Please calculate the probability distribution and answer questions a and b

At the end of a basketball game, a team is down by 1 point. As the last play, a player from that team throws a three-point shot that misses, but the player is fouled and he gets to take 3 free throws (each worth 1 point) to end the game. On any given free throw, the probability that the player makes the shot is twice as large as the probability that he misses the shot. Write out the sample space of all possible outcomes from the three free throws, and then calculate the probability distribution of all values of the random variable X = number of successful free throws made.

Answer the following two questions using the probability distribution calculated above

a) If a game is tied at the end of regulation, the two teams play an overtime
period. What is the probability that the player forces an overtime period?
b) What is the probability that team A wins in regulation?

Solution Summary

Solves probability distribution problems about who will win a basketball match and whether it will run into overtime. Attached as Word.

A basketball team scores 45% of the time it gets the ball. Find the probability that the first basket occurs on its third possession (Assume independence)

The student population at the state college consists of 55% females and 45% males.
a) The college theater department recently staged a production of a modern musical. A researcher recorded the gender of each student entering the theater and found a total of 385 females and 215 males. Is the gender distributionfor theater

Basketball: Fouls Data for this problem are based on information from STATS Basketball
Scoreboard. It is thought that basketball teams that make too many fouls in a game tend to lose the game even if they otherwise play well. Let x be the number
of fouls more than (i.e., over and above) the opposing team. Let y be the percenta

In a certain carnival game a player pays $1 and then tosses a fair coin until either a "head" occurs or he has tossed the coin four times. He receives fifty cents for each toss. Determine the probabilitydistributionfor the experiment of playing the game and observing the player's earnings.

1. CNBA basketball player Steve Swoopes scores on 85% of his foul shots. If he gets eight foul shots during a game, what is the probability that he will score on exactly seven of them?
2. A manufacturing company uses a binomial distribution to predict the number of defective units among its products. What is a "success" in t

Shaquille O'Neal is not recognized as good free throw shooter. Career average is 0.532 (53.2%). Suppose in a game Shaq takes 5 free throws.
a. What type of probabilitydistribution is this? Explain (Binomial???)
b. What are the mean and standard deviation for the number of made free throws?
c. What is the probability

Consider the following scenario to understand relationship between marginal and average values.
Suppose Tim is a professional basketball player, and his game log for free throws can be summarized in the table below. Fill in the columns to show Tim's free-throw percentage for each game and overall free-throw average.
Game

The Springfield Kings (a professional basketball team), has won 12 of its last 20 games and is expected to continue winning at the same percentage rate. The team's ticket manager is anxious to attract a large crowd to tomorrow's game but believes that depends on how well the Kings perform tonight against the Galveston Comets. He

Work questions 1 and 2 listed below using Excel. For each question, create the entire binomial distributionfor the situation described in the question. The "BINOMDIST" function will calculate the probability results. You'll need to create a binomial distribution table and distribution graph for each problem. Use the table you