Suppose a random variable X has a probability density function as shown in img1.jpg c. Find P(X <= 0.4 | X <= 0.8)Note: I already solve part A and the value of k is 6. kx(1 – x) 0sxs1f(x)%3Delsewhere a Find the value of k that makes this a probabil-ity density function.b Find P (0.4

Answered: Image /qna-images/answer/607209a0-d2de-4257-9020-9d79f49955f5.jpg

Answered: a Find the value of k that makes this a…

a Find the value of k that makes this a probabil- ity 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: A random variable X has the following probability mass function defined in tabular form as shown…

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

Q: Find the expected value of q. d. Let X1, X2,., Xn be i.i.d. Bernoulli(p). Suppose q =

A: Bernoulli Trail: In probability theory, a Bernoulli trial is a random experiment which has exactly…

Q: Suppose that P(A) = 0.26, P(B) = 0.65, and P(B|A) = 0.13. Find the probability that %3D both A and B…

Q: The following are common pdfs of the X,Y random variables. Find fX| Y (X|Y = y), conditional pdf…

Q: 2. For the random variable X with the probability function below, answer the following questions.…

A: The given pdf is as follows:

Q: find the values of p and q.

A: HERE GIVEN, discrete probability distribution of x and E(X) = 4

Q: and x = Find the value of K and find the probability between x = 3/2

Q: a. Find the mean of X. b. Compute E[(e)^2x].

A: Given, The expected value is given by

Q: A random variable, x, has p.d.f. f (x) given by f (x) = 1 а. always equals 1 b. 0 < x< 1 C. Not…

A: We know that, If a random variable x having probability density function f(x) by the property of…

Q: Suppose X and Y have the joint probability distribution given by the table shown below. Compute…

Q: 1.1.5 A die is 'fixed' so that each time it is rolled the score cannot be the same as the preceding…

A: solution:: ias per guidelines im solving 1st questions .. you are solution ion next step thank you…

Q: Let X ∼ U(a, b). Use the definition of the variance of a continuous random variable (Equation 2.38…

A: The mean of X is given by:

Q: A poll found that 35% of adults do not work at all while on summer vacation. In a random sample of…

A: According to the given information, we have Probability, p = 35% = 0.35 Sample size, n = 9

Q: Suppose x is a random variable best described by a uniform probability distribution with c= 15 and d…

A: Given: X is a random variable best described by Uniform probability distribution with c= 15 and…

Q: The unemployment rate in a city is 12%. If 6 people from the city are sampled at random, find the…

A: p(unemployed) = p = 0.12n = 6p(x≤2) = ?

Q: Suppose that c is a real number and U is a discrete random variable with E(U) = 0. Which of the…

A: Given that U is a discrete random variable with E(U)=0Let us assume that U=-1 , 1U=-1 occurs with…

Q: discrete random variable X has the following probability distribution. x 0 1 2 3 P(X=x) q 4p2 p…

A: The provided probability distribution is, x 0 1 2 3 P(X=x) q 4p2 p 0.7 - 4p2

Q: 1. Find the value of c to make f (x) = x = 2, 3, 4 into a valid probability distribution. Enter…

A: Given, f(x)=cx2x-1 x=2,3,4

Q: Which formula gives the probability distribution by the following random variable 3, 4, and 5 with…

Q: 0. Let X denote the number of hours you study during a randomly selected school day. The probability…

Q: Consider the following probability distribution where random variable X denotes the number of cups…

A: Given data is x 0 1 2 3 4 5 P(x) 0.35 0.40 0.16 0.02 0.02

Q: 6. Suppose X is a random variable with E(X) = 4 and Var(X) = 9. Let Y = 4X + 5. Compute E(Y) and…

A: In question, Given E(X) = 4 and Var(X)=9 Y=4X+5 Then we'll find the value of E(Y). The solution is…

Q: Chapters: Normal and Exponential random variables. Q: Let X be an exponential rv with = 1/4. a. What…

A: Solution

Q: Let X be a Poisson random variable with parameter λ. Show that the probability that X is even is…

A: Given that, X be a Poisson random variable with parameterλ. We need to show that the probability…

Q: If X is a binomial random variable, for what value ofθ is the probability b(x; n, θ ) a maximum?

A: The value of q is given below:

Q: (cv² Scu ,v = 1,2, 3, 4 Py(v) = , otherwise Find the value of the constant c. b. Find the…

Q: Suppose that X is a geometric random variable with parameter π. Show that P(X = n+k|X > n) = P(X =…

Q: 1. Let X1, X2, X3 be identically distributed independent exponential random variables and Y = X₁+ X2…

A: Given that X1, X2, and X3 are identically distributed independent exponential random variables…

Q: VERSION 1 Q. 1 Let X be the number of bugs in the first draft of a piece of software, and let Y be…

Q: The possible values of a random variable are 1 and 2. If its probability mass function has the form…

A: Given that, The possible values of a random variable are 1 and 2. If its probability mass function…

Q: If a random variable X is defined such that: E[(X – 2)*] = 18 and E[(X +1)*] = 33. Then the values…

Q: 1. Given the probability mass function of a discrete random variable X Scx2, if x = -1, 1, 2, 3, 0,…

A: Properties of probability mass function: Total probability should be 1. The probability values…

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: Suppose we randomly draw two integers from the range [1, n] with uniform probability. Define X to be…

A: E(|X-Y|) fx|y=1n2 E(Z) = ∑x=1n∑y=1nx-yn=∑x=1n ∑y=1n x-yn2+∑…

Q: 3. Let X and Y be i.i.d. standard normal random variables. Find E[X2 +Y²] and EVX² +Y².

Q: Suppose X and Y have the joint probability distribution given by the table shown below. Compute…

Q: Consider the following PMF function: P(X=x)=x/15 for x=1,2,3,4,5 What is the probability that X is…

Q: Let T be a random variable. If E(T) = a+b0, find an unbiased estimator of 0. Is the mean- squared…

Q: Suppose that a discrete random variable X has a distribution with the following probability (4cx,x =…

A: Suppose that a discrete random variable X has a distribution with the following probability…

Q: Suppose that the random variables Y and X only take the values 0 and 1, and have the following joint…

Question

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

c. Find P(X <= 0.4 | X <= 0.8)

Note: I already solve part A and the value of k is 6.

a Find the value of k that makes this a probabil-
ity 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

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

Trending now

This is a popular solution!

Step by step

Solved in 2 steps with 3 images

SEE SOLUTION Check out a sample Q&A here

Similar questions

Suppose that Y is an exponential random variable with λ = 4. Find. P[Y > (E(Y) + 2√√Var(Y))] . (round to 4 decimal points)
Solve the below problem. Table 1 contains the probabilities associated with each possible pair of values for Y, and Y, and is known as the joint probability function for Y,and Y2 Table: Probability function for Y, and Y, Yı_ y2 0 1 2 0 1/9 2/9 1/9 2/9 2/9 0 1 | 2 1/9 0 Find F (1, –2) and F(3,3).
2. A random variable X has a probability mass function given by: 1 0.2 a. Determine P(x) = 2 b.Find P(X<2) c. Find P(X≥ 3) X P(x) 0 0.1 2 ? 3 0.4
Solve the following 1. If the joint probability distribution of X and Yis given by x+y f(x, y) for x = 0,2,3; y = 0,1,2 30 Find
Chapters: Normal and Exponential random variables. Q: Let X be an exponential random variable with rate 1. If a and b are positive numbers, then P(X > a + b|X > b) = P(X > a). a. Explain why this is called the memoryless property b. Show that for an exponential rv X with rate 1, P(X > a) = e-ad.
4. Find the mean of the discrete random variable X with the following probability distribution. Use this formula. μ -ΣΙΧ . P (X)] P(x) х. Р(х) x2 x² . P(x) X 14 1 /½ 5. Referring to the table above, solve for the variance and standard deviation. Use this formula. o² = E[x2 . P(X)1 – µ? E[x² - P(X)] – µ² | O =
The random variable V has a PMF of PV(v) of c(1/2)n when n = 0, 1, 2, 3 and it is 0 otherwise. Set up the required equations in order to formulate your solution to theproblem. Solve for the value of c. What is the probability that N is greater than 2?
Suppose that X1, X2, ..., Xn is a random sample with a probability law P(x) = {0x, 0 Where 8 is an unknown parameter. si x = 1,2,3, 4; otherwise A. Get an estimator of 0 by the method of the moments. B. Prove that the estimator is unbiased.
Given that f(x, y) = (2x+2y)/2k if x = 0,1 and y = 1,4, is a joint probability distribution function for the random variables X and Y. Find: The value of K
Benford's Law claims that numbers chosen from very large data files tend to have "1" as the first nonzero digit disproportionately often. In fact, research has shown that if you randomly draw a number from a very large data file, the probability of getting a number with "1" as the leading digit is about 0.301. Suppose you are an auditor for a very large corporation. The revenue report involves millions of numbers in a large computer file. Let us say you took a random sample of n = 250 numerical entries from the file and r = 60 of the entries had a first nonzero digit of 1. Let p represent the population proportion of all numbers in the corporate file that have a first nonzero digit of 1. Test the claim that p is less than 0.301 by using α = 0.01. What does the area of the sampling distribution corresponding to your P-value look like? a. The area in the right tail of the standard normal curve. b. The area not including the right tail of the standard normal curve.…
At a “busy time," a telephone exchange is very near capacity, so callers have difficulty placing their calls. It may be of interest to know the number of attempts necessary in order to make a connection. Suppose that we let p = 0.05 be the probability of connection during a busy time. We are interested in knowing the probability that 5 attempts are necessary for a successful call. Determine the correct parameter. O a.r= 0, x = 5 O b. NONE O C.r= 0, n = 5 d.r = 1, x = 5