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An office supply company conducted a survey before marketing a new paper shredder designed for home use. In the survey, 80% of people used the shredder were satisfied with it. Because of the high acceptance rate, the company decided to make the new shredder. Assume that 80% of all people who use it will be satisfied. On a certain day 7 customers bought the shredder.
Let x denote the number of customers in this sample of 7 who will be satisfied with this shredder. Using the binomial probabilities table, obtain the probability distribution of x and fill in the table
x 0 1 2 3 4 5 6 7
p(x)(for each number)

Respuesta :

Answer:

Probability distribution of x

Step-by-step explanation:

Binomial Probability = N c x . (P)^x . (Q)^ n-x

N = Total trials, 7 customers here ; P = Prob of success, 0.80 satisfied here ;    x = No. of success (1....7) ; Q = Prob of fail, 0.20 not satisfied here

P (x = 1) = 7c1 (0.80)^1 (0.20)^7  = 0.00035

P (x = 2) = 7c2 (0.80)^2 (0.20)^6 = 0.0043

P (x = 3) = 7c3 (0.80)^3 (0.20)^5 = 0.0286

P (x = 4) = 7c4 (0.80)^4 (0.20)^4 = 0.1146

P (x = 5) = 7c5 (0.80)^5 (0.20)^3 = 0.2752

P (x = 6) = 7c6 (0.80)^6 (0.20)^2 = 0.3670

P (x = 7) = 7c7 (0.80)^7 (0.20)^1 = 0.2097

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