It is known that 8% of the population has some form of malaria. A diagnostic test will test positive 95% of the time among patients with cancer and test negative 90% of the time among patients without cancer. A person selected at random tests positive. What is the probability that he has cancer?

Q: My friend Mary lies 20% of the time. She calls me and says that it's currently raining in Amsterdam.…

A: Since Mary lying and its raining in Amsterdam are two independent events

Q: Ten patients participated in a study to see if vitamin C can prevent colds. If each patient has a…

A: It is given that 10 patients participated in a study to see if vitamin C can prevent colds. The…

Q: On a 5-day vacation, the forecast is a 34% chance of rain every day. What is the probability that it…

A: n=sample size=number of days=5, p=probability of raining every day=0.34

Q: It is reported that 60% of people are non-smokers. A non-smoker has a 10% chance of infected by the…

A: Given information, P(non-smoker)=60%=0.60 P(smoker)=1-0.60=0.40 P(infected| non-smoker)=0.10…

Q: A blood test indicates the presence of a particular disease 98​% of the time when the disease is…

A:

Q: A nurse has found that persons calling a medical advice line who think they have the flu, only…

A: Solution: Let X be the number of callers actually have the flu and n be the sample number of…

Q: The average monthly grocery bill for an individual is normally distributed with a mean of $85 and a…

A: Solution: Let X be the average monthly grocery bill for an individual is normally distributed with…

Q: Company ABC distills and bottles 12-oz bottles of water. According to the company policy, any bottle…

A: Given that  Company ABC distills and bottles 12-oz bottles of water. According to the company…

Q: After rolling a fair twenty-sided die 200 times, the observed (or experimental) probability of…

A: A 20-sided fair die is rolled.

Q: A study shows that 15% of adult males don’t wash their hands in a public restroom. We take a random…

A:

Q: When purchasing boards from a wood supplier, it has been documented that 44% of the boards that are…

A: Given that  Sample size n =300 Population proportion p=44%=0.44

Q: According to a study, 20% of corporate officers are women. Suppose that you select a random sample…

A:

Q: About 0.5% of adults have nut allergy. The test correctly identifies 94% of the time adults with…

A:

Q: In a survey of 500 individuals, it was found that 60% of them prefer tea over coffee. Of those who…

A: Answer: To find the probability, we need to calculate the proportion of individuals who prefer tea…

Q: ts have allergies.  A test for allergies correctly diagnoses the presence of an allergy in 85% of…

A: Define the following events : A: Proportion of people having allergy B: proportion people which do…

Q: Approximately 30% of obese patients develop diabetes. If a physician sees 10 patients who are obese,…

A:

Q: If the probability of being hit by lightning is 1 in 1,000,000, what is the probability of not…

A: Given that , P (being hit by lightning) = 1/1000000 =0.000001

Q: It is estimated that 25% of the athletes competing in a large tournament are users of an illegal…

A: Given that :  25% of the athletes competing in a large tournament are users of an illegal drug to…

Q: According to the Center for Disease Control (CDC), the percentage of boys who are diagnosed with…

A:

Q: The national center for health statistics has found that there is a 5.01% chance that an american…

A: There is 5.01% chance that an American citizen will die from an accident.

Q: A disease affects 1 out of every 500 people. If you have the disease, you test positive 90% of the…

A: P( a person affected by the disease) = P(D) = 0.002 P( a person not affected by the disease) = P(ND)…

Q: A new surgery is successful 80% of the time. If the results of 6 surgeries are randomly sampled,…

A:

Q: A blood test indicates the presence of a particular disease 94% of the time when the disease is…

A: Let Y be the positive test result, D be the presence of the disease, and A be the absence of the…

Q: According to the Center for Disease Control (CDC), the percentage of boys who are diagnosed with…

A: