Read Analyze and solve the following problems.

Use a bond paper or whole pad paper to show your computation.

Use this format to earn points credit for each item.

a. Given

b. Formula and substitution

c. Solution

d. Answer 1. A soda machine dispenses soda 12-ounce cups. Test shows that the actual amount of soda dispensed is normally distributed with a mean of 11.05 oz and a standard deviation of 0.2 oz

a) What percent of cups will receive less than 11.25 oz of soda?

b) What percent of cups will receive between 11.2 oz and 11.55 oz of soda?

c) If a cup is filled at random, what is the probability that the machine will overflow the cup?

2. The score in a test conducted to 500 students are normally distributed with a mean of 110 and a standard deviation of 6. How many students got a score below 102?

3 The average waiting time to be seated for dinner at a popular restaurant is 23. 5 minutes, with a standard deviation of 3.6 minutes Assume the variable is normally distributed. When a patron arrives for the dinner, find the probability that the patron will have to wait between 15 and 22 minutes.