Binomial distributions

Question 1

when can you use binomial distribution

Answer 1

1. fixed number of trials
2. the trials are independent of each other
3. at each trail, the event is either a success or fail
4. the probability of success is fixed

Question 2

P(X < r)

Answer 2

P(X <_ r-1)

Question 3

P(y < X < r)

Answer 3

P(X <_ r-1) - P(X <_ y-1)

Question 4

P(X > r)

Answer 4

1 - P(X <_ r)

Question 5

P(X >_ r)

Answer 5

1 - P(X <_ r-1)