Q. 1 Suppose that 4.5% of all adults over 50 have cancer. A certair physician correctly diagnoses 94% of all adults over 50 with cance as having the disease and incorrectly diagnoses 4% of all adults ove 50 without cancer as having the disease. (i) Draw a tree diagram and label it with appropriate probabilities. (ii) Find the probability that a randomly-selected adult over 50 i diagnosed as not having cancer. (iii) Find the probability that a randomly-selected adult over 50 actually has cancer, given that he/she is diagnosed as not having cancer

Q. 1 Suppose that 4.5% of all adults over 50 have cancer. A certair physician correctly diagnoses 94% of all adults over 50 with cance as having the disease and incorrectly diagnoses 4% of all adults ove 50 without cancer as having the disease. (i) Draw a tree diagram and label it with appropriate probabilities. (ii) Find the probability that a randomly-selected adult over 50 i diagnosed as not having cancer. (iii) Find the probability that a randomly-selected adult over 50 actually has cancer, given that he/she is diagnosed as not having cancer

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

Suppose that in the small state of Rhode Island in the USA, the average number of women suffering severe osteoporosis (due to the consumption of dairy products) in any given month is 12. What is the probability that in just one-quarter of a month there will be eight (8) women found suffering severe osteoporosis?
The latest nationwide political poll indicates that for Amaricans who are randomly selected, the probability that they are conservative is 0.55, liberal is 0.30 and that they are middle of the road is 0.15. Assuming that these probabilities are accurate answer the poll questions pertaining to a randomly chosen groo of 10 Americans. What is the probability that at least 8 are liberals?
Suppose that it is known that 45% of eighteen-year-olds in a particular city do not have a driver's licence. If a random sample of 20 eighteen-year-olds is taken in the city, what is the probability that more than half of them will not have a driver's licence?
I need help with a, b, c and d.
Suppose a certain study conducted in 2000 reported 71.3% of men between the ages of45 and 54 are considered overweight. If a random sample of 150 men in this age groupis selected, what is the probability that between 66% and 75% of them are overweight?
The probabilities are 0.4, 0.2 and 0.3 and 0.1, respectively, that a student uses LAN,Wifi, Prepaid Data, or Hotspot for internet connection. What is the probability thatamong 10 randomly selected students, 2 use LAN, 4 use Wifi, 3 use prepaid data,and 1 uses Hotspot for their internet connection?
Suppose there is a 11.9% probability that a randomly selected person aged 35 years or older is a jogger. In addition, there is a 15.9% probability that a randomly selected person aged 35 years or older is female, given that he or she jogs. What is the probability that a randomly selected person aged 35 years or older is female and jogs? Would it be unusual to randomly select a person aged 35 years or older who is female and jogs? The probability that a randomly selected person aged 35 years or older is female and jogs is (Round to three decimal places as needed.).
Suppose a population consists of 10 items, four of which are classified as defective and six of which are classified as non-defective. What is the probability that a random sample of size three will contain two defective items?
27.4% of males and 22.8% of females never eat breakfast. Suppose that random samples of 200 men and 200 women are drawn. What is the probability that no more than 108 of these 400 people never eat breakfast?
A certain group of women has a 0.06% rate of red/green color blindness. If a woman is randomly selected, what is the probability that she does not have red/green color blindness?