A basketball player has a 25% accuracy rate at making three-point shots. Mark thought it was reasonable that each attempt was independent and the probability stayed at 25% for this player.Using the geometric distribution formula, what is the probability that the basketball player makes his first three-point shot on the third attempt? Answer choices are rounded to the hundredths place.a.)0.14b.)0.25c.)0.38d.)0.56

In a video game, the player conducts shooting training. Each shot has a probability of 0.7 to hit and a probability of 0.3 to miss. The player shoots three times in a row. Please calculate the probability of the following situations:Exactly one hit（Round to three decimal places）？

YouThe probability that a soccer player scores when he makes a shot is 0.527. If he takes 15 shots next game, what is the probability that he will score 3 times?

When shooting two free throws, the chance that a basketball player makes her first free throw is 70%. If she makes her first free throw, her confidence goes up and there is a 75% chance that she will make her second free throw. But, if she misses her first free throw, her confidence goes down and there is only a 50% chance that she will make her second free throw. Find the probability of each event below. Round each probability to four decimal places. You may find it useful to sketch yourself a tree diagram. (a) she makes both free throws? (b) she misses both free throws? (c) she makes exactly one of the two free throws? (d) she makes at least one of the free throws?

31. Sephen is practising basketball penalty shots. The probability that he scores in the firet attempt is 0.75 and each subsequent attempt that he makes is affected by the previous one. The probability that he scores in thenext penalty shot is 0.8 if he scores in the previous one. The probabiliny that he scores in the next penalty shotis 0.45 if he does not score in the previous one. Find the probability that (a) he scores in the first two shots. B.he scores at least once in the first two shots, C.he does not score until his fourth shot. 34. Terry puts three different letters randomly in three envelopes with different addresses, Find the probability thatat least one letter is put in the envelope with correct address.

A coach is examining two basketball players’ free-throw percentages over the last few games. Bob made 34 out of 85 shots and Joe made 72 out of 125 shots. The coach wants to know if Bob is a 10% worse free-throw shooter than Joe. Which of the following would be the p-value of the corresponding test?Multiple Choice0.27280.13640.45440.4322