The probability distribution for the random variable x follows. f(x) 20 0.25 25 0.20 30 0.20 35 0.35 (a) Is this probability distribution valid? Explain. Since f(x) 20 for all values of x and f(x) = 1 (b) What is the probability that x = 30? (c) What is the probability that x is less than or equal to 25? (d) What is the probability that x is greater than 30? this is a proper probability distribution.

Q: What value for P(4) will make this probability distribution valid? P(X) 0.1 0.25 0.52 0.26

A: We want to find value of P(4)

Q: Use the probability distribution for the random variable x to answer the question. Find p(4). 0 p(x)…

A: Given that  Probability mass function of X is given in the question  Find p(4)

Q: A random variable X has the probability function as given in the table to the right.  It is easy to…

A: A random variable X has the probability function is X P(X) 3 0.2 5 0.6 7 0.2

Q: The daily amount of coffee, in liters, dispensed by a machine located in an airport lobby is a…

A: The PDF of uniform distribution is given as follows :Given that  X denotes the daily amount of…

Q: Part D. Does the function f(r) = ()p" for a = 1,2 describe a finite probability distribution on the…

A: We have been given the function f(x) as follows, We need to check whether the function f(x)…

Q: The time (in minutes) until the next bus departs a major bus depot follows a distribution with f(x)…

A: The probability density function (PDF) of the uniformly distributed random variable with parameters…

Q: The plot to the right shows the probability function of a random variable Z. Estimate the needed…

A: For the given plot Find P ( z >=3 or z =-1 ) = ? P ( z >=3 ) +P(  z =-1 ) = P( z = 3 ) + P( Z…

Q: Determine the required value of the missing probability to make the distribution a discrete…

A:

Q: First pic:According to Chai's theorem, P(1X-uaS 1.8 ox)2 >=0.691 can be obtained, which is an…

A: The probability distribution of the data is, Fx=cx                , x=1, 3, 5, 70               ,…

Q: What is the probability that a randomly selected American adult has never been tested? Show work.…

A: From the given information, N(NT)=134,767 and N(T)=77,789.

Q: In a school sports day, each student is required to join at least one event. The following table…

A:

Q: An investor has six stocks that she follows each day. The random variable being studied is X, the…

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

Q: f n = 5 and p = 0.40, what is the probability that: (a) X = 4?                            (b) X ≤…

A: Let X be the random variable from binomial distribution with probability (p) = 0.40 and sample size…

Q: The probability distribution for the discrete random variable X is described by the table shown…

A: Given that  Probability mass function of X is  x -2 -1 0 1 2 4 P(x) 0.10 0.10 0.30 ? 0.05 0.05

Q: The number x of people entering the intensive care unit at a particular hospital on any one day has…

A: a) Suppose a random variable X defines the number of people entering the intensive care unit at a…

Q: (1 point) Suppose that 43% of households in a city have children. You take a random sample of 20…

A: This is a binomial distribution since it satisfies the following conditions:Fixed number of trials:…

Q: (a) What is the value of k? (b) Find E(X) and o (X). (c) Suppose the number of events students take…

A:

Q: x+y Suppose the joint probability distribution of X and Y is given by f(x,y) = , for x=2, 3, 4, 5; y…

A: Step 1:Given probability density function,f(x,y)=90x+y​Step…

Q: The probability distribution for the random variable x follows. x f(x) 20 0.25 25 0.20 30 0.20 35…

A: x P9x) 20 0.25 25 0.20 30 0.20 35 0.35

Q: The probability distribution of number of televisions per household in a small town x 0 1 2 3…

A: