The number of accidents (𝐴) at an intersection is counted for a 12-hour period. The number of accidents follows a Poisson distribution with a parameter value of 2.

The number of accidents (𝐴) at an intersection is counted for a 12-hour period. The number of accidents for a 12-hour period follows a Poisson distribution with a parameter value of 2.Calculate P(A=5)

The number of accidents (𝐴) at an intersection is counted for a 12-hour period. The number of accidents follows a Poisson distribution with a parameter value of 2.Calculate the expected number of accidents per week.

2. The number of accidents (A) at an intersection is counted for a 12-hour period. The number of accidents follows a Poisson distribution with a parameter value of 3.5. (Round to 3 decimal places and use a point-not a comma).Calculate the following:a. 𝑃(𝐴 = 1) Blank 1b. 𝑃(𝐴 < 5) Blank 2c. 𝑃(𝐴 > 0) Blank 3d. 𝑃(0 < 𝐴 ≤ 3) Blank 4e. The probability that there will be 4 accidents in a 24-hour period Blank 5f. The expected number of accidents per week. Blank 6g. Let 𝐵=number of hours in a 12-hour cycle that there are no accidents. Calculate the probability that for 8 hours in the 12-hour cycle there will be no accidents. Blank 7

The following tables gives the number of days in a 50 days period during which an automobile accident occurs in a cityNo. of accident: 0 1 2 3 4No. of days: 21 18 7 3 1Find the Poisson distribution and calculate the Theoretical frequency

Let 𝐵 = the number of hours in a 12-hour cycle in which there are no accidents.Let 𝐶 =number of accidents in one hour.Calculate the probability that there will be no accidents for 9 hours in the 12-hour cycle.