According to Bureau of Labor Statistics, 22.1% of the total part-time workforce in the U. S. was between the ages of 25 and 34 during the 3 rd quarter of 2011. A random sample of 80 part-time employees was selected during this quarter. Using the normal approximation to the binomial distribution, what is the probability that fewer than 20 people from this sample were between the ages of 25 and 34?

The  probability is  

Step-by-step explanation:

From the question we are told that

     The proportion of  total part-time workforce is  

     The  sample  size is  n  =  80  

Generally the mean is mathematically represented as

The  proportion of not part - time   workforce

=>  

=>  

The  standard deviation is mathematically represented as

Now  applying the normal approximation,

Then the  probability that fewer than 20 people from this sample were between the ages of 25 and 34 is mathematically represented as

Applying  continuity correction

Generally

So  

From the z-table  

The probability is  

the answer is c. 23/3

180

step-by-step explanation: