What must you assume in order for X to have a binomial distribution?
What must you assume in order for X to have a binomial distribution?
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.
a. During a game, one such player shot 10 free throws. Let X=number of free throws made. What must you assume in order for X to have a binomial distribution?
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Order Paper NowA. It is assumed that the data are not binary.
B.It is assumed that the data are binary, that probabilities of success for trials (free throws) differ for each trial, and that the trials are independent.
C. It is assumed that the data are binary, that there is the same probability of success for each trial (free throw), and that the trials are dependent.
D.It is assumed that the data are binary, that there is the same probability of success for each trial (free throw), and that the trials are independent.
b. Specify the values of n and p for the binomial distribution of X in part a.
| n | = | 1010 |
| p | = | . 90.90 |
(Type integers or decimals. Do not round.)
c.Find the probability that the player made all 10 free throws, 9 free throws, and more than 7 free throws. The probability that the player made all 10 free throws is 0.3870.387.
(Round to the nearest thousandth as needed.)
The probability that he made 9 free throws is 0.3870.387.
(Round to the nearest thousandth as needed.)
The probability that he made more than 7 free throws is 0.9470.947. (Round to the nearest thousandth as needed.)
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