A particular telephone number is used to receive both voice calls and fax messages. Suppose that 20% of the incoming calls involve fax messages, and consider a sample of 20 incoming calls. (Round your answers to three decimalplaces.)(a) What is the probability that at most 4 of the calls involve a fax message?(b) What is the probability that exactly 4 of the calls involve a fax message?(c) What is the probability that at least 4 of the calls involve a fax message?(d) What is the probability that more than 4 of the calls involve a fax message?

From the provided information, 20% of the incoming calls involve fax messages that is p = 0.2 Sample…

Answered: A particular telephone number is used…

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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Suppose 22% of students at a certain university are out of state students. A professor takes a random sample of 50 students. Let X = the number of out of state students in the sample. a. how many students are expected to be out of state? by how much does this vary? b. what is the probability that 10 will be out of state? c. what is the probability that 10 or fewer will be out of state? d. what is the probability that fewer than 10 will be out of state?
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…
Q1. It is reported that the percentage of people in a small village that have health insurance is 80%. If 17 people are randomly selected, the find the following (a) The probability that 7 of them have health insurance. (b) The probability that at least 10 have health insurance.
A poll is given, showing 30% are in favor of a new building project. If 10 people are chosen at random, what is the probability that fewer than 7 of them favor the new building project?
A recent study has shown that approximately 31.6% of Canadians are considered 'supertasters,' or people who experience the sense of taste with greater intensity than average. Consider a sample of 23 Canadians, each of whom are asked to indicate if they are a supertaster or not. Please use this information to answer the following questions.a. Suppose you know that at least 7 of the Canadians sampled are supertasters. What is the probability that exactly 15 of the Canadians sampled are supertasters?Answer:______________Round to at least FOUR digits after the decimal if necessary. b. What is the probability that the 10th Canadian sampled is the sixth person to indicate that they are a supertaster?Answer:______________Do NOT round your answer; give all the decimals.
a. Assuming that the rate of 23.9% is correct, find the probability that 398 or more of the 1482 adults have sleepwalked. b. Is that result of 398 or more significantly high? c. What does the result suggest about the rate of 23.9%?
Suppose a math class contains 37 students. There are 19 females (six of whom speak Spanish) and 18 males (five of whom speak Spanish). Give all answers as decimals to at least two decimal places.1. What is the probability that a randomly selected student speaks Spanish, given that the student is female? 2. What is the probability that a randomly selected student does not speak Spanish, given that the student is male? 3. What percent of Spanish speaking students are male? 4. If someone does not speak Spanish what is the probability they are female?
A class president is favored by 53% of all students voting, assuming this is accurate, a random sample of 400 students are surveyed. 1. What is the probability that less than 49% will favor this student? 2. What is the probability that more than 57% will favor the student?
According to an airline, flights on a certain route are on time 75% of the time. Suppose 25 flights are randomly selected and the number of on-time flights is recorded. N=25 P=0.75 (c) Find and interpret the probability that exactly 14 flights are on time. (d) Find and interpret the probability that fewer than 14 flights are on time. (e) Find and interpret the probability that at least 14 flights are on time. (f) Find and interpret the probability that between 12 and 14 flights, inclusive, are on time. (c) The probability that exactly 14 flights are on time is ____? (Round to four decimal places as needed.) Interpret the probability. In 100 trials of this experiment, it is expected that about ____ will result in exactly 14 flights being on time. (Round to nearest whole number as needed) (d) The probability that fewer than 14 flights are on time is ____? (Round to four decimal places as needed.) Interpret the probability. In 100 trials of this experiment, it is expected…

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