SOLUTION: During a typical one-hour lunch period 28 people go to a local deli. During a randomly chosen 15 minute period, what is the probability that: a. Only 6 people go to the deli? b

Algebra ->  Probability-and-statistics -> SOLUTION: During a typical one-hour lunch period 28 people go to a local deli. During a randomly chosen 15 minute period, what is the probability that: a. Only 6 people go to the deli? b      Log On


   

Question 822312: During a typical one-hour lunch period 28 people go to a local deli. During a randomly chosen 15 minute period, what is the probability that:
a. Only 6 people go to the deli?
b. More than 12 people go to the deli?
c. At most 10 people go to the deli?
d. No more than 5 people go to the deli?

Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!
 

Hi,

POISSON Distribution P(x; μ) = (e^(-μ) (μ^x) / x! where  μ  is the average number of successes  

x is the actual number of successes that result from the experiment, e  approximately equal to 2.71828. 

for ex: μ  = 7   P(x = 6) = e%5E%28-7%29%287%5E6%29%2F6%21 

During a typical one-hour lunch period 28 people go to a local deli. (7 during 15 minutes)

During a randomly chosen 15 minute period,what is the probability that:

Using Ti Calculator functions for cumulative probabilities: use poissioncdf(u,x)

a. Only 6 people go to the deli?e%5E%28-7%29%287%5E6%29%2F6%21 0r Ti: poissionpdf(7, 6)

 b. More than 12 people go to the deli? Ti: 1- poissioncdf(7, 11)

 c. At most 10 people go to the deli? poissioncdf(7, 10)

 d. No more than 5 people go to the deli? poissioncdf(7, 5)