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 marks) c) Diane Bruns is the mayor of a large city. Lately, she has become concerned about the possibility that large numbers of people who are drawing unemployment checks are secretly employed. Her assistant estimates that 40 percent of unemployment beneficiaries fall into this category. She asks her assistant to conduct a quiet investigation of ten randomly selected unemployment beneficiaries. i. What is the probability which at least eight of the individuals are secretly employed? (3 marks) ii. Find the mean and standard deviation of the individuals who are secretly employed. (2 marks) d) A company that sells annuities must base the annual pay-out on the probability distribution of the length of life of the participants in the plan. Suppose the probability distribution of the lifetimes of the participants follows a normal distribution with a mean of 68 years and a standard deviation of 3.5 years. i. What is the probability of the plan recipients die before they reach the standard retirement age of 60? (3 marks) ii. Find the age at which payments have ceased for approximately 85% of the plan participants. (3 marks)
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 marks) c) Diane Bruns is the mayor of a large city. Lately, she has become concerned about the possibility that large numbers of people who are drawing unemployment checks are secretly employed. Her assistant estimates that 40 percent of unemployment beneficiaries fall into this category. She asks her assistant to conduct a quiet investigation of ten randomly selected unemployment beneficiaries. i. What is the probability which at least eight of the individuals are secretly employed? (3 marks) ii. Find the mean and standard deviation of the individuals who are secretly employed. (2 marks) d) A company that sells annuities must base the annual pay-out on the probability distribution of the length of life of the participants in the plan. Suppose the probability distribution of the lifetimes of the participants follows a normal distribution with a mean of 68 years and a standard deviation of 3.5 years. i. What is the probability of the plan recipients die before they reach the standard retirement age of 60? (3 marks) ii. Find the age at which payments have ceased for approximately 85% of the plan participants. (3 marks)
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
Related questions
Question
Transcribed Image Text: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 marks)
c) Diane Bruns is the mayor of a large city. Lately, she has become concerned about
the possibility that large numbers of people who are drawing unemployment checks
are secretly employed. Her assistant estimates that 40 percent of unemployment
beneficiaries fall into this category. She asks her assistant to conduct a quiet
investigation of ten randomly selected unemployment beneficiaries.
i. What is the probability which at least eight of the individuals are secretly
employed?
(3 marks)
ii. Find the mean and standard deviation of the individuals who are secretly
employed.
(2 marks)
d) A company that sells annuities must base the annual pay-out on the probability
distribution of the length of life of the participants in the plan. Suppose the
probability distribution of the lifetimes of the participants follows a normal
distribution with a mean of 68 years and a standard deviation of 3.5 years.
i. What is the probability of the plan recipients die before they reach the standard
retirement age of 60?
(3 marks)
ii. Find the age at which payments have ceased for approximately 85% of the
plan participants.
(3 marks)
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