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: Given a mother of two children has at least one son, what is theprobability she has a daughter?…

A: Given mother has two children has at least one son.So possible outcomes are one son, one daughter…

Q: A drag racer has two parachutes, a main and a backup, that are designed to bring the vehicle to a…

A:

Q: At WSU hospital, 64% of patients have water on the knee, 45% have butterflies in the stomach, and…

A: Given: suppose  A = patient is having water on the knee PA=0.45 B = patients are having butterflies…

Q: Once a woman won​ $1 million in a​ scratch-off game from a lottery. Some years​ later, she won​ $1…

A: a. P(winning in 1st game )×Pwinning in 2nd  game=14200000×1705600=3.374365619×10-13

Q: In a village, the probability that a randomly selected subject is allergic to sulphur is 0.20,…

A: Let A denote the event that allergic to sulphur Let B denote the event that allergic to penicillin…

Q: A sign on the pumps at a gas station encourages customers to have their oil checked, and claims that…

A: Solution

Q: A sign on the pumps at a gas station encourages customers to have their oil checked, and claims that…

A: Let X be the number of cars needs to have oil added. Given: n=84 and p=1/5=0.2 Hence, X ~ B (n=84,…

Q: Suppose that last month, WestJet flights arrived on time 74% of the time and you were on 3 of those…

A: Given: Number of flights (n)=3 Probability of success (p) = 0.74 Consider X be the random variable…

Q: certain inspection site, it is known that, on the average, 1 in every 50 persons exceeded 37 C…

A:

Q: A large industrial firm uses three local motels to provide overnight accommodations for its clients.…

A: Let R represents clients that are assigned rooms at Ramada Inn. Let S represents clients that are…

Q: What is the probability that the first time Alex gets a job interview will not be the sixth…

A: here  p = probability of getting a chance of job interview = 0.19

Q: If the probabilities that a cell phone technician will repair 5, 6, 7, 8, 9, or 10 or more cell…

A: Given info: # of cell phone Probability 5 0.12 6 0.15 7 0.15 8 0.26 9 0.13 10 0.17…

Q: Once a woman won​ $1 million in a​ scratch-off game from a lottery. Some years​ later, she won​ $1…

A: The number of participant in first lottery is 4.2 millions. The number of participant in second…

Q: A class in advanced physics is composed of 10 juniors, 30 seniors, and 10 graduate students. The…

A: Given data:     The numbers of juniors in the class are: n(J)=10. The numbers of seniors in the…

Q: (a) Suppose on an average 1 house in 1,000 in a certain district has a fire during a year. If there…

A:

Q: Suppose I toss a fair coin, and the first toss comes up heads. If I keep tossing the coin until I…

A:

Q: In a given​ year, 1,895,051 males and 1,792,212 females were born in a certain country. If a child…

A: Given Data: The number of males born is: n(M)=1895051 The number of female born is: n(F)=1792212 The…

Q: a. What is the probability that a randomly selected order was placed online?   b. If a person placed…

A:

Q: At a tune-up and brake repair shop, the manager has found that a car will require a tune-up with…

A: A= Tune up B= Repair job

Q: A behavioral psychologist places a rat each day in a cage with two doors A and B. The rat can go…

A: Given: See the attached hand written answer

Q: A CLASS IN ADVANCED PHYSICS IS COMPRISED OF 10 JUNIORS, 30 SENIORS AND 10 GRADUATE STUDENTS. THE…

A:

Q: Thus the probability that the son of a professional will also be a professional is o.80 and so on.…

A: For finding out whether the grandchild will be a professional, take the square of the given matrix…

Q: On any given weekend, the probability that John will go to the bar is 20%, whereas the probability…

A: Let us define some events A : John will go to the bar. B : John will go to hiking. It is given that…

Q: (a) Suppose a mechanic begins to diagnose the problem by checking the spark plugs first and find…

A:

Q: According to the estimation of a particular insurance company, in a particular year, 1 out of each…

A: The probability of a fire outbreak can be calculated as: Probability = Number of favorable…

Q: A player is dealt two cards from a 36-card deck, where half the cards are black and the other half…

A: Given information: Total number of cards in the deck is n(S) = 36. The number of red cards in the…

Q: Of all the students who take the CPA examination, one-fourth have a Master’s degree and the…

A: One-fourth of the students have a Master’s degree, the remaining students have Bachelor’s degree.…

Q: A sign on the pumps at a gas station encourages customers to have their oil checked, and claims that…

A: x: Car needs oil. X ~ Bin(n,p) Where p = 1/5 = 0.20 P(X) = nCx * px * ( 1 - p)n-x

Q: Ninety-nine percent of all babies survive delivery. However, 25 percent of all births involve…

A: Given Information: 99% of all babies survive delivery. 25% of all births involve Caesarean…

Q: A sign on the pumps at a gas station encourages customers to have their oil checked, and claims that…

A: Given: p=13 Consider X as the random variable that represents the number of cars that needs oil.…

Q: a certain population, a group of people has a 0.23% rate of heterochromia. If a random person is…

A: Probability = number of favorable eventstotal number of events

Q: 1) If a family has four children, is it more likely they will have two boys and two girls or three…

A: Solution : Given : A family have four children and probability of a child being boy = 0.5 ∴…

Q: When a scientist conducted a genetics experiment with peas, one sample of offspring consisted of 911…

A: Given n=911, probability of pea will have a red flower is p=3/4. Let X be the number of peas with…

Q: Given a family of two children (assume boys and girls equally likely, that is, probability 1/2 for…

A: Probability of both boys and girls is 12. Determine the probability that both are Boys. P(both…

Q: Of all the students who take the CPA examination, one-fourth have a Master’s degree and the…

A: One-fourth of the students have a Master’s degree, the remaining students have Bachelor’s degree.…

Q: Eye Color Consider a husband and wife with brown eyes who have 0.75 probability of having children…

A: Given, A husband and wife with brown eyes who have 0.75 probability of having children with brown…

Q: Of all the students who take the CPA examination, one-fourth have a Master’s degree and the…

A: One-fourth of the students have a Master’s degree, the remaining students have Bachelor’s degree.…

Q: In a certain high school, the probability that a student drops out is 0.1, and the probability that…

A:

Q: In a given​ year, 2,113,333 males and 2,035,387 females were born in a certain country. If a child…

A: It is given that, there are 2,113,333 males and 2,035,387 females in a century.

Q: (a) a client will be assigned a room with faulty plumbing?  (b) a person with a room having faulty…

A: Here use probability tree diagram

Q: At a certain company, the mentoring program and the community outreach program meet at the same…

A: Given Mentoring=0.43 Outreach=0.32

Q: Of one card is drawn from a standard deck of cards, what is the probability that the card will be a…

A:

Q: Suppose you roll a 6-sided die, a 10-sided die, and a 20-sided die. What is the probability that the…

A: Given that,  You roll a 6-sided die, a 10-sided die, and a 20-sided die.

Q: A total of 42 percent of the voters in a certain city classify themselves as Independents, whereas…

A: Let I be the event representing the Independent voters. Let L be the event representing the Liberal…

Q: A large industrial firm uses 3 local motels to provide overnight accommodations for its clients.…

A: Given that a large industrial firm uses 3 local motels to provide overnight accommodations for its…

Q: In a security check, it is known that out of 100 people, 2 persons bring things that are not allowed…

A: Probability distribution

Q: In a group of 25 people, a person tells a rumor to a second person, who in turn tells it to a third…

A: Given information: It is given that, in a group of 25 people, a person tells a rumor to a second…

Q: A drag racer has two parachutes, a main and a backup, that are designed to bring the vehicle to a…

A: Consider an event A defines that main parachute deploys and event B defines that backup parachute…

Q: Of all the students who take the CPA examination, one-fourth have a Master’s degree and the…

A: The probability of any two events A and B is given below:

Q: The quality-control department of Starr Communications, the manufacturer of video-game cartridges,…

A: Let,A be the cartridges sold have video defectsB be the cartridges sold have audio defectsFrom the…

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.