Answer using the excel formulas:

1. 35% of all customers who enter a restaurant will order dessert. Suppose that 10 customers enter the restaurant and these customers make independent decisions. Required: n p

a) Calculate the probability that exactly five customers order dessert.

b) Calculate the probability that at least three customers order dessert.

c) Calculate the probability that two or fewer customers order dessert.

d) Calculate the probability that at least one customer order dessert.

e) Calculate the expected number of customers that order dessert.

f) Suppor Management will pay the waiter an additional $2 for each dessert order they serve. Calculate the expected additional income.

2. It is becoming more common for college students to change their majors throughout their college career. A recent survey revealed that 70% college students have changed their majors at least once. A random sample of 10 independent college students is taken, and the number of students who have changed majors at least once is recorded. Required: n p a. What is the expected number of randomly selected students who have changed majors? b. What is the variance of number of students who have changed majors? c. What is the probability that exactly two of the randomly selected students have changed majors? d. What is the probability that at least two of the randomly selected students have changed majors? e. What is the probability that no more than five of the randomly selected students have changed majors? f. What is the probability that between two and seven (inclusive) of the randomly selected students have changed majors? g. What is the probability that more than seven of the randomly selected students have changed majors?

3. Science-Fiction books have become popular with children and adults alike. A recent survey revealed that 62 percent high school students have read a Science-Fiction book. A random sample of 13 independent high school students is taken, and the number of students who have read a Science-Fiction book is recorded. Required: n p a. What is the expected number of randomly selected students who have read a Science-Fiction book? b. What is the variance of number of students who have read a Science-Fiction book? c. What is the probability that exactly two of the randomly selected students have read a Science-Fiction book? d. What is the probability that at least two of the randomly selected students have read a Science-Fiction book? e. What is the probability that no more than five of the randomly selected students have read a Science-Fiction book? f. What is the probability that between two and seven (inclusive) of the randomly selected students have read a Science-Fiction book? g. What is the probability that more than seven of the randomly selected students have read a Science-Fiction book?