Based on past results, a batter knows that the opposing pitcher throws a fastball 75% of the time and a curveball 25% of the time. Suppose the batter sees 8 pitches during a particular at-bat. Determine each probability. Round your answers to the nearest tenth of a percent.

P(4 fastballs and 4 curveballs) P(all fastballs) P(5 fastballs and 3 curveballs)

P(5 curveballs and 3 fastballs) P(7 fastballs and 1 curveball) P( no fastballs)

This is computed using the binomial distribution with p= 0.75, q=0.25, N=8 (for binomial interpretation, think of fastball throw as "success", s= number of successes or fastball throws)

I used the Excel function BINOMDIST(s,N,p, FALSE) to compute it

P(4 fastballs and 4 curveballs)=BINOMDIST(4,8,0.75, FALSE)= 0.0865

P(all fastballs)=BINOMDIST(8,8,0.75, FALSE)= 0.1

P(5 fastballs and 3 curveballs)=BINOMDIST(5,8,0.75, FALSE)=0.2076

P(5 curveballs and 3 fastballs)=BINOMDIST(3,8,0.75, FALSE)=0.023

P(7 fastballs and 1 curveballs)=BINOMDIST(7,8,0.75, FALSE)=0.267

P( no fastballs) =BINOMDIST(0,8,0.75, FALSE)=1.525 E-5