherwise. Find: (a) E(X).
Let X₁, X₂ be IID with \Exp(1), the standard exponential distribution. Show that Z = X₁/X₂ has an F-distribution. Determine the degrees of freedom of this F- distribution.
Find the maximum likelihood estimator for θ in the pdf f(y; θ) = 2y/(1 − θ^2), θ ≤ y ≤ 1.
2. Let X be a continuous random variable with probability density function (pdf) 3x�� 0
Let X denote the proportion of allotted time that a randomly selected student spends working on a certain aptitude test. Suppose the pdf of Xis F(x; 6) = 0 otherwise where -1 <0. A random sample of ten students yields data x₁ = 0.65, x₂ = 0.92, x₁=0.86, x40.94, X-0.95, x=0.73, x=0.90, X-0.49, x 0.79, *10= 0.79. (a) Use the method of moments to obtain an estimator of 1 O 0 (x-1)-2 0 (x-1)-1 O 0 (1+)-1 -2 Compute the estimate for this data. (Round your answer to two decimal places.) (b) Obtain the maximum likelihood estimator of 0. Lin(X)) n Zn(x)) -n -n Din(x) n in(X) ΣΟΧ) 1
Let X be the random variable having pdf f(x) = 1,0 < x < 1, zero e.w. Compute the probability of the range of the random sample of size 4 (X1, ., X4) is less than 1/2. Hint: Range is R = X(4) – X(1).
Find the values of constants 'a' and b' such that Fy (x) = [1-a·e */b] u(x) is a valid distribution function. u(x) is a unit step function.
Let X be the lifetime (measured in hours) of an electronic device. suppose thatX let X be a continuous random variable with pdf f(x) = k/x^n, 2000 ≤ x ≤ 10000(a) For n in general, find k. (1.5)(b) What is the probability that the device fails before 5000 hours have passed? Compare the results
2. Let f(x) = 3x(x² − 1) (x³ + 2x + 3) (a) Use distribution to expand the function. (b) Use the rules in from the table above to differentiate the function.
Let X have the Pareto distribution with parameter a > 0. The Pareto PDF isfX (x) = a/x^a+1 if x ≥ 1 0 otherwise.(a) Find all medians of X.(b) Find all modes of X.
Its x-12.5 not expone
Obtain regression curve of Y on X for the following distribution: y y ƒ(x, y) = (1 + 6 exp(- / +)* x)² 1 x ; x, y 20