We are interested in the numbers th e foil as their main weapon. a Part (a) In w

Question

We are interested in the numbers th e foil as their main weapon. a Part (a) In words, define the Random Variable X. the number of fencers at The Fencing Center the different types of weapons the number of fencers that do not use the foil as their main weaporn the number of fencers that do use the foil as their main weapon List the values that Xmay take on, X 1, 2, 3,..., 60 X-1,2,3,..19 E Part (c) Give the distribution of X E Part (d) How many fencers are expected to not use the foll as their main weapon? (Round your answer to the nearest whole number) fencers E Part (e) Find the probability that nine do not use the foil as their main weapon. (Round your answer to four decimal places.)

Explanation / Answer

a) Option-C)

b) Option-A) X = 0, 1, 2, ... , 19

c) X ~ B(19, 0.4)

b) Expected value = n * p = 19 * 0.4 = 7.6 = 8 fencers

e) P(X = 9) = 19C9 * 0.49 * (1 - 0.4)19-9 = 0.1464

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