SOLUTION: It has been observed that in any given hour 36 people cross a street. As a result, what is the probability that in any given 10 minute period: a. More than 3 people cross the str

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Question 822265: It has been observed that in any given hour 36 people cross a street. As a result, what is the probability that in any given 10 minute period:
a. More than 3 people cross the street?
b. Exactly 4 people cross the street?
c. 6 or fewer people cross the street?
d. 2 or more people cross the street?
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  = 6   P(x = 4) = e%5E%28-6%29%286%5E4%29%2F4%21 

It has been observed that in any given hour 36 people cross a street (6 in ten minutes)

Using Ti Calculator functions:

a. More than 3 people cross the street? Ti: 1- poissioncdf(6, 3)

b. Exactly 4 people cross the street? poissionpdf(6, 4) 0r P =e%5E%28-6%29%286%5E4%29%2F4%21  

c. 6 or fewer people cross the street? poissioncdf(6, 6)

d. 2 or more people cross the street? 1- poissioncdf(6, 1)