Question

1. 75% of the passengers buy in-flight meal in a flight from Hong Kong to Singapore. The flight is full and there are twelve passengers. What is the probability that (a) (i) eight passengers in a cabin buys the in-flight meal; (ii) more than 11 passengers in a cabin buys the in-flight meal (iii) less than three passengers in a cabin buys the in-flight meal (b) Find the mean number of passengers in a cabin do not buy the in-flight meal.

2. The number of logins by students to the SOUL system in twelve minutes has a Poisson distribution with mean equals to 9. Find the probability that there are (a) 10 logins in twelve minutes (b) more than 2 logins in a particular 3-minute interval (c) 50 logins in a certain 1-hour period

Answer 1