According to a study by Dr. John McDougall of his live-in weight loss program, the people who follow his program lose between six and 15 pounds a month until they approach trim body weight. Let’s suppose that the weight loss is uniformly distributed. We are interested in the weight loss of a randomly selected individual following the program for one month. 1). Find the probability that the individual lost more than ten pounds in a month. 2). Suppose it is known that the individual lost more than ten pounds in a month. Find the probability that he lost less than 12 pounds in the month. 3). P(7 < x < 13|x > 9) = __________. State this in a probability question, draw the picture, and find the probability.

According to a study by Dr. John McDougall of his live-in weight loss program, the people who follow his program lose between six and 15 pounds a month until they approach trim body weight. Let’s suppose that the weight loss is uniformly distributed. We are interested in the weight loss of a randomly selected individual following the program for one month. 1). Find the probability that the individual lost more than ten pounds in a month. 2). Suppose it is known that the individual lost more than ten pounds in a month. Find the probability that he lost less than 12 pounds in the month. 3). P(7 < x < 13|x > 9) = __________. State this in a probability question, draw the picture, and find the probability.

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

Similar questions

Let X = {Email, In Person, Instant Message, Text Message}; P(Email) = 0.06 P(In Person) = 0.55 P(Instant Message) = 0.24 P(Text Message) = 0.15 Is this model a probability distribution? A. Yes. B. No. C. Maybe.
A large insurance company indicates that 78% of the policy holders have at least one health issues and 22% do not health issues. Let Y1 be a random variable defined as Y1 = 0, if the policy holder does not have any health issues; Y1 = 1, if the if the policy holder have health issues. Write the probability distribution of Y1, E(Y1) and Var(Y1).
suppose we select an SRS of 1010 adults. If it is believed that 60% of all adults are very satisfied with their lives, what is the probability that at least 610 adults in our sample are very satisfied with their lives?Let X be the number (out of 1010) of adults who are very satisfied with their lives. What distribution should X have? Why?
Who derives the equation of the normal probability distribution function? a. Abraham de Moivre b. Karl Friedrich Gauss c. Pierre Simon de Laplace
After careful research you observe that the number of hackers active on each day is a random variable Bin(3,0.5) distribution. If no hackers are active, the probability of the website failure is 0.15; If one hacker is active the probability of the website failure is 0.3; if two or more hackers are active the probability of the website failure is 0.5. You conclude that the total probability of website failure on a given day is two decimal place). Assuming there is a failure, the probability no hackers are active is (to (to two decimal places).
Mara Jade is analyzing the fire damage losses in her insurance firm that occurred over a one-year period, based on the following data: Number of Claims Filed Number of Houses Total Number of Claims 0 9,555 0 1 160 160 2 20 40 Fill in the table and calculate the average frequency of loss. Use the information in the table to estimate a probability distribution for the frequency distribution of losses.
Megan has purchased the insurance policy from an insurance company to cover the value of hers new car in case if it gets totaled for the price of $1500 per year. Megan's car worth $20000 and the probability of her totaling the car during the length of the policy is estimated to be 0.4%. Let XX be the insurance company's profit. Answer the following questions: 1. Create the probability distribution table for XX : XX outcome profit xx ,$ P(X=x)P(X=x) car is totaled car is not totaled 2. Use the probability distribution table to find the following: E[X]=μX=E[X]=μX= dollars. (Round the answer to 1 decimal place.) SD[X]=σX=SD[X]=σX= dollars. (Round the answer to 1 decimal place.)
Suppose you called your local pharmacy to refill a prescription and are put on hold. Assume that the amount of time you will spend on hold is somewhere between 0 and 13 minutes and it follows a uniform distribution. What is the probability you will be on hold for exactly 8 minutes?
Willow Brook National Bank operates a drive-up teller window that allows customers to complete bank transactions without getting out of their cars. On weekday mornings, arrivals to the drive-up teller window occur at random, with an arrival rate of 30 customers per hour or 0.5 customers per minute. Let's assume that the service times for the drive-up teller follow an exponential probability distribution with a service rate of 45 customers per hour, or 0.75 customers per minute. Determine the following operating characteristics for the system. (Round your answers to four decimal places.) (a) The probability that no customers are in the system 1353 (b) The average number of customers waiting 1786 (c) The average number of customers in the system 1.25 (d) The average time (in min) a customer spends waiting 4.2 X min (e) The average time (in min) a customer spends in the system x min 1 (f) The probability that arriving customers will have to wait for service 73 X
Assuming that workers' salaries in your company are uniformly distributed between $40,000 and $60,000 per year, find the probability that a randomly chosen worker earns an annual salary between $45,000 and $55,000.
The Physicians' Foundation reported that almost 50% of all general practice physicians in the United States do not recommend medicine as a career. Let x represent the number of sampled general practice physicians who do not recommend medicine as a career. Consider a random sample of 12 physicans. Find the probability that exactly 6 of them do not recommend medicine as a career.
Aurah wanted to know the distribution of the number of students with blood type O. She randomly selected six students and recorded their blood type. Suppose the probability of a student having blood type O is 0.45 and X be the number of students with blood type O. Which of the following is(are) TRUE about the experiment? A. It is a Bernoulli experiment with probability of success equal to 0.45B. The success in this experiment is observing six students with blood type O.C. X-Bin(6.0.45)D. A single trial of the experiment corresponds to six students.