Question

Jake plays basketball. Assume y= the number of basketball goals that Jake makes during a given season, and assume y can only take values from 0 to 6. The following table represents the probability distribution for the discrete random variable y.
y0123456 P(y) 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.
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