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In: Statistics and Probability

a) Calculate the mean, variance, and standard deviation for each of the binomial distributions below. i)...

a) Calculate the mean, variance, and standard deviation for each of the binomial distributions below.
i) ?~?(1000,0.05)
ii) ?~?(800,0.25)

b) Team Victory’s winning rate is 20% whenever it plays a match. If the team Victory played 10 matches, what is the probability:
i) It will win exactly one match.
ii) It will win at most two matches.

c) On average, Ali scores a goal per match. What is the probability that Ali will score:
i) No goals in the next match.
ii) Exactly two goals in the next match.
iii) A minimum of 2 goals in the next 5 matches.

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