Question

the 2016 national drug strategy household survey report that 15.6% of australians have used an illicit drug in the last year. if a researcher asks 8 randomly selected people about their use of illicit drugs,what is the probability that 4 or more report having used illicit drugs in the past year?

a. 1.2%

b.50.0%

c.99.7%

d.2.4%

Answer 1

Given p = Probability that Australian have used an illicit drug in last year is 0.156

We select randomly 8 people from Australians i.e.n = 8

Using Binomial distribution

P(4 or more report having used illicit drugs in the past year) is

Required probability is 0.0244 = 2.44%

Correct answer: Option (D) 2.4%