Posted by **aaron** on Sunday, October 18, 2009 at 10:30pm.

The unemployment rate is 5.8% (Bureau of Labor Statistics, April 3, 2003). Suppose that 100 employable people are selected randomly.

1)What is the probability that exactly six people are unemployed (to 4 decimals)?

2)What is the probability that exactly six people are unemployed (to 4 decimals)?

3)What is the probability that at least four people are unemployed (to 4 decimals)?

- statistics math -
**economyst**, Monday, October 19, 2009 at 11:44am
An excel spreadsheet is very helpful

for these kinds of calculations.

You could calculate these pobabilities directly. Or, you could use a poisson distribution. I'll use a Poisson here.

the formula for the poisson is

P(k;l) = (l^k)*e^(-l) / k!

where l is the expected number = 5.8

and k is the observed number.

so for 1 (and 2, they are identical)

P(k;l) = 5.8^6 *e^(-5.8) / (1*2*3*4*5*6)

= .16

take it from here.

- statistics math -
**Anonymous**, Monday, November 5, 2012 at 9:08pm
klkkl

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