Question

DIRECTIONS: SHOW ALL WORK!! A final response following a calculation should be a sentence. Place a box around your final response. Round probability calculations to 4 decimal places. Round other numerical results including percents to two decimal places (e.g. 2.56 shoes, 18.49%).

Answer 1

3)

poisson probability distribution

P(X=x) = e-λλx/x!

a)

Mean/Expected number of events of interest: λ =                0.3

P ( X =    0   ) = e^-0.3*0.3^0/0!=   0.7408

............

b)

X	P(X)
0	0.7408
1	0.2222

p(x<2)= 0.7408+0.222

=0.9628

........................

c)

Mean/Expected number of events of interest: λ =                3.6

X	P(X)
0	0.0273
1	0.0984
2	0.1771
3	0.2125
4	0.1912
5	0.1377
6	0.0826
7	0.0425

p(x>7) = 1 - 0.9692

=0.0308

.................

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