Approximately 76 of baby boomers aged 43 to 61 are still in

Approximately 76% of baby boomers aged 43 to 61 are still in the workforce (The Boston Globe, July 10, 2008). Six baby boomers are selected at random. What is the probability that exactly one of the baby boomers is still in the workforce? What is the probability that at least the of the baby boomers are still in the workforce? What is the probability that less than two of the baby boomers are still in the workforce? What is the probability that more than the expected number of the baby boomers are still in the workforce?

Solution

Q3

n=6

p=0.76

Binomial distributions used.

Binomial Probabilities

Data

Sample size

6

Probability of an event of interest

0.76

Statistics

Mean

4.56

Variance

1.0944

Standard deviation

1.0461

Binomial Probabilities Table

X

P(X)

0

0.0002

1

0.0036

2

0.0287

3

0.1214

4

0.2882

5

0.3651

6

0.1927

a). P(x = 1) =0.0036

b). P( x >= 5) =0.5578

c). P( x < 2) =0.0038

d).expected number =4.56

p( x > 4.56)

P( x >=5) =0.5578

Binomial Probabilities
Data
Sample size	6
Probability of an event of interest	0.76
Statistics
Mean	4.56
Variance	1.0944
Standard deviation	1.0461
Binomial Probabilities Table
	X	P(X)
	0	0.0002
	1	0.0036
	2	0.0287
	3	0.1214
	4	0.2882
	5	0.3651
	6	0.1927