Given the following probabilities, which event is least likely to occur? P(A) = 1/5 P(B) = 0.23 P(C) = 25% P(D) = 1/3

32% of U.S. adults say they are more likely to make purchases during a sales tax holiday. You randomly select 10 adults. Find the probability that the number of adults who say they are more likely to make purchases during a sales tax holiday is (a) exactly two, (b) more than two, and (c) between two and five, inclusive. ... (a) P(2) = (Round to the nearest thousandth as needed.) (b) P(x > 2) = (Round to the nearest thousandth as needed.) (c) P(2≤x≤5) = (Round to the nearest thousandth as needed.)

22% of U.S. adults say they are more likely to make purchases during a sales tax holiday. You randomly select 10 adults. Find the probability that the number of adults who say they are more likely to make purchases during a sales tax holiday is (a) exactly two, (b) more than two, and (c) between two and five, inclusive. (a) P(2) = (Round to the nearest thousandth as needed.)

USA Today reports that about 25% of all prison parolees become repeat offenders. Alice is a social worker whose job is to counsel people on parole. Let us say success means a person does not become a repeat offender. Alice has been given a group of four parolees. (a) Find the probability P(r) of r successes ranging from 0 to 4. (Round your answers to three decimal places.) A.  P(0) =  P(1) =  P(2) =  P(3) =  P(4) =  (c) What is the expected number of parolees in Alice's group who will not be repeat offenders? paroleesWhat is the standard deviation? (Round your answer to two decimal places.) parolees(d) What is the smallest group Alice can counsel to be at least 98% sure that three or more parolees will not become repeat offenders? parolees

If the weight (in grams) of cereal in a box of Lucky Charms is N(485,3), what is the probability that the box will contain less than the advertised weight of 474 g? Note: You may need to use Excel to calculate the exact probabilities. (Round your answer to 5 decimal places.)

I need help with this very soon please. If 30​% of all pipework failures in the chemical plant were caused by operator​ error, then the probability that exactly 7 of the failures in the sample are due to operator error would be_______. Since the probability is (greater or less) than 0.05, this ( is or is not) a rare event. The 30% figure (seems or does not seem) reasonable.   (Round to four decimal places)

USA Today reports that about 25% of all prison parolees become repeat offenders. Alice is a social worker whose job is to counsel people on parole. Let us say success means a person does not become a repeat offender. Alice has been given a group of four parolees.   (a) Find the probability P(r) of r successes ranging from 0 to 4. (Round your answers to three decimal places.) P(0) =   P(1) =   P(2) =   P(3) =   P(4) =   (b) What is the expected number of parolees in Alice's group who will not be repeat offenders? paroleesWhat is the standard deviation? (Round your answer to two decimal places.) parolees(c) What is the smallest group Alice can counsel to be at least 98% sure that three or more parolees will not become repeat offenders? parolees

In the game of roulette, a player can place a $6 bet on the number 11 and have a ag probability of winning. If the metal ball lands on 11, the player gets to keep the $6 paid to play the game and the player is awarded an additional $210. Otherwise, the player is awarded nothing and the casino takes the player's $6. Find the expected value E(x) to the player for one play of the game. If x is the gain to a player in a game of chance, then E(x) is usually negative. This value gives the average amount per game the player can expect to lose. The expected value is $ (Round to the nearest cent as needed.)