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- Find the probability of each event. Getting 2 red eggs in a single scoop from a bucket containing 5 red eggs and 7 yellow eggsSuppose that the random change in value of a financial asset is X over the first day and Y over the second. Suppose also that Var(X) =18 and Var(Y) = 26 In this case, the total change in the value over these two days is given by X +Y. Do you have enough information to compute Var(X +Y)? If so, compute this value. If not, explain what additional information you need to do so.Suppose Uniform(01,02) where the parameters 01 and 02 take the values -4 and -3 respectively. Compute the probability P(Y < y) when y=-3.90.
- The number of work accidents that occur per week in a mine follows Poisson's law so that the probability of 2 accidents occurring is equal to 3/2 of the probability of an accident occurring. Calculate the probability that the time for the first accident to occur is one week.Find the probability that the student is female, given that an education degree is not received. P(F|E')Suppose, you are given a straight-line equation, 3x+2y=6 where x and y both of them are integer numbers and ∣y∣<12. Compute the probability when ∣x∣=∣y∣.
- You are doing an industry analysis of the Bloomingtonpizza industry. The rate (per year) at which pizza restaurantsenter the industry is given by p, where p price of a pizzain dollars. The price of a pizza is assumed to be max(0,16 .5F), where F number of pizza restaurants inBloomington. During a given year, the probability that apizza restaurant fails is 1/(10 p). Create a birth–deathmodel of this situation.a In the steady state, estimate the average number ofpizza restaurants in Bloomington.b What fraction of the time will there be more than 20pizza restaurants in Bloomington?The mean of the time it takes for a product to arrive from China is 60 days and the standard deviation is 10 days. What is the probability that if 2 products are ordered from China, each of them will take 70 or more days to arrive. Assume that the arrival time of these 2 products are independent.Suppose PX,) =0.75 and AY,/X) = 0.40. What is the joint probability of X, and Y,? (Round your answer to 2 decimal places.) Joint probability ok
- Find the probability for P(y < 0 or y > 3) if y is distributed as N(1, 9)Find the probability that the first traffic light is green given thatthe second traffic light is green.I Know: P(A) = 0.55. P(A^c) = 0.45 P(B|A) = 0.75 P(B|A^c) = 0.09 P(B) = 0.453I Want to find: P(A|B)The probability that an event will not happen is PE′=0.79. Find the probability that the event will happen.