A stock trader in an equity market picks 10 stocks each month for a pension plan with

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A stock trader in an equity market picks 10 stocks each month for a pension plan with an average positive return, successful pick, probability of 0.75 per pick after 1 year of holding a position. What is the probability of getting

(a) exactly five successful picks out of the 10,

(b) exactly two unsuccessful picks in a month,

(c) no successful picks in a month,

(d) two or fewer successful picks in a month,

(e) five or more unsuccessful picks in a month, and

(f) at least two but not more than six successful picks in a month?

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