Problen Suppose a random variable x is best described by a uniform probability distribut with range 2 to 5. Find the value of a that makes the following probability statements true (a) P(x < a) = 0.25 a = .30489 (b) P(x < a) = 0.76 a = (c) P(x > a) = 0.71 a = ... (d) P(x > a) = 0.41 a = (e) P(2 < x < a) = 0.26 %3D

Q1A Suppose that the probability of finding defectives within a manufactured lot of electrical fuses is 0.09. Assume the probability distribution function (PDF) is binomial. Let X be the number of defectives within the sample. In a sample of 25 fuses, find the probabilities: (a) P(X 2), (b) P(X > 0), (c) P(1 ≤ X < 4). === B Suppose the discrete random variable X has the PDF as in the table below. Find: (a) F(7), (b) E(4-3X). I 4 6 7 8 9 f(x) 0.2 0.25 0.15 0.3 0.1

Suppose the probability distribution of x, the number of defective tires on a randomly selected car checked at a certain inspection station, is given in the following table. 1 4 p(x) 0.54 0.18 0.07 0.03 0.18 (a) Calculate the mean value of x. (b) What is the probability that x exceeds its mean value?

Find the probability ​P(Ec​) if ​P(E)=0.17.

Suppose a random variable x is best described by a uniform probability distribution with a range 0 to 5. Find the value of a that makes the following probability statements true.