4. A telemarketer is paid $10 for each sale she makes. The probability thatany call she makes results in a sale is 0.4.(a) What is the probability that she made at most 6 calls to earn $10?(b) What is the probability that she made exactly 6 calls to earn $30?(e) What is the probability that she made at least 6 calls to earn $30?MAT 263Assignment 1 Page 3 of 3Probability Theory(d) If she made 6 calls per hour, what is the probability that she earned$80 in two hours?(e) Explain the relationship (i.e the similarity and the difference) be-tween Binomial and Negative binomial distributions.

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Answered: 4. A telemarketer is paid $10 for each…

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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Assume that A and B are independent events. The probability of event A is 0.38 while the probability of event B is 0.77. Assume that you observe that event B has occurred, what is the probability of event A? Submit your answer to the second decimal point, that is, 0.32 instead of 0.3.
Suppose that the probability that a child living in an urban area in the United States is obese is 20%. If a social worker sees 15 children living in urban areas, what is the probability that 5 are obese? Enter response as .xxxx
An orthopedic surgeon’s records show that she called to the hospital to set an average of 3 broken legs per day. What is the probability that she will set: a. 5 broken legs during a particular day? b. at least 4 broken legs during a particular day? c. at most 2 broken legs during a particular day?
QUESTION 2 a) Based on the past data, 8% of customers will order a dessert with the meal at a noodle's restaurant. 14% of them will order a bottled beverage. i. What is the probability that a customer will order both a dessert and a bottled average? (2 marks) ii. The customers have ordered a dessert with the meal. Calculate the probability that he or she will order a bottled beverage. (2 marks) b) The Graduate Management Admission Test (GMAT) is a requirement for all applicants of MBA programs. A variety of preparatory courses are designed to help applicants improve their GMAT scores, which range from 200 to 800. Suppose that a survey of MBA students reveals that among GMAT scorers at least 650, 72% took a preparatory course; whereas among GMAT scores of less than 650 only 31% took a preparatory course. The probability for an applicant to score at least 650 is 30%. Suppose he was not taking the preparatory course. What is his probability of achieving 650 or more for GMAT score? (5…
Exhibit 5-10The probability that Pete will catch fish on a particular day when he goes fishing is 0.8. Pete is going fishing 3 days next week. Refer to Exhibit 5-10. The expected number of days Pete will catch fish is?
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b. A fisherman catches, on average three fish in an hour. I. Find the probability that a fisherman catches less than three fishes in 45 minutes. II. Find the probability that a fisherman catches at least eight fishes in two hours. III. Find the probability that a fisherman catches greater than ten fishes in 110 minutes. IV. Find the probability that time between catching two fishes is at most 35 minutes
2) The probability that a randomly selected student is female given that the student received a business degree, is
B. Two air force helicopters have a mission to strike and shoot a target in enemy land, the probability that the first pilot hit the target is (1/2), the probability that the second pilot hit the target is (1/4). What the probability that a. The first and second pilot shoot the target? b. One of them shoot the target?
It has been observed that the average number of accidents that occur on an assembly line is 3 per week. Find the probability that: i. A particular week will be accident free. ii. At least three (3) accidents will occur in a week. iii. Exactly five (5) accidents will occur in two week
The probability that a child will like a new flavor of ice cream is 0.72. In a group of nine children find the probability that at least 7 children like the new flavor.

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