Edexcel S2 2018 June — Question 1

Exam BoardEdexcel
ModuleS2 (Statistics 2)
Year2018
SessionJune
TopicBinomial Distribution
TypeDirect binomial probability calculation

  1. A salesman sells insurance to people. Each day he chooses a number of people to contact. The probability that the salesman sells insurance to a person he contacts is 0.05
On Monday he chooses to contact 10 people.
  1. Find the probability that on Monday the salesman sells insurance to
    1. exactly 1 person,
    2. at least 3 people.
  2. Find the number of people he should contact each day in order to sell insurance, on average, to 3 people per day.
  3. Calculate the least number of people he must choose to contact on Friday, so that the probability of selling insurance to at least 1 person on Friday exceeds 0.99