Answered: A male is randomly selected from this…

A male is randomly selected from this population, and tested. The test result is negative. First determine the probability this male has the 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

Related questions

Q: The table summarizes results from pedestrian deaths that were caused by automobile accidents.…

A: Given data table is,pedestrian intoxicated?(Yes)pedestrian intoxicated? (No)totalDriver intoxicated?…

Q: The table summarizes results from pedestrian deaths that were caused by automobile accidents.…

Q: Consider the experiment where two dice are rolled. Find the probability that the maximum of the two…

Q: According to the Department of Education, 60% of college students enjoy taking Statistics. Suppose…

A: Let X be the number of students who enjoy taking Statistics in a sample of 200. Given n = 200…

Q: A rare metal is found in 1/1000 soil samples taken in the field. You develop a field test that is…

A: Given information: P(Metal found)=11000=0.001P(No metal found)=1-P(Finding the metal)=1-0.001=0.999…

Q: You roll two six-sided dice numbered from one through six. What is the probability that the maximum…

A: Given that Two six sided dice are roll. Sample space=S={(1,1), (1,2), (1,3), (1,4), (1,5), (1,6),…

Q: The nurse at the elementary school decided to collect data on the students that come to see her…

A: The formula for probability is given as follows. Probability of an event PE=Number of favorable…

Q: Based on a poll, among adults who regret getting tattoos, 16%say that they were too young when…

Q: The table summarizes results from pedestrian deaths that were caused by automobile accidents.…

A: From the provided information,Total pedestrian deaths = 50+71+251+603 = 975Number of deaths in which…

Q: The probability that a person in the United States has type B blood is 10%. If 3 people are randomly…

A: Let X be a random variable that represents the person in the united states who has type B blood. The…

Q: The probability of winning on an arcade game is 0.711. If you play the arcade game 18 times, what is…

A: Binomial distribution:The events that has exactly two possible outcomes (success or failure) follows…

Q: Find the probability that the weight of a randomly selected steer is between 530 and 1430 lbs. Round…

A: Let , X→N(μ=1100 , σ=90000=300) Our aim is to find the probability that the weight of a randomly…

Q: A certain disease has an incidence rate of 0.8%. If the false negative rate is 6% and the false…

A: given data event A : has disease+ve: test positive-ve: test negativeP(A) = 0.008∴P(A') = 1 - 0.008…

Q: A certain disease has an incidence rate of 0.3%. If the false negative rate is 5% and the false…

A: It is given that A certain disease has an incidence rate of 0.3%=P(D) =0.003 P( Non disease)…

Q: The probability is 0.047 that a male will be color-blind. What is the probability that at least one…

A: The problem is a binomial probability with a formula of:P(x) = nCx px qn-xwhere:P(x) = binomial…

Q: The mean percent of childhood asthma prevalence in 43 cities is 2.24%. A random sample of 33 of…

A: Solution-: Given: n=33,μ=2.24,σ=1.33 We find, P(the mean childhood asthma prevalence for the sample…

Q: The table summarizes results from 983 pedestrian deaths that were caused by automobile accidents.…

A: Total number of pedestrian who's no intoxicated =70+573=643 Total number of accident=983 We want to…

Q: A negative z-value implies a negative probability

A: Z~N(μ=0, σ2=1)

Q: The probability that a student pilot passes the written test for a private pilot's license is 0.55.…

A: Probability distributions are of two types, discrete and continuous distributions. Binomial…

Q: A certain disease has an incidence rate of 0.5%. If the false negative rate is 4% and the false…

A: Given certain disease has an incidence rate of 0.5%. If the false negative rate is 4% the false…

Q: You roll two six-sided dice numbered from one through six. What is the probability that the sum of…

Q: The table summarizes results from 979 pedestrian deaths that were caused by automobile accidents.…

Q: A certain disease has an incidence rate of 0.4%. If the false negative rate is 6% and the false…

Q: A certain prescription drug is known to produce undesirable side effects in 40% of all patients who…

A: Given that, The random variable X is drug produces undesirable side effects of all patients who use…

Q: know the answer is 0.0166. I am struggling to remember the steps to get the answer. The image is to…

Q: The data mentioned in the question can be expressed as PB=0.25, PW=0.25, PS=0.50, PGB=0.40,…

A: Given, The data mentioned in the question can be expressed as P(B)=0.25, P(W)=0.25, P(S)=0.50,…

Q: The life of light bulbs is distributed normally. The variance of the lifetime is 225and the mean…

A: The probability of a bulb lasting for at most 540 hours is calculated below:

Q: A test for a genetic disorder can detect the disorder with 92% accuracy. However, the test will…

A: A test for a genetic disorder can detect disorder with 92% accuracy, The test will incorrectly…

Q: Bricks manufactured in a kiln are weighed every day to check them against the design weight. The…

A: Let us denote X=the number of bricks weighing less than the design weight n=sample size= 12…

Q: You pick 25 cards from a deck all at once. Find the probability that at least 28% of your cards are…

A: Obtain the probability that at least 28% of your cards are face cards. The probability that at least…

Q: A certain disease has an incidence rate of 0.8%. If the false negative rate is 7% and the false…

Q: group of tourists are visiting the Colosseum in Rome, Italy. Out of the group of 56 people, 15 are…

Q: The sensitivity of a medical test is the true positive rate. In other words, the sensitivity is the…

A: Question 4) X is the number of people who receive false positives. The sample size is 30. So, the…

Q: The table below describes a sample of males and females who like and dislike pizza. Give answers to…

A: a) The contingency table is given as follows: Gender Likes pizza Dislike pizza Total…

Q: How can we compare the probability value with the α level?

A: The comparison of the probability value (p-value) with the α level is based on the decision rule of…

Question

A certain type of cancer is known to exist in 2 percent of the population of the males in their fifties. A test for the disease has been is advertised by a pharmaceutical company to have sensitivity 0.97 and specificity 0.95.

A male is randomly selected from this population, and tested. The test result is negative. First determine the probability this male has the cancer.

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 with 2 images

SEE SOLUTION Check out a sample Q&A here

Similar questions

The weights of steers in a herd are distributed normally. The variance is 90,000 and the mean steer weight is 1200 lbs. Find the probability that the weight of a randomly selected steer is between 1379 and 1590 lbs. Round your answer to four decimal places.
About 5% of employed adults in the United States held multiple jobs. A random sample of 60 employed adults is chosen. Use the TI-84 Plus calculator as needed. Find the probability that the proportion of individuals in the sample of 255 who hold multiple jobs is between 0.055 and 0.10 . Round the answer to at least four decimal places. The probability that the proportion of individuals in the sample of 255 hold multiple jobs is between 0.055 and 0.10 is
A certain disease has an incidence rate of 0.4%. If the false negative rate is 7% and the false positive rate is 3%, compute the probability that a person who tests positive actually has the disease. Give your answer accurate to at least 3 decimal places
The mean GPa of university students is 2.3 with a SD of 1.2. If you were to draw 36 students at random and compute their mean GPA, what is the exact probability that this mean will be 2.67 or less? Use four decimal places.
A certain disease has an incidence rate of 0.7%. If the false negative rate is 8% and the false positive rate is 4%, compute the probability that a person who tests positive actually has the disease. Give your answer accurate to at least 3 decimal places
Suppose that 1.4% of men and 3.6% of women have night-blindness. Assume the population consists of 4 times as many men as women. A person is chosen at random from the population and is known to have night- blindness. What is the probability that this person chosen is a woman? Do not include a % sign when reporting your answer. Answer in units of percent. Your answer must be within ± 2.0% Your answer must be within ¹2%.
The life of light bulbs is distributed normally. The variance of the lifetime is 900 and the mean lifetime of a bulb is 550 hours. Find the probability of a bulb lasting for at least 583 hours. Round your answer to four decimal places
In the winter, guests who visit Yosemite National Park like to stay at an overnight lodge in the park 71 % of the time. Find the probability that among 11 guests surveyed exactly 3 guests like to stay at an overnight lodge in the park. P(x = 3) =
A person with a cough is a persona non grata on airplanes, elevators, or at the theater. In theaters especially, the irritation level rises with each muffled explosion. According to Dr. Brian Carlin, a Pittsburgh pulmonologist, in any large audience you'll hear about 14 coughs per minute. Find the probability of at least five coughs (in a large auditorium) in a 27-second period. (Use 4 decimal places.)
Pregnant women are screened for a birth defect called Down syndrome. Down syndrome babies are mentally and physically challenged. Some mothers choose to abort the fetus when they are certain that their baby will be born with the syndrome. The most common screening is maternal serum screening, a blood test that looks for markers in the blood to indicate whether the birth defect may occur. The false-positive and false-negative rates vary according to the age of the mother. Mother’s Age False-Positive Rate False-Negative RateUnder 30 0.040 0.37630-34 0.082 0.29035-37 0.178 0.269Over 38 0.343 0.029 The probability that a baby has Down syndrome is primarily a function of the mother’s age. The probabilities are listed here. Age Probability of Down Syndrome25 1/130030 1/90035 1/35040 1/10045 1/2549 1/12 For each of the age 25, 30, 35, 40, 45 and 49, determine the probability of Down syndrome if the maternity serum screening produces a…
Cody took his first physics exam and scored an 80. The population mean for this exam is 70, and the standard deviation is 5. What is the probability of selecting a person with a score greater than Cody’s?
If a seed is planted, it has a 61% chance of growing into a healthy plant. Let X be the number of seeds grow into healthy plants when 57 seeds are planted. What is the distribution of X? Please show the following answers to 4 decimal places. What is the probability that exactly 24 seeds grow into healthy plants? What is the probability that at most 24 seeds grow into healthy plants?