Asaleswoman has 2S presenators scheded for the ing month pistorany, 61% of her p

Question

Asaleswoman has 2S presenators scheded for the ing month pistorany, 61% of her presentations have resulted in sales. tisrea enatie to ostre that her chance of making , salt nany guen prese tien is not affected by what happens in any other presentation. Pind the following probabilines (to 3 decimals) (a) what is the probabity she makes at least 17 sates during the eng month? (b) what is the probablity she makes less than 15 sales during the coming month (c) What is the probablity she makes more than 19sales during the coming month?

Explanation / Answer

n=25

p = success probability = 0.61

X = number of sales she makes

X follows binomial distribution

P[ X = x ] = nCx p x (1-p) n-x

a. P [ X >=17 ] = P[X=17] + P[X=18] + ............+ P [X=25] = 0.3086281137

b. P[ X<15] = P[X=0]+P[X=1]+............+P[X=14] = 0.37433689344

c. P[X>19] = P[X=20]+P[X=21]+.............+ P[X=25] = 0.03665999026

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