1. ## Continuous distributions-approximations

Hi,
Can any one help me on part(c) of the following question. I did part(a),(b). Answer for (c) is 8days.
Q) A marina hires out boats on a daily basis. The mean number boats hired per day is 15. Using the normal approximation for a Poisson distribution find for a period of 100 days.
(a) How often 5 or less boats are hired
(b) How often exactly 10 boats are hired
(c) On how many days they will have to turn customers away if the marina owns 20 boats.

2. (c) is done pretty much the same as (a) and (b). Find the probability that the number of boats requested is greater than 20: P(x> 20.5).
Notice that I used the "integer correction". In the Poisson distribution, x must be an integer. In the Normal distribution it can be any real number. We need to use x in the normal distribution that would round to the given integer. Did you do that for (a) and (b)? (a) would be P(x< 5.5), (b) is P(9.5< x< 10.5) and (c) is P(x> 20.5).

3. ## Continuous distributions-approximations

Hi HallsofIvy,
Thanks.
Yes, I did (a) & (b) just the way you've explained.