Consider a variable x that describes the number of under-inflated tire on a four-wheel automobile. The...
please show your work. thanks! Question 2. Consider a variable x that describes the number of under-inflated tire on a four-wheel automobile. The mass function is given by: p(0) 0.4, p(1) p(2) p(3) 0.1; p(4) 0.3 a) Verify that this is a proper mass function. b) Determine the expected value and the variance of this distribution. mean value?
The probability distribution of X, the number of under-inflated tires on a randomly selected automobile checked at a particular inspection station is given below. X 0 1 2 3 4 Prob 0.54 0.16 0.06 0.04 0.20 A) What is the probability that more than 2 tires are under-inflated?
1. Let X the number of tires on a randomly selected automobile that are un- derinflated. a). Which of the following three functions, p, f, and g, is a legitimate p.m.f for X, and why are the other two not allowed? p(x) 0.3 0.2 0.1 0.05 0.05 f(x) 0.4 0.1 0.1 0.1 0.3 g(x) 0.4 0.1 0.2 0.1 0.3
Statistics - Please help! Thanks. 5. Let X be the random variable that describes the measurements of the diameter of Venus. We know that X is normally distributed with mean u = 7848 miles and standard deviation o = 310 miles. What is (a) P(x < 7000) (b) P(8000< x < 8100) (c) Verify your answers using R. 6. Assume the life of a roller bearing follows a Weibull distribution with parameters ß = 2 and 8 = 7,500 hours....
The number of flaws x on an electroplated automobile grill is known to have the following probability mass function: p(0) = 0.6; p(1) = 0.2; p(2) = 0.1; p(3) = 0.1 a) Is this random variable continuous or discrete? Justify your answer. b) Verify that this is a proper mass function c) What is the probability that a randomly selected grill has fewer than 2 flaws? Calculate the probability, and use proper probability notation. d) What is the probability that...
Will rate!! Some parts of California are particularly earthquake prone. Suppose that in one metropolitan area, the chance a homeowner is insured against an earthquake is 0.30, A sample of four homeowners are to be selected at random. Suppose X is a random variable that is modeled by a binomial distribution which describes the number of homeowners out of the four that have earthquake insurance. (a) Find the probability mass function of X. (Round your answers to four decimal places.)...
Discrete Random Variable. The random variable x has the discrete probability distribution shown here: x -2 -1 0 1 2 p(x) 0.1 0.15 0.4 0.3 0.05 Find P(-1<=x<=1) Find P(x<2) Find the expected value (mean) of this discrete random variable. Find the variance of this discrete random variable
Question Completion Status: QUESTION 40 х The number of ships, x, to arrive at a harbor on any given day has the following probability distribution. To verify the distribution of x is a valid discrete probability distribution you must show which of the following? 10 11 12 13 14 P(x) 0.4 0.2 0.1 0.1 The outcomes for x are countable which implies they are specific points on the real number line Os P(x) s 1, for all x o P(x)...
5 Consider a discrete random variable X with the probability mass function rp(x) Consider Y = g( X ) =- 0.2 0.4 0.3 0.1 a) Find the probability distribution of Y. b Find the expected value of Y, E(Y). Does μ Y equal to g(Hy )? 4
5.Consider a discrete random variable X with the probability mass function xp(x) Consider Y-g(X) 0.2 0.4 0.3 0.1 a)Find the probability distribution of Y b) Find the expected value of Y, E(Y) Does μ Y equal to g(μx)? 4