Arrivals at a fast-food restaurant follow a poisson distribution with a mean arrival rate of 16 customers per hour. what is the probability that in the next hour there will be exactly 9 arrivals?
a. 0.7500
b. 0.1322
c. 0.
d. 0.0213
e. none of the above

d. 0.0213

Step-by-step explanation:

Given : Mean arrival rate = 16 customers per hour.

The Poisson distribution formula is given by :-

,where is the mean of the distribution.

If X = the number of customers arrivals , then the probability  that in the next hour there will be exactly 9 arrivals will be :-

Hence, the probability that in the next hour there will be exactly 9 arrivals= 0.0213

Therefore , the correct answer is option (d.).

d

step-by-step explanation:

d

step-by-step explanation:

i think something is missing in your question because y-1=(x-12) would not pass through the point (-4,-3). because if you replace x by -4 your are supposed to find y=-3 which is not the case her. if you replace x by -4 you find =-15.

i assume the right equation is y-1=1/4*(x-12) because this one is passing through both your points (if you are interested to know how i found that out i can tell you).

in this equation if i replace x by -4 i find y=-3 and if i replace x by 12, i find y=1 so the line representing this equation is passing through those 2 points.

then the standard form of the equation is finding an expression of y in function of x

y-1=1/4*(x-12)

y=x/4-3+1

y=x/4-2

hope that .

do you confirm there was a mistake in the question?