SOLUTION: Appreciate your help in accomplishing this problem. This is an instructor generated question and having problems understanding and getting started. A basketball player makes fr

Question 124184: Appreciate your help in accomplishing this problem. This is an instructor generated question and having problems understanding and getting started.
A basketball player makes free throw shots 80% of the time. If the player attempts 10 free throw shots,
a. What is the expected value (mean) of the number of free throw shots the player makes
b. What is the standard deviation of the number of free throw shots the player makes?
c. What is the probability that the player makes at least three shots?
d. What is the probability that the player makes between 7 and 9 shots, inclusively?
Appreciate any assistance you can provide. (I know we have to a table to assist with finding the solutions)
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
A basketball player makes free throw shots 80% of the time. If the player attempts 10 free throw shots,
a. What is the expected value (mean) of the number of free throw shots the player makes
Since he either makes or misses each shot this is a binomial problem.
The mean for binomial is np
Your answer is np = 20*0.8 = 16
-------------------------------------
b. What is the standard deviation of the number of free throw shots the player makes?
The standard deviation is sqrt(npq) = sqrt(16*0.2) = 1.7888..
---------------------------------------------
c. What is the probability that the player makes at least three shots?
You have a chart and I have a TI-83 calculator.
I get 1-binomcdf(20,0.8,2) is approximately 1.
----------------------
d. What is the probability that the player makes between 7 and 9 shots, inclusively?
I get binomcdf(20,0.8,9)-binomcdf(20,0.8,6)= 0.00056
=========
Cheers,
Stan H.

RELATED QUESTIONS
Please help me solve these three math problems. I am taking Math0099. These are math... (answered by rfer)

10^3r-2=18 this is a review question from my instructor and i am having a problem solving (answered by stanbon)

I was given this question by an instructor at MMI and it has been too long since I have... (answered by scott8148)

Hello, My daughter is in the 5th grade and she is having a hard time with this... (answered by jgr45,stanbon)

i am having trouble solving problems similar to this: Write an equation of the line that... (answered by jim_thompson5910,B-Rod33,nabla)

I thought I understood the material presented in class but need assistance in... (answered by stanbon)

I am truly confused by word problems. Please help. This is the question. A... (answered by Alan3354,jojo14344)

Hi, Can someone help me with this problem, I have been out of school for 20 year and I (answered by Alan3354)

I'm having problems with this problem. can you please help. find the probability of... (answered by Alan3354)