6. Market research has shown that 90% of Summer Cruise customers are satisfied with their service. A random sample of 13 persons were sampled. a) Calculate the probability that at most 2 customers are satisfied with their service. b) If 450 customers were sampled, determine the number expected to be satisfied with their service.
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- The following table shows the results of a survey conducted by Impulse Research for the Downtown Cookie Company. In the survey, 1050 adults were asked to identify their favorite cookie. a. b. Favorite Cookie Chocolate chip Peanut butter Oatmeal Sugar/shortbread Other Total Frequency 483 231 147 126 63 1050 Determine the probability distribution. What is the probability of selecting a person whose favorite cookie was chocolate chip? C. What is the probability of selecting a person whose favorite cookie was not chocolate chip? d. What is the probability of selecting a person whose favorite cookie was chocolate chip or a person whose favorite cookie was peanut butter?Suppose Eman has an 85% chance of passing each time he takes a quiz. What is the probability that he passes on the first three quizzes but not on the fourth?Refer to Table 3.10.What is the joint probability of “low income” and “regular”?
- Question 6 A survey of a sample of business students resulted in the following information regarding the genders of the individuals and their selected major. Management Marketing Others Total Gender Male 30 80 Female 70 120 Total 100 200 40 30 70 Selected Answer: 0.5 10 20 30 What is the probability of selecting an individual who is majoring in Management and Marketing? P(Management Marketing)? Assume no double-majors.In the game of blackjack as played in casinos in Las Vegas, Atlantic City, and Niagara Falls, as well as in many other cities, the dealer has the advantage. Most players do not play very well. As a result, the probability that the average player wins a hand is about 45%. Find the probability that an average player wins. a.Twice in 5 hands. b. Ten or more times in 25 hands. Arrivals 0 1 2 3 4 5 6 7 8 Frequency 14 31 47 41 29 21 10 5 21 A car dealer has established that 40% of his potential customers prefer single cab cars while 60% prefer double cab cars. From a recent survey among his existing clients, he obtained additional information which indicates that 15% of clients who bought single cab cars prefer air conditioning while 65% of clients who bought double cars prefer air conditioning.Required:a) What is the probability that a client who bought a single cab does not prefer air conditioning? (5)b) What is the probability that a client prefers a double cab with air conditioning?
- A market research firm is interested in surveying certain attitudes in a small community. There are 125 households broken down according to income, ownership of a telephone or ownership of a T.V. Household with monthly Household with monthly 8.000 income of " 8,000 or less Telephone Subscriber income above No Telephone Telephone SubsNcriber No. Telephone Own 7V. set 27 20 18 10 No. T.V. set 18 10 12 10 (i) What is the probability of obtaining of a TV. owner in drawing at random ? (ii) If a household has monthly income over Rs. 8,000 and is a telephone subscriber, what is the probability that it has a T.V. ? (iii) What is the conditional probability of drawing a household that owns a T.V., given that the household is a telephone subscriber ? (iv) Are the events 'ownership of a T.V.' and 'telephone subscriber statistically independent ? Comment.The probabilities of X, Y and Z becoming managers are 4/9, 2/9 and 1/3 respectively. The probabilities that the Bonus Scheme will be introduced if X, Y and Z becomes managers are 3/10, 1/2, and 4/5 respectively. (i) What is the probability that Bonus Scheme will be introduced, and (ii) if the Bonus Scheme has been introduced, what is the probability that the manager appointed was X ?According to the U.S. Bureau of the Census, about 75% of commuters in the United States drive to work alone. Suppose 150 U.S. commuters are randomly sampled. (a) What is the probability that fewer than 105 commuters drive to work alone?(b) What is the probability that between 116 and 126 (inclusive) commuters drive to work alone?(c) What is the probability that more than 96 commuters drive to work alone?
- a) For a group of 300 cars the numbers, classified by colour and country of manufacture, are shown in the table. Black Silver White Korea 33 34 35 Japan 23 9 24 America 16 25 34 Germany 19 16 32 One car is selected at random from this group. Find the probability that the selected car is (i) Is Silver car from Germany (ii) a black or white car manufactured in Korea. (iii) not manufactured in Japan. (iv) is a white car, given that it was manufactured in America. (v) Are the events 'Korea' and 'Black' Mutually Exclusive? Justify your response.A class consists of 17 women and 65 men. If a student is randomly selected, what is the probability that the student is a woman?Question 3 a) Grace Floral Shop sells several types of roses for all occasions. It is known that 43% of (i) (ii) (iii) the roses that is sold by Grace Floral Shop are Eden Roses. 12 roses are ordered to put in a bouquet Stating its parameter(s), what is the probability distribution of this variable? State the conditions that influence your choice of distribution. Calculate the probability that at most 2 of the roses were Eden Roses. b) The number of telephone calls coming into Grace Floral Shop to place orders averages 3 per minute. (i) (ii) Stating its parameter(s), what is the probability distribution of this variable? Compute the probability that 5 calls will arrive per minute. (iii) Compute the probability that 3 or more calls will arrive in a 3-minute interval?