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- If a binomial experiment has probability p success, then the probability of failure is ____________________. The probability of getting exactly r successes in n trials of this experiment is C(_________, _________)p (1p)Assume that the probability that an airplane engine will fail during a torture test is 12and that the aircraft in question has 4 engines. Construct a sample space for the torture test. Use S for survive and F for fail.Between 5:00 pm and 6:00 pm, cars arrive at a McDonald’s drive-thru at the rate of 20 cars per hour. The following formula from probability can beused to determine the probability that x cars will arrive between 5:00 pm and 6:00 pm.P(x) = (20xe-20)/x! wherex! = x . (x - 1) . (x - 2) . g. 3 . 2 . 1(a) Determine the probability that x = 15 cars will arrive between 5:00 pm and 6:00 pm.(b) Determine the probability that x = 20 cars will arrive between 5:00 pm and 6:00 pm.
- Let X and Y be independent, taking on {1,2,3,4,5} with equal probabilities. E((X+Y)2)=?In a national basketball association, the top free-throw shooters usually have probability of about 0.90 of making any given free throw. Complete parts (a) through (c).Find the probability that the player made all 11 free throws and the probability that he made 10 free throws.I set this up like this: 11/11x(.90)to the 11th power, x(1-.90)to the 0 power, is that correct?Within the interval (0,1)we randomly choose two numbers: x and y . Determine the probability that the number (5x+y) is divisible by 3 .
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- Suppose X is a random variable with E(X2)=10 , and E(X)=2. Find the following: E(2X + 5) Var(X) Var(2X + 5)Let X1 and X2be independent exponential random variables: fX1(x1) = e−x1 and fX2(x2) = e−x2 1People enter a line for theDemon Roller Coaster at the rate of 4 per minute. The following formula from probability can be used to determinethe probability that x people will arrive within the next minute. P(x) = 4xe-4/x! wherex! = x . (x - 1) . (x - 2) .g. 3 . 2 . 1(a) Determine the probability that x = 5 people will arrive within the next minute.(b) Determine the probability that x = 8 people will arrive within the next minute.