The joint pmf of X and Y are given in the table below: Y X 2 4 27 15 6 15 1 15 3 15 3 15
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- The table gives the joint probability distribution of the number of sports an individual plays (X) and the number of times she may get injured while playing (Y) X=1 X=2 X=3 0.12 0.08 0.15 0.06 0.05 0.05 0.10 0.03 0.15 0.15 0.04 0.02 Y=4 Y=3 Y=2 Y=1 The covariance between X and Y, oxy, is (Round your answer to two decimal places Enter a minus sign if your answer is negative) The correlation between X and Y, corr(X, Y), is (Round your answer to two decimal places Enter a minus sign if your answer is negative.) An increase in the number of sports an individual plays will tend to * the number of times she may got injured while playingThe following table is a partial probability distribution for the MRA Company's projected profits (x = profit in $1,000s) for the first year of operation (the negative value denotes a loss). x f(x) −100 0.100 0.2050 0.30100 0.25150 0.10200 (a) What is the proper value for f(200)? f(200) = What is your interpretation of this value? This is the ---Select--- percent probability that the MRA will have a $200,000 profit. (b) What is the probability that MRA will be profitable? (c) What is the probability that MRA will make at least $100,000? Please only correct and with concept and dont do handwritten or skip please!!Assume that in a certain company of Muscat the probability of a certain item being defective is 0.06, suppose further that the quality of an item is independent of the quality of another manufactured items. An inspector selected ten items at random. Let a random variable X represents the number of defective items in the sample. How X is distributed? Determine the values of E(X) and Var(X). Find P(X=0),P(X≤1),P(X≥3).
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