Suppose a random variable X has a probability density function as shown in img1.jpg. a) Find the value of k that makes this a probability density function b) Find P(0.4 ≤ X ≤ 1). c) Find P(X ≤ 0.4 | X ≤ 0.8) d) Find F(b) = P(X ≤ b) and sketch the graph of this function.

Suppose a random variable X has a probability density function as shown in img1.jpg. a) Find the value of k that makes this a probability density function b) Find P(0.4 ≤ X ≤ 1). c) Find P(X ≤ 0.4 | X ≤ 0.8) d) Find F(b) = P(X ≤ b) and sketch the graph of this function.

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

See similar textbooks

Related questions

Q: Find the probability distribution of X|Y = 0, and E [X|Y = 0] . b. Find E[Y] and E[X]. c. Find the…

A: X\Y 0 1 2 0 212 112 512 1 112 112 212

Q: A random variable X has the following probability mass function defined in tabular form as shown…

A: x-112P(X=x)2c3c4c

Q: A) calculate the probabilty density function of the random variable x and draw this function…

A: Let X be a random variable. That has the cumulative distribution function FXx=1-e-x-abx>a0x≤a.…

Q: Let Z be a continuous uniform random variable with E[Z] = 0. 10. Fill in the blanks Find the value…

Q: Most computer languages include a function that can be used to generate random numbers. In Excel,…

Q: Let U(W) = In W be a Von Neumann- Morgenstern utility function, where W is the level of Wealth. Let…

A: The loss of 500 is with probability of 0.25 and the insurance costs 250 Hence the expected value…

Q: In a certain community, levels of air pollution may exceed federal standards for ozone or for…

A: The objective of the question is to find the conditional probability mass function of p_Y|X(y|0).…

Q: The waiting time X in minutes for an order at Burger King has exponential distribution with…

Q: The probability density function for the continuous random variable X is given by: (A(x² – 2x + 21)…

A: We want to find E(X), V(X) and E(X+2)2

Q: Consider the probability distribution function of a random variable Y, f(y)=cy2; 0<y<2 a) Compute…

A: Hey, since there are multiple subparts posted, we will answer first three subparts. If you want any…

Q: fx(x): (Cx(1-x), 00

A: The probability density function is given; f(x)=Cx(1-x) 0≤x≤10 elsewhere

Q: Let f(x) be the probability function of the geo(p) distribution. Prove that: a) f(x) is indeed a…

A: Given that fx be the probability function of the geop distribution.

Q: B- Show that if the following function be probability function: for 0<x< f(x) = -² 124 0 0. W

A: Explanation of the answer is as follows

Q: d) What is the expected value of X (E(X))? e) What is the expected value of X - 1? f) What is the…

Q: Solve the following questions: 1) Let X & Y have the joint probability function f(x, y) = k(1-xy),…

Q: Let (Y₁,..., YK) be multinomially distributed with parameters n and p₁,..., PK. Let ₁,...,UK E No…

A: Y,Y2,...,YK is multinomially distributed with parameters n and p1,p2,...,pK. y1,...,yK∈ℕ0 with…

Q: 2. An coin is tossed repeatedly, where heads appear with probability p- - Let X be the number of…

A: A coin is tossed repeatedly, where heads appear with probability p Let X be the number of tosses…

Q: Suppose that g is an easy probability density function to generate from, and h is a non- negative…

A: Given g is an easy probability density function to generate from and h is an non-negative function.

Q: What do the functions Y LY, Y look like? Are there any maximum or minimum probability at any…

A: By the functions Y1,1 , Y1,0 , Y1,-1. Y1,1=-38πsinθeiφ The probability density is:…

Q: A person has the right to take the driver's license exam 6 times. The probability of passing any…

A: Solution: Let X be the number of exams the persons took and n be the number of times a person has…

Q: Exercise 5.1 Because all airline passengers do not show up for their reserved seat, an airline sells…

A: Part (1) Let X be a random variable denoting the number of passengers who show up for the flight.…

Q: i. ii. iii. the value of k; the cumulative distribution function of X; P(X <3). P(X<3).

A: Given that Probability mass function of X is P(X = x) = kx2 , for x = 1 , 2 , 3 , 4

Q: In a certain community, levels of air pollution may exceed federal standards for ozone or for…

A: ANSWER IS GIVEN BELOWExplanation:

Q: eu = for 0 < x. Determine The probability density function of the time you arrive at a terminal (in…

A: See the below solution

Q: B) Suppose two dice are tossed. Let X be the sum of the dots on the top faces of the two dice. Find…

A: The problem can be solved using the concept of expectation and PMF.

Q: 61. Find a fixed probability vector for 0 0 0 1 1/2 0 0 0 0 0 1/2 1/3 2/3 0 1 0

A: To find a fixed probability vector for a given matrix, we need to find a vector v such that v is a…

Q: Most computer languages have a function that can be used to generate random numbers. In Microsoft's…

A: The continuous random variable x defines the generated random number.

Q: Paul applies to sell souvenirs at a sporting event. He may be assigned to any of sections A through…

Q: In a certain community, levels of air pollution may exceed federal standards for ozone or for…

A: The objective of the question is to find the probabilities of different scenarios related to the…

Q: Part f) Finally, use the Central Limit Theorem to find an approximation for the probability P(23 Do…

A: Step 1: We need to apply the Central Limit Theorem to find the exact answer for the probability…

Q: In a batch of 23 pedometers, 3 are believed to be defective. A quality-control engineer randomly…

Q: In a certain community, levels of air pollution may exceed federal standards for ozone or for…

A: Let X an Y be the random variables and the joint probability mass function is given asx…

Q: 12. The continuous random variable X has probability density function S2xe, >0 fx(x) = 0, %3D…

Q: In a certain community, levels of air pollution may exceed federal standards for ozone or for…

A: The objective of the question is to find the conditional probability mass function pX|Y(x|1), the…

Q: 1. The number of gallons of ice cream ordered at JJ Ice Cream on a hot summer day has the following…

A: Note : As per the guidelines, we are allowed to answer first three subparts at a time. Kindly…

Q: please show step by step explanation. Thank you.

A: The formula of distribution function F(X) is,

Q: A survey shows the following results: n = 50 where 32 subjects have a Facebook account, 20 subjects…

A: Obtain the probability of no Facebook. The probability of no Facebook is obtained below as…

Q: i) Use an appropriate method to show that W = is a pivotal quantity. ii) Construct a 90% upper…

A: A quantity is said to be pivotal quantity if it's distribution is free from parameter of interest.

Q: 1)find c 2)Try to find the cumulative probability function of X 3)find the mean, median,mode and…

A: The probability distribution function is given as: f(x) = cx for x=1,3,5,7 =0…

Q: If the random variable Y has the pdf pictured below: 2 w mat a) Find pdf of X? b) Find CDF of X? c)…

Q: Question 34. Let X be a random variable with probability density function x € [0, 3], f(x) = 0,…

A: Given :- fx = 19x2 , x∈0 ,30…

Question

Suppose a random variable X has a probability density function as shown in img1.jpg.

a) Find the value of k that makes this a probability density function

b) Find P(0.4 ≤ X ≤ 1).

c) Find P(X ≤ 0.4 | X ≤ 0.8)

d) Find F(b) = P(X ≤ b) and sketch the graph of this function.

Expression, rule, or law that gives the relationship between an independent variable and dependent variable. Some important types of functions are injective function, surjective function, polynomial function, and inverse function.

Expert Solution

Step 1

Step by step

Solved in 2 steps with 2 images

SEE SOLUTION Check out a sample Q&A here

Similar questions

Exercise 5.19 Let F (x) = c du for x e R. For what value of c is F a distribution function?
Prove the theorem
Question 34. Let X be a random variable with probability density function Sžr², re (0,3), f(r) = else. Which of the following statements are correct? I a) The expected value of X is . b) The probability of X < 1 is . c) The probability of X € [0,0.5] is . d) The probability of X = 1 is zero.
a. Explain the difference between the method of moment generating function and the method of incarnation to find the probability density function of a random variable b. Let X1, X2, X3 ,,,,, each of them has Poisson distribution with parameter lamda 1, lamda2, lamda3,........ i. Get the probability distribution of Y=X1+X2+....Xn ii. Get the mean and variance of Y c. Y1 and Y2 be a joint probability function as shown below in the screenshot imageU=Y1/(Y1+Y2), Using the method of incarnation (Jacobian), find the probability density function of U
SOLVE THE GIVEN QUESTION IN THE ATTACHED PIC.
If the random variable Y has the pdf pictured below: a) Find pdf of X? b) Find CDF of X? c) Find P(0
Determine, a) First two moments about the origin. b) The second moment about the mean.
ymbol) message X asuming that the symbols ICAIE oy P Qi b) Telegraph system has two symbols (dot, dash), assume time of the dot symbol equal 0.2 sec and the time of dash symbol equal 0.4 sec, Probabilities are P(dot)-2/3 and P(dash)-1/3.Calculate Hass D g1 Entropy rate? (2:245
b) A random variable Xhas probability density function. [Cx(1-x), 0≤x≤1 fx(x) = 3 in) Find [x²] 2 i) Find C. ii) Find P CS Scanned with CamScanner 076, elsewhere
Suppose that the distribution function of X is given by: (0, b<0 b Osb<1 1 b F(b) =- D=1, Isb<2 2 11 2sb<3 12 b23 1. Determine its corresponding probability mass function. 3 2. Find