Exam
Name___________________________________

SHORT ANSWER.  Write the word or phrase that best completes each statement or answers the question. 

Provide an appropriate response. 

1) 

In a recent survey, 83% of the community favored building a police substation in their neighborhood. You randomly select 16 citizens and ask each if he or she thinks the community needs a police substation.
Decide whether you can use the normal distribution to approximate the binomial distribution. If so, find the mean and standard deviation. If not, explain why. 

1)  

_____________ 

2) 

A recent survey found that 72% of all adults over 50 wear glasses for driving. You randomly select 33 adults over 50, and ask if he or she wears glasses. Decide whether you can use the normal distribution to approximate the binomial distribution. If so, find the mean and standard deviation, If not, explain why. 

2)  

_____________ 

3) 

According to government data, the probability than an adult was never married is 19%. You randomly select 49 adults and ask if he or she was ever married. Decide whether you can use the normal distribution to approximate the binomial distribution, If so, find the mean and standard deviation, If not, explain why. 

3)  

_____________ 

4) 

Decide if it is appropriate to use the normal distribution to approximate the random variable x for a  binomial experiment with sample size of n = 5 and probability of success p = 0.3. 

4)  

_____________ 

5) 

Decide if it is appropriate to use the normal distribution to approximate the random variable x for a  binomial experiment with sample size of n = 48 and probability of success p = 0.6. 

5)  

_____________ 

6) 

Decide if it is appropriate to use the normal distribution to approximate the random variable x for a  binomial experiment with sample size of n = 25 and probability of success p = 0.2 

6)  

_____________ 

 

1) 

cannot use normal distribution, nq = (16)(0.17) = 2.72 < 5 

2) 

use normal distribution, μ = 23.76 and σ = 2.58. 

3) 

use normal distribution, μ = 9.31 and σ = 2.75. 

4) 

cannot use normal distribution 

5) 

can use normal distribution 

6) 

can use normal distribution