Question

On averago, 5 traffic accidents per month occur at a certain intersection. Complete parts (a) through (c) below. Click here to view the table of Poisson probability sums (a) What is the probability that exactly 6 accidents will occur in any given month at this intersection? The probability that exactly 6 accidents will occur in any given month at this intersection is 0.1462 (Round to four decimal places as needed.) (b) What is the probability that fewer than 5 accidents will occur in any given month at this intersection? The probability that fewer than 5 accidents will occur in any given month at this intersection is (Round to four decimal places as needed.)

Answer 1

XCMaler) 96,60,64,6484 given. aingpoissan pmbability ९.2९ ఉ 1462 he paraabilitythat y s occas in any yont} a s nterseoेाब 01462 accident oillo iven

b) Probability fewer than 5 occurrences includes X-values of X=0,1,2,3,4.

Therefore,

P(X<5)= P(0)+P(1)+P(2)+P(3)+P(4)

=0.0067+0.0337+0.0842+0.01404+0.1755

P(X<5)= 0.4405

The probability that fewer than 5 accidents will occur in any given month at this intersection is 0.4405