1. Use the Central Limit Theorem to find the probability of the indicated event, assuming that the distribution of the population data is unknown.

The average wait time before a customer receives service at a bank on Saturdays is 17 minutes, with a standard deviation of 7 minutes. What is the probability that the average wait time for a random sample of 40 customers is over 20 minutes?

P(X>20)=

2. In a growing industry, the mean number of hours of productivity lost by employees per week due to online social media engagement is 9 hours, with a standard deviation of 1.8 hours.

Note: Assume the population data is normally distributed.

a. What is the probability that an employee will lose more than 11 hours of productivity due to online social media engagement? P(X>11)=P(X>11)= b. What is the probability that 12 employees will lose more than 10 hours of productivity due to online social media engagement? P(X>10)=

3. Waiters at a restaurant chain earn an average of $257 per shift (regular pay + tips) with a standard deviation of $34. For random samples of 35 shifts at the restaurant, within what range of dollar values will their sample mean earnings fall, with 95% probability?Round to the nearest cent

4. If it is appropriate to do so, use the normal approximation to the pp^-distribution to calculate the indicated probability: n=60,p=0.40n=60,p=0.40; P(p<0.50)P(p<0.50) =

Enter 0 if it is not appropriate to do so.

5. A study completed in 2018 found that approximately 1 out of every 20 people have walked out of a restaurant without paying the bill (the dine and dash). A random sample of 130 people is collected.

a. What is the probability that more than 10% of them have walked out of a restaurant without paying? P(p>0.1)P(p>0.1) =

b. What is the probability that less than 3% of them have walked out of a restaurant without paying? P(p<0.03)P(p<0.03) =

c. What is the probability that between 5% and 10% of them have walked out of a restaurant without paying? P(0.05