A doctor gives a patient a test for a particular cancer. Before the results of the test, the only evidence the doctor has to go on is that 1 woman in 1000 has this cancer. Experience has shown that, in 99 percent of the cases in which cancer is present, the test is positive; and in 95 percent of the cases which it is not present, it is negative. If the test turns out to be positive, what probability should the doctor assign to the event that cancer is present?

Q: In a certain town 90% of the people believe in global warming; 10% of the people do not. If I pick a…

A: It is given that there are 90% people who believe warming,Thus, probability of global warming (p) is…

Q: According to a research agency, in 25% of marriages the woman has a bachelor's degree and the…

A: It is given that the probability of the woman has a bachelor’s degree and the marriage lasts at…

Q: Answer the problem following the format indicated on the attached image. Albinos are unable to…

A: The probability that for a particular species of bird there is a true true albino is computed as:…

Q: Suppose that the probability that a child living in an urban area in the United States is obese is…

A: From the given information p = 0.20 and n = 15.

Q: An airline company is considering a new policy of booking as many as 218 persons on an airplane that…

A: Given n=218 P=0.90

Q: An airline company is considering a new policy of booking as many as 247 persons on an airplane that…

A: Given n=247 p=0.84

Q: It has been found that 1 out of every 10 people who visit a local store purchasecigarettes. If we…

A: Binomial distribution: The binomial distribution gives the probability of number of successes out of…

Q: in a certain​ country, the true probability of a baby being a boy is 0.512. Among the next four…

A: P(boy) = 0.512In a next four births, P(At least one girl) = ?

Q: If the probability that Aera is late from home school in any day is 0.4; what is the probability…

A: GivenThe probability that Aera is late from home school in any day (p)=0.4No.of days in school…

Q: In a certain​ country, the true probability of a baby being a girl is 0.486 . Among the next four…

A: From the provided information,Probability of a baby being a girl is 0.486.n = 4

Q: There's a glitch in ChatRoulette, and it matches you with a completely random person, despite your…

A: Given, Number of Men Participants = 60% Number of Women Participants = 40% Number of crazy…

Q: A drug is effective in nine cases out of ten. If it is tested on 12 patients, what is the…

A:

Q: A radio device consists of 1000 electronic elements. The probability of nonoperation for one element…

A: Assuming that the random number X of non operating elements obeys poisson's law…

Q: A radio device consists of 1000 electronic elements. The probability of nonoperation for one element…

A: GivenNo.of electronic elements(n)=1000probability of nonoperation for one element during one…

Q: A carton weighing 250 pounds breaks 1 out of every 5 tables it is placed on. If a carton weighs 300…

A: we only know that a carton weighing 250 pounds breaks 1 out of every 5 tables it is placed on. We…

Q: A certain hospital claims that 70% of the patients die of chronic diseases.  What is the probability…

A: Solution-: Let, X= Number of  patients recover of chronic diseases among 6 randomly selected…

Q: The air conditioner of 2 out of 10 cars in a car dealership is faulty. For a company that buys 4 of…

A: Giventhe air conditionerof 2 out of 10 carsis…

Q: A college is composed of (0.25) men and (0.75) women. It is known that (0.60) of men and (0.20) of…

A:

Q: There's a glitch in ChatRoulette, and it matches you with a completely random person, despite your…

A: Given: 70% of ChatRoulette participants are men. 30% of ChatRoulette participants are women. 80% of…

Q: A doctor wants to know the probability that an infection will occur after performing a particular…

A: A doctor wants to know the probability that an infection will occur after performing a particular…

Q: An airline company is considering a new policy of booking as many as 262 persons on an airplane that…

A: Given n=262 P=0.84

Q: what is the probability that her omelet will contain at least one Salmonella contaminated egg?

A: Linda hears a story on National Public Radio stating that one in six eggs in the United States are…

Q: A store owner of headache medicine claims it is 60% effective within a few minutes. That is, out of…

A: Given, let 'X' be the number of patients having relief within a few minutes out of 12 patients.…

Q: Inside the wrapper of a certain candy bar, there is a 1 in 10 chance to win a prize. Suppose you buy…

A:

Q: The American Red Cross says that about 45% of Caucasians in the U.S. have Type O blood, 40% Type A,…

A: Given that The O is the event of type O blood The A is the event of type A blood The B is the event…

Q: A manufacturer of headache medicine claims that it is 70% effective within a few minutes. That is,…

A: A manufacturer of headache medicine claims that it is 70% effective within a few minutes i.e.., out…

Q: A company is developing a new drug, and the clinical trials show that the drug has a 75% chance of…

A: Probability of curing a particular illness(p)=0.75sample size(n)=10Let "x" be the no. of patients…

Q: About 10​% of the population of a large country is nervous around strangers. If two people are…

A: The probability that a randomly selected people is nervous around strangers is 0.10. The probability…

Q: In a certain​ country, the true probability of a baby being a  girl is 0.484 . Among the next four…

A: Given n=4  p=0.484

Q: In a certain​ country, the true probability of a baby being a boy is 0.515. Among the next nine…

A: The true probability of a baby being a boy is 0.515.   Suppose, X be the number of girls born out of…

Q: During a power blackout, one hundred persons are arrested on suspicion of looting. Each is given a…

A:

Q: A radio device consists of 1000 electronic elements. The probability of nonoperation for one element…

A: Given,n=1000p=0.001λ=npλ=1000×0.001=1A random variable X~Poisson(λ=1)P(X=x)=e-11xx!  ;    x≥0

Q: It is estimated that 55% of households own a riding lawnmower.  A sample of 20 households is…

A:

Q: th a 1% chance, healthy peop

A: Let E1 and E2 be the events that a person has a disease and do not has a disease. As, E1 and E2 are…

Q: The infection rate of a certain disease is estimated to be 6%. Suppose 18 people enter a room…

A:

Q: Suppose that 1% of the population has a certain disease. The test to diagnose the disease is 99%…

A:

Q: Suppose a cruise ship returns to the United States from an overseas voyage. Unbeknownst to anyone, 4…

A: # let x be the nonof passenger having disease follow binomial distribution (n=20, p=1/150)  Then to…

Q: 3. Officials at the suicide prevention center know that 5% of all people who phone their hotline…

A:

Q: A marketing research survey shows that approximately 80 percent of the car owner surveyed indicated…

A: Probability of an event is chances of occurrence of the event. Probability of an event is computed…

Q: A medical test is used to detect a particular disease. Suppose that 0.2% of the population has the…

A: We have to use Bayes theorem to find the conditional probability.

2-Proportion Test

In a 2-proportion test, two separate proportions are measured at the same time, and their similarity is evaluated. It is also known as a 2-proportion z-test, and a comparison of two different proportions is done in this method.