SOLUTION: A quarterback on a football team has a pass completion rate of 0.62. If, in a given game, he attempts 16 passes, what is the probability that he will complete (a) 12 passes? (b)

Algebra ->  Probability-and-statistics -> SOLUTION: A quarterback on a football team has a pass completion rate of 0.62. If, in a given game, he attempts 16 passes, what is the probability that he will complete (a) 12 passes? (b)       Log On


   

Question 1177837: A quarterback on a football team has a pass completion rate of 0.62. If, in a given game, he attempts 16 passes, what is the probability that he will complete
(a) 12 passes?
(b) More than half of his passes?
(c) Interpret your result.
(d) Out of the 16 passes, what is the expected number of completions?
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!

Hi
Binomial Distribution:  p(pass completion) = .62
Using TI or similarly an inexpensive calculator like a Casio fx-115 ES plus 
n = 16
(a) P(x = 12) = binompdf(16, .62, 12) = .1224
(b) P(x > 6) = 1 - P(x ≤ 6)= 1 - binomcdf(16, .62, 6) = 1-.0411 = .9589
(c) Expected = .62 * 16 = 9.92  or 9 (rounded down to whole number)

Important You are  comfortable using Your Calculator.
(a) w/o using TI function: P+%28x%29=+highlight_green%2816C12%29%28.62%5E12%29%28.38%29%5E%284%29+ = .1224
(b) w/o using TI binomcdf function: P(x=0)+ P(x=1)+ P(x=2)+ P(x=3)+ P(x=4)+P(x=5)+P(x=6)
Wish You the Best in your Studies.