In: Statistics and Probability
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.