A basketball player makes 70% of the free throws he shoots. Suppose that he tries 15 free throws.
1 answer:
Answer:
a.) .95
b.) The expected number of baskets is 10.50.
c.) 1.7748
Step-by-step explanation:
a.) This is a binomial distribution as there are two possibilities: makes a free throw or doesn't. This means that you can use the binomial function on a calculator to figure out the answer. Use the binomial CDF function on a calculator and the number of trials=15, probability of success=.7, lower bound=0, upper bound=7. Once you have evaluated the answer, .0500, it will need to be subtracted from1, as you want everything not included in this section. The answer to part a is thus 1-.0500=.95.
b.) The expected value is calculated by taking the total number of shots and multiplying it by the probability of making the shot: 15×.7=10.5 shots.
c.) The standard deviation of a binomial distribution can be calculated by the formula . Plugging in the numbers you get
=1.7748.
You might be interested in
For 2) and 4), check the picture below
that's the "secant segments from external point" theorem... and that's just an example... so... use that for those
now, for the other two, you'd want to post them separately, one at a time, easier to track and revise
that's the "secant segments from external point" theorem... and that's just an example... so... use that for those
now, for the other two, you'd want to post them separately, one at a time, easier to track and revise