11 The probability that Janice sees a kingfisher on any particular day is 0.3 . She notes the number, \(X\), of days in a week on which she sees a kingfisher.
- State one necessary condition for \(X\) to have a binomial distribution.
Assume now that \(X\) has a binomial distribution.
- Find the probability that, in a week, Janice sees a kingfisher on exactly 2 days.
Each week Janice notes the number of days on which she sees a kingfisher.
- Find the probability that Janice sees a kingfisher on exactly 2 days in a week during at least 4 of 6 randomly chosen weeks.