Q1 al The probability distribution of X, the number of imperfections per 10 meters of a synthetic fabric in continuous rolls of uniform width, is given by 1 2 3 4 0.41 0.37 0.16 0.05 0.01 Construct the cumulative distribution function of X.

Q: Assume that the amount of time until a kid gets bored and wants to leave a playground can be modeled…

A: If X follows an exponential distribution where the PDF is given by; fX(x)=1θe-xθ, 0<x<∞0,…

Q: For the continuous probability function f(x) = 2kx² e¬* when x > 0 a. value of k %3D b. mean

A: Integration of continuous random variable is 1.

Q: Lenovo produces laptop that last on average by 5 years. The life span of each laptop follows an…

A: I solved exactly first three subparts because of bartleby policy if you want more please uplode…

Q: Y 1 2 4 8. 16 |P(y) 0.05 0.10 0.35 0.40 0.10 Construct the cumulative distribution function.

A:

Q: Let X=c with probability 1. Plot the PDF (probability distribution function) of X.    Please show…

A: Graph might be similar to discrete uniform probability distribution.

Q: Consider the probability mass function below: x2 – 1 f(x) = ; x = 1,2,3,4 or 5 k ; otherwise a.…

A:

Q: 2. The time Xit takes Professor Sawyer to drive to campus on a randomly selected day follows a…

A: Introduction: The random variable X denotes the time taken by the professor to drive to campus on a…

Q: Suppose that the weight of an newborn fawn is Uniformly distributed between 2.3 and 3.6 kg. Suppose…

A: b) standard deviation of uniform distribution =(b-a)^2 /12 b= 3.6 a=2.3  =1.69/40 = 0.140

Q: Find P(X ≤ µ) where µ = E(X) is the average number of visits.

A: