SOLUTION: Shaq is in a free throw shooting competition where he shoots exactly 20 free throws and tries to make as many as he can. The probability he makes a free throw is a constant value o
Algebra ->
Probability-and-statistics
-> SOLUTION: Shaq is in a free throw shooting competition where he shoots exactly 20 free throws and tries to make as many as he can. The probability he makes a free throw is a constant value o
Log On
Question 513151: Shaq is in a free throw shooting competition where he shoots exactly 20 free throws and tries to make as many as he can. The probability he makes a free throw is a constant value of 0.45. Assume his shots are independent of each other.
a. What is the expected number of free throws Shaq will make?
I did 20X0.45= 9 9 expected throws.
b. What is the mode number of free throws Shaq will make?
This is the question I am most confused on. I am not sure how to create the data I need to find the mode.
c. What is the probability Shaq makes exactly 6 free throws?
For this I used the formula and got: P(x=6)= .074
d. What is the probability Shaq makes not less than 12 free throws?
I think this is a typo on my teachers part, and I will ask and get back to you.
Thanks in advance guys!! Answer by stanbon(75887) (Show Source):
You can put this solution on YOUR website! Shaq is in a free throw shooting competition where he shoots exactly 20 free throws and tries to make as many as he can. The probability he makes a free throw is a constant value of 0.45. Assume his shots are independent of each other.
a. What is the expected number of free throws Shaq will make?
E(x) = np = 20X0.45= 9 expected throws.
----------------------------
b. What is the mode number of free throws Shaq will make?
This is the question I am most confused on. I am not sure how to create the data I need to find the mode.
Comment: There is no way to calculate the mode.
-----------------------------------
c. What is the probability Shaq makes exactly 6 free throws?
For this I used the formula 20C6(0.45)^6*(0.55)^14 = P(x=6)= .0746
-------------------------------------------
d. What is the probability Shaq makes not less than 12 free throws?
P(12 <= x <=20) = 1 - P(0<= x <=11) = 1- binomcdf(20,0.45,11) = 0.1308
========================
Cheers,
Stan H.
===========
(