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- The probability distribution for the number of automobiles sold during a day (x) at Bob Iron Motors is as follows. x f(x) 0 0.001 1 0.007 2 0.034 3 0.099 4 0.188 5 6 0.220 7 0.136 8 0.055 9 0.015 10 0.001 20 The probability that between 3 and 7 automobiles will be sold is, P(3 ≤ x ≤ 7) a 0.852 b 0.869 c 0.887 d 0.9051. Answer the following questions using the probability tree below: .2 .3 X .3 .8 a Y (a) What is the value of z? (b) What is the probability of X occurring? (c) What is Pr[Xa] (Note: Pr[Xa] = Pr[X and a].) (d) What is Pr[X_or a]? (e) What is Pr[a|X]? (f) What is Pr[c]?P9
- Denote by a* 0 < x <1 0.5 2 <*Let X be the total number of groups of customers at Jellibabix's restaurant over one day in Lugdunum. Experience shows that X Poi(30). Each table (group of customers) orders at least one bottle of wine with probability p = 0.80. Suppose each table decides independently from other tables whether or not to order wine. If Y is the number of tables that ordered at least one bottle of wine, find the distribution of Y (hint: consider the distribution of Y given X = x).I need help finding the probability that only two cars arrive.Solve the following 1. If the joint probability distribution of X and Yis given by x+y f(x, y) for x = 0,2,3; y = 0,1,2 30 FindIn an uncertain economy, Americans tend to keep spending down. Let x be the amount of money U.S. individuals spend on groceries monthly. Suppose the probability distribution of x is a uniform distribution from $300 to $400 which is represented by the picture below. f(x) 0.010 0.008 0.006 0.004 0.002 300 320 340 360 380 400 X i (a) What is the probability that a randomly selected individual spends between $315 and $370 on groceries each month? (b) Determine whether the following statement is true or false. The variable, the amount an individual plans to spend on groceries per month, is a numerical (quantitative) variable. True O FalseSuppose X takes the value 1 with probability P, and the value 0 with probability (1-P). The Probability distribution of X is P(X) 1-P 1 P The expected value of X, E(X) is:Is P(S = s) = fs(s) = 1+11+1 ; s = 0,1,2,... 0; е. w. a discrete probability function? Why or why not?Please solveWhich of the following is not a property of a discrete probability distribution being valid? All values of P(x) must be positive. All values of P(x) must fall between 0 and 1. All values of x must be positive. The sum of all P(x) values must be 1.SEE MORE QUESTIONS