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: I am having problems calculating the population variance. I am okay for the first 4 steps in the…

A: Variance tell us about the spread of the data distribution. Population variance tell us about how…

Q: Ottawa Public Health collects beach water samples every day during the summer. A non-swimming…

A: It is an important part of statistics . It is widely used .

Q: In a certain community, 16% of the families own a dog, and 25% of the families that own a dog also…

A: Given: Probability family owns a dog, P(D)= 0.16 Probability family owns a cat, P(C)= 0.34 The…

Q: It was revealed that in New York 8% of all automobiles in the state did not pass inspection. Of the…

A: 1. Suppose a random variable X, defines that the number of automobiles in the state that did not…

Q: If the probability of having a female tortoise is 0.35, what is the probability of having four…

A: Given that,  The probability of having a female tortoise is, p = 0.35 The no.of eggs in a nest is, n…

Q: What is the probability a car with an alarm system had a CD player?

A: Define some events A : car had CD player. B : car had alarm system. Given that P(A) = 0.64, P(B) =…

Q: A pair of 6 sided dice are tossed. What is the probability that at least one of the dice has a value…

A: GivenA pair of 6 sided dice are tossed

Q: About 20% of those called for jury duty will find an excuse to avoid it. If 10 are called for jury…

A:

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: An insurance representative has appointments with four prospective clients. From past experience,…

A:

Q: If 10% of the population has a certain characteristic, what is the probability that in a random…

A: n = 10, p = 10% = 0.10, q = 1 - p = 1 - 0.10 = 0.90X ~ Bino(n = 10, p = 0.10)Let X be the number of…

Q: In a town of 5000 people, 1000 are over 60 years old and 2000 are female. It is known that 40% of…

A: Given: Total People in town=5000Number of people over 60=1000Number of females=2000Number of female…

Q: If two coins are tossed at once, what is the probability of getting only one head?

A: Probability of an event is the ratio of number of favourable outcomes to total number of possible…

Q: A survey reveals that 80% of the eligible people in a certain county vote during a county election.…

A: Here, n = 70 and p = 0.80.

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 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: If 63% of the people at a certain conference are doctors, 48% are women, and 39% are doctors, what…

A: The following information has been given: The probability that people at a certain conference are…

Q: A random sample of 450 adult is taken from a population of 15000. It is believed that 82% of the…

A:

Q: A certain test for a particular cancer is known to be 95% accurate. Aperson submits to the test and…

A:

Q: Suppose a company has a workforce of 500 employees, of whom 60% are male and 40% are female. If 10%…

A: Number of employees (N)=500 60% male and 40% female  10% male and 25% female over age 50  We have to…

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: 3. On 60% of days, a hospital admits at least one heart attack patient. On 40% of the days, no heart…

A:

Q: It is generally believed that 29 % of all pieces of candy in a family pack of Hershey’s candy are…

A: Given The percentage of all pieces of candy in a family pack of Hershey's are dark chocolate =…

Q: A vendor supplies 200 parts and claims that no more than 25% of them are defective. The receiving…

A: Total number of parts=200 Sample size(n)=5 Claim is that not more than 25% are defective

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: A recent poll indicates that 48% of all registered voters in America plan to vote for a specific…

A: given data, p=0.48n=12q=1-0.48=0.52p(X=x)=nCx *px*q(n-x) (binomial distribution)x= no. of ragisterd…

Q: 2. On 60% of days, a hospital admits at least one heart attack patient. On 40% of the days, no heart…

A:

Q: Suppose eight students in a statistics class of 12 students are sophomores. What is the probability…

A: Total students = 12Sophomores = 8 Not sophomores = 12 - 8 = 4

Q: Assuming that the population is half male and half female, what is the probability that a random…

A: Given :Assuming that the population is half male and half female So , the population proportion of…

Q: A politician running for Senate in California claims that only 34% of Californians approve of the…

A: Obtain the probability that more than 40% of those surveyed approve of the competitor. The…

Q: If records indicate that 4 houses out of 1000 are expected to be damaged by fire in any year, what…

A: Given that 4 houses out of 1000 are expected to be damaged by fire in any year. Therefore,…

Q: it is estimated that 4800 of the 24,000 voting residents of a town are against a new sales tax. If…

A: Given: Number of residents against a new sales tax (x)= 4800 Total voting residents (N)=24000

Q: It is known that approximately 90% of the population is right-handed. In a sample of 100 people,…

A:

Q: Johnny has rolled a pair of standard fair six-sided dice. Given that one of the two dice shows 3…

A: Given Johnny has rolled a pair of standard fair six-sided dice.

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

A: Given data: Total device = 1000 Probability of nonoperation = 0.001 To find : The probability that…

Q: the population is half male and half female, what is the probability that a random group of 11…

A:

Q: In a survey of 98 baseball fans in NYC, 51 were fans of the Mets, 68 were fans of the Yankees and 34…

A: Given that there total 98 fans And we have to find probability of picking one random fan who is…

Q: What is the probability that it rains tomorrow?

A: Here define events and draw tree diagram

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.