Find the following probabilities: (1) P[DL] (2) P[D U L] (3) P[V B] (4) P[V U L] (5) P[V U D] (6) P[LB]
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- 8 Given that p(AB)=0, and p(A)=.15, are A and B (a) independent? (b) exclusive?When v, = 2, show that the significance level of F corresponding to a significant probability p is: F = [p-(2/₂) - 1] where v, an v₂ have their usual meanings. V2 24.) Classify each of the following random variables as discrete or continuous. a.) X = the number of eggs that a hen lays in a day b.) Y = the amount of milk a cow produces in a day c.) W = the measure of voltage for a smoke-detector battery d.) M = the count of the number of patrons attending a rock concert e.) C = the cost of a randomly selected textbook f.) X = the time it take to fill %3D %3D %3D %3D %3D can of soda
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- Check the validity of the inference given below directly.Suppose X and Y have the joint probability distribution given by the table shown below. Compute Cov(X,Y). -0.750 O-0.125 -0.625 -0.250 -2 y o 2 0 18 1 BIT 8 x 1 1 4 1 2 0(Sec. 3.2) A student is required to enroll in one, two, three, four, five, six on the desired courseload) at a local university. Let Y the number of classes the next student enrolls themselves in. The probability that y classes are selected is known to be proportional to y+1, in other words the pmf of Y is given by p(y) = k(y+1) for y 1,...,7, and 0 otherwise (a) What is the value of k? or seven classes (depending (b) What is the probability that at most four classes are enrolled in? (c) What is the probability that a student enrolls in between three and five classes (inclusive)? y? /40 for y 1,.,7 be the pmf of Y? Explain why why not (d) Could p(y) or
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