2b) Find zo for the following probabilities: Zo ii) P (z ≤ Zo) = 0.30 0.52 0.12 0 -0.52
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- to to 9. For the following probability distribution in Exercise 4(b), find each of the following probabilities: (a) P(X 2 2) (b) P(X 0), P(Z < 2)and P(-2assume that Pr[A] = 0.45, Pr[B] = 0.35, and Pr[A n B] = 0.25. Compute the following conditional probabilities: (1) Pr[A|B] = (2) Pr[B|A] =I need help with question #2 please Homework reviewcORLEM 2. Arandom variable X has the following probability Function find the value of K i) ii) Mean iii) Variance iv) P (X>3) v) p(1A branch of a certain bank has six ATMs. Let X represent the number of machines in use at a particular time of day. The cdf of X is as follows: F(X) = (b) Calculate the following probabilities directly from the cdf: (a) p(2), that is, P(X = 2) (c) 0 x 3) P(2 ≤x≤5) P(2 < X <5)A branch of a certain bank has six ATMs. Let X represent the number of machines in use at a particular time of day. The cdf of X is as follows: F(x) = (b) Calculate the following probabilities directly from the cdf: (a) p(2), that is, P(X = 2) (c) 0 0.09 0.21 0.33 0.53 0.90 0.99 1 P(X > 3) x < 0 0 < x < 1 1 ≤ x < 2 2Use the following information to answer A-C. The table below shows the probablity of a certain number of students having fatigue. (Out of 4 randomly selected students)/ x P(x) 0 0.10 1 0.20 2 0.35 3 0.30 4 0.05 A) What is the probability that more than 2 of 4 randomly selected students have fatigue? B) What is the mean (to the nearest 0.1) number of students with fatigue out of 4 randomly selected students? C) What is the standard deviation (to the nearest 0.1) of the number of students with fatigue out of 4 randomly selected students? [Show all work with a table or formula]Find the following probabilities: a) Pr{Z < 0.33} b) Pr{Z ≥ −0.33} c) Pr{−2.06 < Z < 2.06} d) Pr{−2.06 < Z < 0.0} e) Pr{−4.00 < Z < 0.0} f) Pr{Z < −1.75 or Z > 1.75} (you want the probability that Z is outside the range −1.75 to 1.75) g) Pr{−1.75 < Z < 1.75}Of 9 randomly selected male students, Xj used Apple computer, whereas of 12 randomly selected female student, X2 used Apple computer. Let: p1 and p2 denote the probabilities that a randomly selected male and female students, respectively, played tennis. what is unbiased estimator of P1 - P2 ? X2 Da. 7+ 12 X1 X2 Ob. 49 144 X2 12 X1 Od. 49 X2 144Recommended textbooks for youMATLAB: An Introduction with ApplicationsStatisticsISBN:9781119256830Author:Amos GilatPublisher:John Wiley & Sons Inc
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