The university police department must write, on average, five tickets per day to keep department revenues at budgeted levels. Suppose the number of tickets written per day follows a Poisson distribution with a mean of 7.5. Find the probability that fewer than six tickets

Step-by-step explanation:

The university police department must write, on average, five tickets per day to keep department revenues at budgeted levels. Suppose the number of tickets written per day follows a Poisson distribution with a mean of 7.5. Find the probability that fewer than six tickets

Poisson Distribution

P = λ^k × e^-λ/k!

λ is the average of events

e is the euler's number

k is the number of events you want to know the probability

P(<6) = λ^k × e^-λ/k!

= 7.5^5 × e^-7.5/5! + 7.5^4 × e^-7.5/4! + 7.5^3 × e^-7.5/3! + 7.5^2 × e^-7.5/2! + 7.5^1 × e^-7.5/1!+ 7.5^0 × e^-7.5/0!

= 0.1093745947 + 0.0729163965 + 0.0388887448 + 0.0155554979 +0.0041481328 + 0.0005530844

false

step-by-step explanation:

whenever we assume a point on a plane then according to geometry it will definitely have 2 dimensions and if it assumed in space then it will have 3 dimensions.

he used the algebra tiles correctly.

step-by-step explanation:

given : 3x(2x-1)

solution :

since he used algebra tiles .

armando's solution is the same in the solution shown in figure

as he distributed 2x into x and x and wrote them vertically

and also write   -1 vertically

and 3x into x and x and x and wrote it horizontally

performing the multiplication in the algebra tiles we get

and solving the given expression :

3x(2x-1)

since solving the expression using tiles   and solving the expression algebraically we get the same answer

thus   we can choose the first statement as the answer to this problem which is "he used the algebra tiles correctly".