Please review Section 5.3. Solve the following five problems showing work, using the Poisson Distribution formula

P(X = x|) = e^{- x}

x! Where. . . .

P(X = x|) = events in an area of opportunity = expected number of events per unit

e = mathematical constant approximated by 2.71828

x = number of events (x =0, 1, 2, . . .)

1. Let = 6.0, find P(X 2). (Round to three decimal places) 2.Let = 0.3, find P(X 1). (Round to three decimal places) 3. Let = 2.0, find P(X 3). (Round to three decimal places) 4. Let = 3.7, find P(X 2). (Round to three decimal places) 5. Let = 5.2, find P(X 2). (Round to three decimal places)