Find the indicated Probability. Show work. A tennis player makes a successful first serve 51% of...
Find the indicated Probability. Show
work.
A tennis player makes a successful first serve 51% of the time. If
she serves 9times, what is the probability that she gets exactly 3
first serves in? Assumethat each serve is independent of the
others.
Homework Answers
Let X is a random a variable shows the number of times she gets serve. Here X has binomial distribution with parameters n=9 and p=0.51. The probability that she gets exactly 3 first serves in is
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Find the indicated Probability. Show
work.
A tennis player makes a successful first serve 51% of...
6 pts Question 13 A tennis player makes a successful first serve 51% of the time....
6 pts Question 13 A tennis player makes a successful first serve 51% of the time. If she serves 9 times, what is the probability that she gets exactly 3 first serves in? Assume that each serve is independent of the others. 0.133 0.154 0.00184 0.0635 8 pts
A certain tennis player makes a successful first serve 62% of the time. Assume that each...
A certain tennis player makes a successful first serve 62% of the time. Assume that each serve is independent of the others. If she serves 6 times, what's the probability she gets a) all 6 serves in? b) exactly 5 serves in? c) at least 4 serves in? d) no more than 3 serves in? a) The probability that she gets all 6 serves in is nothing.
A certain tennis player makes a successful first serve 77% of the time. Assume that each...
A certain tennis player makes a successful first serve 77% of the time. Assume that each serve is independent of the others. If she serves 4 times, what's the probability she gets a) all 4 serves in? b) exactly 2 serves in? c) at least 2 serves in? d) no more than 3 serves in?
14. A certain tennis player makes a successful first serve 72% of the time. Assume that...
14. A certain tennis player makes a successful first serve 72% of the time. Assume that each serve is independent of the others. If she serves 7 times, what's the probability she gets a) all 7 serves in? b) exactly 6 serves in? c) at least 5 serves in? d) no more than 6 serves in? (Round to three decimal places as needed.).
A certain tennis player makes a successful first serve 78% of the time. Suppose the tennis...
A certain tennis player makes a successful first serve 78% of the time. Suppose the tennis player serves 100 times in a match. What's the probability that she makes at least 81 first serves?
A player serving in tennis has two chances to get a serve into play. If the...
A player serving in tennis has two chances to get a serve into play. If the first serve is out, the player serves again. If the second serve is also out, the player loses the point. Observe the probabilities based on four years of the Wimbledon Championship P(1st serve in) = 0.59 P(win point 1st serve in) = 0.73 P(2nd serve in |1st serve out) = 0.86 P(win point | 1st serve out and 2nd serve in) = 0.59 Make...
A basketball player makes each free-throw with a probability of 0.8 and is on the line for a one-and-one free thro...
A basketball player makes each free-throw with a probability of 0.8 and is on the line for a one-and-one free throw. (That is, a second throw is allowed only if the first is successful.) What is the probability that the player will score 0 points? 1 point? 2 points? Assume that the two throws are independent The probability of scoring 0 points is Suppose that in Sleepy Valley only 30% of those over 50 years old own CD players. Find...
Find the mixed strategy Nash equilibrium of this game, please explain and show your work. O3. Serena and Venus are ha...
Find the mixed strategy Nash equilibrium of this game, please
explain and show your work.
O3. Serena and Venus are has to decide whether to serve to Venus's forehand or backhand. Venus has to anticipate either a forehand or a backhand. The following table gives the success percentage for Serena. playing Tennis. Consider a single point in which Serena is serving. She Venus Anticipate Anticipate backhand forehand Serve to forehand 80 20 Serena Serve to backhand 40 90 For instance,...
Problem 3. In the game of tennis, the first player to win four points wins the...
Problem 3. In the game of tennis, the first player to win four points wins the game as long as the winner's total is at least two points more than the opponent. Thus if the game is tied at 3-3(Deuce"), then the game is not decided by the next point, but must go on until one player has two points more than the opponent's score. Assume that the server has a constant probability p of winning each point, independently of...
4. A basketball player practices making 100 free throws every day. The probability that she makes...
4. A basketball player practices making 100 free throws every day. The probability that she makes each free throw is p=0.6. You may assume that each free throw's outcome is independent of every other free throw's outcome. a) What is the probability that she makes all 100 free throws? b) What is the probability that she makes half of the 100 free throws? b) What is the expected number of free throws that she misses? c) What is the variance...
6 pts Question 13 A tennis player makes a successful first serve 51% of the time. If she serves 9 times, what is the probability that she gets exactly 3 first serves in? Assume that each serve is independent of the others. 0.133 0.154 0.00184 0.0635 8 pts
A player serving in tennis has two chances to get a serve into play. If the first serve is out, the player serves again. If the second serve is also out, the player loses the point. Observe the probabilities based on four years of the Wimbledon Championship P(1st serve in) = 0.59 P(win point 1st serve in) = 0.73 P(2nd serve in |1st serve out) = 0.86 P(win point | 1st serve out and 2nd serve in) = 0.59 Make...
A basketball player makes each free-throw with a probability of 0.8 and is on the line for a one-and-one free throw. (That is, a second throw is allowed only if the first is successful.) What is the probability that the player will score 0 points? 1 point? 2 points? Assume that the two throws are independent The probability of scoring 0 points is Suppose that in Sleepy Valley only 30% of those over 50 years old own CD players. Find...
Find the mixed strategy Nash equilibrium of this game, please
explain and show your work.
O3. Serena and Venus are has to decide whether to serve to Venus's forehand or backhand. Venus has to anticipate either a forehand or a backhand. The following table gives the success percentage for Serena. playing Tennis. Consider a single point in which Serena is serving. She Venus Anticipate Anticipate backhand forehand Serve to forehand 80 20 Serena Serve to backhand 40 90 For instance,...
Problem 3. In the game of tennis, the first player to win four points wins the game as long as the winner's total is at least two points more than the opponent. Thus if the game is tied at 3-3(Deuce"), then the game is not decided by the next point, but must go on until one player has two points more than the opponent's score. Assume that the server has a constant probability p of winning each point, independently of...
4. A basketball player practices making 100 free throws every day. The probability that she makes each free throw is p=0.6. You may assume that each free throw's outcome is independent of every other free throw's outcome. a) What is the probability that she makes all 100 free throws? b) What is the probability that she makes half of the 100 free throws? b) What is the expected number of free throws that she misses? c) What is the variance...
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