Question

The Manchester United football club has ‘x’ % chance of losing a game. In a series of ‘n’ matches, find the following probabilities assuming that the distribution of losing a match follows a Binomial distribution. (Use the Dataset H to find the value of’ x’ and’ n’ ) a. They will win at least’ n-1’ matches. b. They will lose exactly ‘ n-2 ‘matches.

	x	n
1	50	6

Answer 1

The number of matches the the club lose out of the 6 games here is modelled as:

a) Probability that they win at least n - 1 matches that is they win at least 5 matches is computed here as:

Therefore 0.109375 is the required probability here.

b) Probability that they will lose exactly n - 2 = 4 matches is computed here as:

Therefore 0.234375 is the required probability here.