The following table provides a probability distribution for the random variable y. f(y) 0.20 5 0.30 6. 0.40 0.10 a. Compute E(y) (to 1 decimal). b. Compute Var(y) and o (to 2 decimals). Var(y)

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 playing

(c) Determine a probability distribution for the random variable, X, the number of credit cards issued to an individual. x (# of cards) P(x) x (# of cards) P(x) 0.14 0.01 0.31 7 0.03 3 0.30 8 0.02 4 0.10 9 0.02 0.06 10 0.01 (Type integers or decimals. Do not round.)

The 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!!

Then find:  a. E(X + Y)  b. E(XY)  c. E(X/Y)  d. Var(X + Y)