SOLUTION: Jake plays basketball. Assume x= the number of basketball goals that Jake makes during a given season, and assume x can only take values from 0 to 6. The following table represent

Algebra ->  Conversion and Units of Measurement -> SOLUTION: Jake plays basketball. Assume x= the number of basketball goals that Jake makes during a given season, and assume x can only take values from 0 to 6. The following table represent      Log On


   

Question 1033567: Jake plays basketball. Assume x= the number of basketball goals that Jake makes during a given
season, and assume x can only take values from 0 to 6. The following table represents the probability
distribution for the discrete random variable y.
x 0 1 2 3 4 5 6
P(x) 0.09 0.11 0.24 0.25 ? 0.12 0.08
(a) Find the probability that Jake would score exactly 4 goals.
(b) Find the probability that Jake would score at least 2 goals.
(c) Find the mean of the probability distribution.
(d) Find the standard deviation of the probability distribution.
Answer by robertb(5830) About Me  (Show Source):
You can put this solution on YOUR website!
(a) 1 - 0.09 - 0.11 - 0.24 - 0.25 - 0.12 - 0.08 = 0.11
(b) 1 - p(0) - p(1) = 1 - 0.09 - 0.11 = 0.8
(c)
(d) Now
==> Var%28X%29+=+E%28X%5E2%29+-+%28E%28X%29%29%5E2+=+10.96+-+2.86%5E2+=+2.7804
==> SD%28X%29+=+sqrt%282.7804%29+=+1.667, to four significant figures.