Let X be a discrete random variable with the following cumulative distribution function (cdf), F (x): F (x) = 0 x < 0 0.30 0 < x < 1 0.65 1< x < 2 0.85 2 < x < 3 0.90 3 < x < 4 1 x > 4 Find p (3). Type your answer...

Q: satisfies F(-1) = 0.25, F(0) = 0.33, F(0.8) = 0.72, F(3.2) = 0.72, F(9.9) = 1. Find the value of…

A: We have given that the F(x) is a cumulative distribution function of a random variable X with…

Q: Let F(x) be the cumulative distribution function (cdf) of a random variable X. Which of the…

A: P(a&lt;X&lt;b) = F(b) - F(a) F(a) + P(a&lt;X&lt;b) = F(b)

Q: A random variable X has a p.d.f. f(x) given by S(x) = {^e²) x>0 otherwise ke-3x a. Find the constant…

A: Given,f(x)={ke-3x; x&gt;00; otherwise

Q: The pdf of a random variable X is given by: 1 3 f(x) = + for 0 ≤æ≤2 8 8x Please find P(1 ≤ x ≤ 1.5).…

A: Use the given information.

Q: Determine the value c so that each of the following functions can serve as a probability…

A: a) It is needed to find the value of c.

Q: Let Y be a continuous random variable having the standard beta distribution with parameters a = 3…

A:

Q: Fy be the cumulative di Fx (1) = 0 %3D F, (1) - F, (0) = D %3D Fx %3D 2

A: x p(x) F(X) -2 0.21 0.21 -1 0.28 0.49 0 0.2 0.69 1 0.15 0.84 2 0.16 1

Q: The random variable X has a pdf f(x) = 5x 0≤x≤0.6325. Find P(X≤ 0.4) 0.333 0.632 0.486 O 0.413 0.400…

A: pdf of x : f(x) = 5x  ; 0≤x≤0.6325   we have to find P(x≤0.4) = ?

Q: Let X be the triangular distributed random variable with the PDF given by: Use the direct (or exact)…

A: To generate random variables from the given triangular distribution using the inverse transform…

Q: The values of x and their probabilities are listed below.  Calculate the intermediate products to…

A: Given that: x P(x) x * p(x) 32 0.07 2.24 34 0.12 4.08 36 0.24 8.64 38 0.25 9.50 40 0.35…

Q: et X be a discrete random variable with P(X = -2) = .1, P(X = 1) = .15, P(X = 2) = .4, P(X = 4) =…

A:

Q: X is a discrete random variable with p.m.f given by P(X=x)= x/c where c is a constant. The support…

A:

Q: A random variable X has the cumulative distribution function. Calculate the Expected Value of X…

A: Answer: - Given, the CDF of X is                 F(x)   x2-2x+221≤x&lt;21x≥2                    Find…

Q: The probability distribution of a discrete random variable X is given below: Value x of X P(X=x) -1…

A: Given: Let X be a random variable. The probability distribution of the random variable X is provided…

Q: The continuous random variable X has cumulative distribution function a. Find the PDF, fX(x)  b.…

A: Here we have given the cumulative distribution function of continuous random variable X.   We have…

Q: Let X represent the time it takes from when someone enters the line for a roller coaster until they…

A: In this case, (x–3)/1.18= (x–a)/(b-a)=F(x).Therefore, the cumulative distribution function…

Q: The expected value, E(X), of a uniform random variable X defined over the interval a<x< b, is а. а…

A:

Q: Let X be a discrete random variable with P(X = -1) = .3, P(X = 1) = .45, P(X = 2) = .15 and P(X = 6)…

A: The following information has been given: We have given that X is a discrete random variable.  P(X =…

Q: The distribution function of the random variable X isgiven byF(x) = 1 − (1 + x)e−x for x &gt; 00 for…

A: The required probabilities are as follows: