Probability distribution

[dcc3038026]

I need to prepare a probability distribution for this experiment. A field goal kicker has a kicking average of .75 and he tries 3 field goals in a game. The number of field goals is counted.
Let x represent the random variable, and let P represent the probability.

 

[arthur ohlsten]

let P be the probability of success = .75
let Q be the probability of a failure = .25

[P+Q]^3 is the results of 3 attempts
[P+Q]=P^3+3P^2Q+3P^1Q^2+Q^3 answer

P^3=27/64
3P^2Q=27/64
3PQ^2=9/64
Q^3=1/64

Arthur