1. 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 = 6 and probability of success p = 0.1.

2. Ten percent of the population is left-handed. A class of 100 students is selected. Convert the binomial probability P(x > 12) to a normal probability by using the correction for continuity.
a. P(x ≥ 11.5)
b. P(x > 12.5)
c. P(x < 11.5)
d. P(x ≤ 12.5)

3. An airline reports that it has been experiencing a 15% rate of no-shows on advanced reservations. Among 150 advanced reservations, find the probability that there will be fewer than 20 no-shows.
a. 0.3187
b. 0.7549
c. 0.7967
d. 0.2451

4. In a recent survey, 83% of the community favored building a police substation in their neighborhood. You randomly select 18 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.