Suppose that medical science has a cancer-diagnostic test that is 95% accurate on both those who do and those who do not have cancer. If 0.005 of the population actually has cancer, compute the probability that a particular individual has cancer, given that the test detected cancer.

Q: An analyst predicted that 3.5% of all small corporations would file for bankruptcy in the coming…

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Q: Suppose that a fast food restaurant can expect two customers every 3 minutes, on average. What is…

A: In this question we will be using Poisson distribution.  It is given that the restaurant can expect…

Q: A manufacturer of blades knows that 5% of his product is defective. If he sells blades in boxes of…

A:

Q: The probability of a randomly selected adult in one country being infected with a certain virus is…

A: Consider X be a random variable which follows binomial distribution indicates the blood sample of…

Q: (a) One prominent physician claims that 70% of those with lung cancer are chain smokers. If his…

A: Given information: P(Chain smokers) = 0.70 n = 12 Determine the required probability using the…

Q: According to a study by a road safety interest group, the probability that speeding is a cause of a…

A: We have to find given probability.

Q: A manufacturer of pins knows that on an average 5% of his product is defective. He sells pins in…

A:

Q: Sixty percent of new drivers have had driver education. During their first year, new drivers without…

A: Define the following events : A : committing an accident. B : driver having proper driver education.…

Q: A nationwide survey of seniors by the University of Michigan reveals that almost 30.0% disapprove of…

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Q: If a seed is planted, it has a 60% chance of growing into a healthy plant. If 12 seeds are planted,…

A: 60% chance of growing into a healthy plant i.e. Probability(grow) = 0.60 Probability(doesn't grow) =…

Q: In a Survey, 85% of the people interviewed were unaware that maintaining a healthy weight could…

A: Givenp=0.85n=20Let "x" be the no.of people are unware that maintaining a healthy weightcould reduce…

Q: The probability of a randomly selected adult in one country being infected with a certain virus is…

A: We have to find given probability.

Q: A survey on campus revealed that 77% of the students felt that a new attendance policy was unfair.…

A: Given that the probability that the students felt that a new attendance policy was unfair is = 77%…

Q: survey of 2436 men age 18 and older in 1998 for the commonwealth Fund indicated that more than half…

A: If the prior information is not known, we assume that sample proportion is, Critical value: From…

Q: Suppose that 50% of adult Australians believe that Australia should apply to host the next rugby…

A: Given: p=0.5 n=150

Q: A year-long study of heart attacks in a population is to be conducted. Census data shows that 51% of…

A: Let us denote M= Male  F= Female  H= event of having a heart attack  Given,  P(F)=51%= 0.51…

Q: According to a recent study, 1 in 7 women has been a victim of domestic abuse at some point in her…

A: Solution: Let X be the random variable that the number of women  has been a victim of domestic abuse…

Q: The probability that an UofM student is from the Greater Toronto Area is only .25. What is the…

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Q: The probability of a randomly selected adult in one country being infected with a certain virus is…

A:

Q: Suppose that 15% of a population is red-headed, and 10% of the same population is left-handed. If…

A: It is known that, if two events A and B are independent, then P(A and B) = P(A)P(B).

Q: The probability of a randomly selected adult in one country being infected with a certain virus is…

A:

Q: In an experimental study in the Philippines, citizens with a certain blood type volunteer for a test…

A: If each trial has only two possible outcomes, i.e., success and failure, the probabilities of…

Q: In a 300-person focus group, 60% of participants like durian. It turns out that people who like…

A: Given information: n = 300 Number of people who like durian=0.60*300=180Number of people who do not…

Q: Five percent of all credit card holders eventually become delinquent. The probability, rounded to…

A: Given, p = 5% = 0.05 q = 1 - p = 1 - 0.05 = 0.95 n = 19

Q: A recent study showed that 0.5% of women over 50 have breast cancer. 90% of women who have breast…

A: Assume, C be the event which happens when a woman has cancer. N be the event which happens when a…

Q: A component of a spacecraft has both a main system and a backup system operating throughout a…

A: Given: A component of a spacecraft has both a main system and a backup system operating throughout a…

Q: A Food Marketing Institute found that 30% of households spend more than $125 a week on groceries.…

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Q: If a seed is planted, it has a 70 %chance of growing into a healthy plant. If 10 seeds are planted,…

A: Given data, p=0.70 (grows healthy plant) If n=10 then P(X=1) doesnot grow=?

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: The local weather forecaster predicts that there is a 12% chance of rain on each day next week.…

A:

Q: A local jam production company is confident that 60% of the population will like its new grapefruit…

A: Given data, p=0.60 n=10 P(X<2)=?

Q: A survey of all medium- and large-sized corporations showed that 65% of them offer retirement plans…

A: The normal distribution is the most useful theoretical distribution for continuous variables.…

Q: The National Association of Realtors estimates that 23% of all homes purchased in 2004 were…

A: Given: p=0.23 n=800 x=200 The sample proportion is, p^=xn=200800=0.25

Q: Suppose the sensitivity of a diagnostic procedure to test whether a person has a particular disease…

A: It is given that a person has a particular disease is 95%. i) The probability that both test results…

Q: If a seed is planted, it has a 65% chance of growing into a healthy plant. If 10 seeds are planted,…

A: Given: P( chance a seed grows into a healthy plant) = 0.65 n = 10

Q: Suppose that it is known that 45% of eighteen-year-olds in a particular city do not have a driver's…

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Q: The probability of a randomly selected adult in one country being infected with a certain virus is…

A: The probability that the adult is infected with virus is 0.004. When at least one of the person has…

Q: What is the probability of a false negative test result? What is the probability of a false…

A: Note: Since you have posted a question with multiple sub-parts, we will solve first three sub-parts…

Q: The Principal reported that 30% of the students in first year have a failing grade. If this is true,…

A: Given: The Principal reported that 30% of the students in first year have a failing grade. Let X be…

Q: If a seed is planted, it has a 70% chance of growing into a healthy plant. If 11 seeds are planted,…

A: Obtain the probability that exactly 1 doesn't grow.   The probability that exactly 1 doesn't grow is…

Q: The CBS television show 60 Minutes has been successful for many years. That show recently had a…

A: Given : n = 10 p = 0.20 q = 1 - p    = 1 - 0.20 = 0.80

Q: A newspaper article preceding the 1994 World Cup semifinal match between Italy and Bulgaria stated…

A: Given information: Odds in favor of italy=1110 Odds in favor of Bulgaria=310

Q: One study has reported that the sensitivity of the mammogram as a screening test for detecting…

A: Sensitivity of the disease = 0.88 Specificity of the disease = 0.75 P(woman has disease) = 0.0015

Q: Pinterest claims that 0.3789 of their app users are men. In a sample of 93 randomly chosen app…

A: Given information: Proportion of app users of Pinterest that are men p=0.3789 Number of randomly…

Q: In a certain state, 20 percent of all cars emit excessive amounts of pollutants. If the probability…

A:

Q: According to a recent Gallup Poll, 75% of Americans report that they are better off financially…

A: Given data p=75% n=230

Q: A group of realtors estimates that​ 23% of all homes purchased last year were considered investment…

A: Givenp=0.23n=800x~Binomial(n=800,p=0.23)

Q: Assume a students alarm clark has a 13.4% daily failure rate, what is the probability that 2 alarm…

A:

Estimation

A new framework of data analysis where the new statistical methods are used for interpreting the results and analyzing the data is known as estimation in statistics.