Answer to Question #86831 in Statistics and Probability for Cherrie Mae Magdalaga

Question #86831
If the basketball player takes 8 independent free throws, with a probability of 0.7 of getting a basket on each shot, what is the probability that she gets exactly 6 baskets?
1
Expert's answer
2019-03-22T13:13:45-0400

Let X denote number of getting baskets in n=8 independent free throws, with a probability p=0.7 of getting a basket on each shot. X has a binomial distribution Binomial (n=8, p=0.7).

The probability that she gets exactly 6 baskets is


P(X=6)=(86)0.76(10.7)86P(X=6)=\dbinom{8}{6}*{0.7}^6*(1-0.7)^{8-6}P(X=6)=8!6!(86)!0.760.32=0.296475P(X=6)=\dfrac{8!}{6!(8-6)!}*0.7^6*0.3^2=0.296475


Need a fast expert's response?

Submit order

and get a quick answer at the best price

for any assignment or question with DETAILED EXPLANATIONS!

Comments

No comments. Be the first!

Leave a comment