The full joint distribution in Table 1 describes the probabilities of the combinations of vehicle types and vehicle owners. For example, the probability that a vehicle is an SUV and is owned by a person over 50 years old is 0.05. Please use the probabilities in the table below to answer questions 2a — 2c. Age of owner Car Minivan SUV age < 30 0.15 0.05 0.1 30 <= age < 50 0.1 0.15 0.1 age >= 50 0.15 0.15 0.05 1a. Determine the probability that a vehicle owner is under 30 years old. 1b. Determine P (vehicle type = Minivan | age of owner is under 30). 1c. Determine P (vehicle type = SUV ∨ age of owner is over 50).

The full joint distribution in Table 1 describes the probabilities of the combinations of vehicle types and vehicle owners. For example, the probability that a vehicle is an SUV and is owned by a person over 50 years old is 0.05. Please use the probabilities in the table below to answer questions 2a — 2c. Age of owner Car Minivan SUV age < 30 0.15 0.05 0.1 30 <= age < 50 0.1 0.15 0.1 age >= 50 0.15 0.15 0.05 1a. Determine the probability that a vehicle owner is under 30 years old. 1b. Determine P (vehicle type = Minivan | age of owner is under 30). 1c. Determine P (vehicle type = SUV ∨ age of owner is over 50).

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...

See similar textbooks

Related questions

Q: The table below shows the number of deaths in the U.S. in a year due to a variety of causes. For…

A: Given: Various reasons for death has been given in U.S. The objective is to find the probability of…

Q: In certain weather forecast , the chance of a thunderstorm is started as 13 % .Express the indicated…

Q: Over 100 people try to climb mt everest every year. Of those who try to climb everest, 31 percent…

A: The probability that a climber is at least 60 years old is 0.04 The probability that a climber is at…

Q: In a class of students, the following data table summarizes how many students passed a test and…

A: passed the test failed the test total completed the homework 14 2 16 did not completed the…

Q: The probability that it will rain on a given day is 0.23. What is the probability that it will not…

A: The probability that it will rain on a given day is 0.23 P(Rain) = 0.23 We know that , complement of…

Q: The number of trees planted at FRIM is not more than 45 trees a day. The probability that there are…

A: From the information, given thatLet X denotes the number of trees planted in a day

Q: Conditional Probability. On September 3rd, the Italian National Institute of Health published the…

A: Given information: The data represents the counts of 3 categories (Not vaccinated, one-dose vaccine…

Q: A weight loss clinic keeps records of patient attendance at scheduled appointments each year. A…

A: The data is given and we need to answer certain question.

Q: (b) Find the probability that a randomly selected student received a business degree, given that the…

Q: The probability that a patient will have 0,1,2,3 medical tests performed on a hospital is…

A: Given : The prob. that a patient will have 0 , 1 , 2 , 3 medical tests performed on a hospital is…

Q: If the probability of being hit by lightning is 1 in 1,000,000, what is the probability of not…

A: Given that , P (being hit by lightning) = 1/1000000 =0.000001

Q: Below is a distribution of race in the United States from 2014. White= 60.5% Black= 12.5% Hispanic=…

A: Hey, since there are multiple subpart questions posted, we will answer first three subpart…

Q: If the probability that a randomly chosen college student takes statistics is 0.34, then what is the…

A: The probability that a randomly chosen college student takes statistics is 0.34. The probability…

Q: During the 2013 regular NBA season, DeAndre Jordan of the Los Angeles Clippers had the highest field…

A: In the given problem we have given that, During the 2013 regular NBA season, DeAndre Jordan of the…

Q: A local bakary has determined a probability distribution for the number of cheesecakes that they…

A: A probability distribution is an expression that associates each outcome of a statistical experiment…

Q: Standard and Poor's is a financial services company, that, among other things, gives credit ratings…

A: Since you have posted a question with multiple sub-parts, we will solve the first three sub-parts…

Q: please answer part c

Q: In a class of students, the following data table summarizes how many students have a brother or a…

A: Solution

Q: The table below is a legitimate probability model for the number of cars in a randomly-selected…

A: Let , the random variable X be the number of cars in a randomly selected household in the United…

Q: Assuming that these two are Independent, what is the probability of thunderstorms on both Memorial…

A: Concept: If the probability of occurrence of one event is not affected by the probability of…

Q: The local weather forecaster predicts that there is a 12% chance of rain on each day next week.…

Q: The accompanying table shows the numbers of male and female students in a particular country who…

Question

1. The full joint distribution in Table 1 describes the probabilities of the combinations of vehicle types and vehicle owners. For example, the probability that a vehicle is an SUV and is owned by a person over 50 years old is 0.05. Please use the probabilities in the table below to answer questions 2a — 2c.

Age of owner	Car	Minivan	SUV
age < 30	0.15	0.05	0.1
30 <= age < 50	0.1	0.15	0.1
age >= 50	0.15	0.15	0.05

1a. Determine the probability that a vehicle owner is under 30 years old.
1b. Determine P (vehicle type = Minivan | age of owner is under 30).
1c. Determine P (vehicle type = SUV ∨ age of owner is over 50).

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

This is a popular solution!

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Trending now

This is a popular solution!

Step by step

Solved in 2 steps

SEE SOLUTION Check out a sample Q&A here

Similar questions

Suppose you model a game of chance with a discrete probability distribution. Let X be the net amount of money or lost by the player. Let pX be the probability of the corresponding outcome. The three events are as follows: There is a 23% chance the player wins 7 dollars. there is a 38% chance the player loses 4 dollars. there is a 39% chance the player breaks even. COMPLETE THE TABLE BELOW TO MODEL THE SCENARIO X PX)
Obstetrics Suppose that infants are classified as low birthweight if they have a birthweight <2,500 g and as normal birthweight if they have a birthweight 22,500 g. Suppose that infants are also classified by length of gestation in the following five categories: <28 weeks, 28-31 weeks, 32-35 weeks, 36 weeks, and 237 weeks. Assume the probabilities of the different periods of gestation are as given in the table below. Length of gestation Probability <28 weeks 28-31 weeks 32-35 weeks 36 weeks 237 weeks 0.009 0.010 0.052 0.038 0.891 Also assume that the probability of low birthweight is 0.947 given a gestation of <28 weeks, 0.700 given a gestation of 28-31 weeks, 0.433 given a gestation of 32-35 weeks, 0.199 given a gestation of 36 weeks, and 0.030 given a gestation of 237 weeks. (a) What is the probability of having a low birthweight infant? (Round your answer to four decimal places.) (b) Show that the events (length of gestation ≤ 31 weeks) and (low birthweight} are not independent.…
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.
On average dog bite victims arrive at Carver Memorial Hospital at a rate of 2 victims per day. Which probability distribution is most nearly appropriate to describe the number of dog bite victims who arrive at this hospital on a given day?
Obstetrics Suppose that infants are classified as low birthweight if they have a birthweight <2,500 g and as normal birthweight if they have a birthweight 22,500 g. Suppose that infants are also classified by length of gestation in the following five categories: <28 weeks, 28-31 weeks, 32-35 weeks, 36 weeks, and 237 weeks. Assume the probabilities of the different periods of gestation are as given in the table below. Length of gestation <28 weeks Probability. 0.006 0.010 28-31 weeks 32-35 weeks 36 weeks 0.035 237 weeks 0.900 The following conditional probabilities are given: assume that the probability of low birthweight is 0.948 given a gestation of <28 weeks, 0.700 given a gestation of 28-31 weeks, 0.432 given a gestation of 32-35 weeks, 0.202 given a gestation of 36 weeks, and 0.028 given a gestation of 237 weeks. (a) What is the probability of having a low birthweight infant? (Round your answer to four decimal places. Hint: Use the Law of Total Probability.) 0.06612 0.049 (b) Show…
2) The probability that a randomly selected student is female given that the student received a business degree, is
sorry, here is more to the question I posted. Find the probability that none of the households are tuned to CSI: Shoboygan.P(none) = Find the probability that at least one household is tuned to CSI: Shoboygan.P(at least one) = Find the probability that at most one household is tuned to CSI: Shoboygan.P(at most one) =
The table below shows the number of deaths in the U.S. in a year due to a variety of causes. For these questions,assume these values are not changing from year to year, and that the population of the United States is 312 millionpeople. Cause of Death in US Cause Number of deaths Passenger car occupant 13,100 Motorcycle driver 4,500 Tornado 553 Skydiving 56 What is the probability that you died as a passenger car occupant last year?