Question

A rainstorm in Portland, Oregon, has wiped out the electricity in about 5% of the households in the city. A management team in Portland has a big meeting tomorrow, and all 6 members of the team are hard at work in their separate households, preparing their presentations. What is the probability that none of them has lost electricity in his/her household? Assume that their locations are spread out so that loss of electricity is independent among their households. Round your response to at least three decimal places. (If necessary, consult a list of formulas.)

Answer 1

Answer:

Binomial distribution because:

Trials are Bernoulli (affected or not)

Probability is known (p=0.05) and remains constant for all trials.

Number of trials is known (n=6).

P(x)=C(n,x)p^x*(1-p)^(n-x)

x=0 =>

P(0)=C(6,0)(0.05^0)(0.95^6)

=0.7351.... (approximately)