The average number of bridge construction projects that take place at any one time in a certain state is 7. P (X equals k )space equals space fraction numerator lambda to the power of k e to the power of negative lambda end exponent over denominator k factorial end fraction k space i s space t h e space g i v e n space n u m b e r space o f space e v e n t space o c c u r r e n c e s
lambda space i s space t h e space a v e r a g e space r a t e space o f space e v e n t space o c c u r r e n c e s Using the Poisson distribution formula, what is the probability of exactly 4 bridge construction projects taking place at one time in this state