For all four of these questions, a small monster collector has captured ten Bagel-type small monsters.  Each Bagel-type small monster has a 35% chance of being a Sesame Seed-subtype and a 20% chance of being a Whole Wheat-subtype.

1. What is the probability of exactly eight of the captured small monsters being Whole Wheat-subtypes?

2. What is the probability of at least one of the captured small monsters being a Sesame Seed-subtype?

3. What is the probability that there are no Sesame Seed- or Whole Wheat-subtype small monsters captured?

4. What is the probability that are at least two Whole Wheat/Sesame Seed dual-subtype small monsters captured?

[URGENT] An Uber driver only provides service in city A and city B dropping off passengers and imme-

diately picking up a new one at the same spot. He finds the following Markov dependence.

For each trip, if the driver is in city A, the probability that he has to drive passengers to

city B is 0.25. If he is in city B, the probability that he has to drive passengers to city A

is 0.45.

(a) What is the 1-step transition matrix? (Let 1 = City A and 2 = City B)

(b) After many trips between the two cities, what is the probability he will be in city B?

(c) Suppose he is in city B, what is the probability he will be in city A after two trips?

A study discovered that Americans consumed an average of 12.3 pounds of chocolate per year. Assume that the annual chocolate consumption follows the normal distribution with a standard deviation of 3.2 pounds.

a. What is the probability that an American will consume less than 9 pounds of chocolate next? year?

?(Round to four decimal places as? needed.)

b. What is the probability that an American will consume more than 11 pounds of chocolate next? year?

c. What is the probability that an American will consume between 10 and 13 pounds of chocolate next? year?

d. What is the probability that an American will consume exactly 12 pounds of chocolate next? year?

e. What is the annual consumption of chocolate that represents the 80th percentile?

7. A consulting firm has received 2 Super Bowl playoff tickets from one of its clients. To be fair, the firm is randomly selecting two different employee names to "win" the tickets. There are 8 secretaries, 7 consultants and 5 partners in the firm. Which of the following statements is not true? A) The probability of a secretary winning a ticket on the first draw is 8/20. B) The probability of a secretary winning a ticket on the second draw given that a consultant won a ticket on the first draw is 7/19. C) The probability of a consultant winning a ticket on the first draw is 7/20. D) The probability of a partner winning a ticket on the second draw given that a secretary won a ticket on the first draw is 5/19.

A survey indicates that for each trip to the Target store, a shopper spends an average of 25 minutes with a standard deviation of 14 minutes in the store. The length of time spent in the store is normally distributed and is represented by the variable x. A shopper enters the store. Find the probability that the shopper will be in the store for between 25 and 50 minutes. Probability that the shopper will be in the store for between 25 and 50 minutes. P = _________ Find the probability that the shopper will be in the store less than 25 minutes. distribution P = _________ Find the probability that the shopper will be in the store more than 30 minutes. distribution. P = _________ If 200 shoppers enter the store, how many shoppers would you expect to be in the store more than 40 minutes? Shoppers = _________

Consider the 1981 Super Bowl commercial from Schlitz involving a live taste test (Links to an external site.). Schlitz sponsored a live taste test for its beer during the half time of the 1981 Super Bowl. Suppose that a taste tester preferring Schlitz is considered a success which occurs with probability .4. In a sample of 80 what is the probability that 40 or more will choose Schlitz as the best beer?

Consider the 1981 Super Bowl commercial from Schlitz involving a live taste test. Suppose that a taste tester preferring Schlitz is considered a success which occurs with probability .45. In a sample of 250 what is the probability that 100 or more will choose Schlitz as the best beer?  

A foreman for an injection-molding firm admits that on 9% of his shifts, he forgets to shut off the injection machine on his line. This causes the machine to overheat, increasing the probability that a defective molding will be produced during the early morning run from 1% to 19%.

Let F = forgets to shut off the injection machine and D = defective.

Use a probability tree to answer the following questions:

(Round all answers to four decimals)

a) What’s the probability a molding from the early morning run is defective?

b) The plant manager randomly selects a molding from the early morning run and discovers it is defective. What is the probability that the foreman forgot to shut off the machine the previous night?

1. Assume that daily TV viewing is normally distributed and has a mean of 8 hours per household with a standard deviation of 2 hours. Find the following probabilities:

1. Probability that a randomly selected household views TV more than 10 hours a day, i.e. P( x > 10)
2. Probability that a randomly selected household views TV more more than 11 hours a day, i.e. P(x > 11)
3. Probability that a randomly selected household views TV less than 3 hours a day, i.e. P(x < 3)
4. Probability that a randomly selected household views TV between 10 and 12 hours a day, i.e. P( 10 < x < 12)