Two people have tried robbing in a government office in Bangladesh. They were about to be trapped but escaped successfully. To find the real robber, the police arranged a lie detector test for 50 people who were claiming that they are guiltless. Suppose that the probability of detection of not innocent people is 0.90 and guiltless people seem to be guilty with the probability 0.01. What is the probability Mr. X is guilty given that the test says he is not?

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

A:

Q: on an uninfected person. What is the probability that a randomly tested person from this area will…

A: given that

Q: the owner of a small deli is trying to decide whether to discontinue selling magazines. He suspects…

A:

Q: A pharmaceutical company claims that 20% of those taking its new allergy medication will experience…

A: Of the people who take the new allergy medication of the company, p = 20% will experience…

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 survey shows that about 65% of all respondents chose to have dogs over cats. Suppose that 15…

A:

Q: The time taken by brake discs to overheat on construction equipment is normally distributed with…

A:

Q: The owner of a small deli is trying to decide whether to discontinue selling magazines. He suspects…

A: Let X be the random variable from binomial distribution with probability (p) = 11% = 0.11 and sample…

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: 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: It has been found that 1 out of every 10 people who visit a retail website make a purchase worth…

A: Given: n=12p=110=0.1q=1-p=0.9 The probability that no more than three of the visitors will make a…

Q: A recent survey examined the use of social media platforms. Suppose the survey found that there is a…

A: The probability of union of two sets are given as, P(A or B) = P(A) + P(B) – P(A and B).

Q: Part (a) What is the probability that the PSA test will yield a positive result? (use four decimals…

A: Here given,  A Canadian male has recently had a Prostate Specific Antigen (PSA) test as to determine…

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: To reduce laboratory​ costs, water samples from two public swimming pools are combined for one test…

A: Given : probability of a public swimming area has a bacteria = 0.009 probability of a public…

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

A: From the provided information, 60% of the population will like its new grapefruit jelly. That is p =…

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: A lie detector is known to be 70% reliable when the person is quilty and 95% reliable when the…

A: The machine is reliable when person is guilty is 70% The machine is reliable when person is not…

Q: The television show CSI: Shoboygan has been successful for many years. That show recently had a…

A:

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

A:

Q: It is a well-established fact that 40% of people are scared of squirrels. If we take a SRS of 50…

A:

Q: A new brand of drug-free nasal strip claims to be 90% effective in relieving nasal congestion to…

A: From the given information the probability of success is 0.9

Q: average number of boats that will be waiting for service? What is the average time a boat will spend…

A: *Answer:

Q: A hospital is examining a new detection kit for pancreatic cancer. The results of an early clinical…

A: To calculate: what is the probability that he/she actually has pancreatic cancer?

Q: According to a study published in a reputable science​ magazine, about 8 women in​ 100,000 have…

A: We have given that  P(C)=0.00008 P(test pos|C)=0.89 Find P( test pos and C)

Q: If the chance of rain on Sunday increases to 50% if it rains on Saturd. suppose you were away on…

A: *Answer: Solution: P(Sunday)=P(Saturday)+50%---------------------------1 Let Probability that it…

Q: A couple decides to continue to have children until they have two males. Assuming that P(male) =…

A:

Q: It has been found that 2 out of every 10 people who visit a retail website make a purchase worth R1…

A:

Q: A dashboard warning light is supposed to flash red if a car's oil pressure is too low. On a certain…

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Q: What is the probability that 8 out of 12 customers will see dramatic results? What is the…

A:

Q: To reduce laboratory​ costs, water samples from sixsix public swimming pools are combined for one…

A: In this question, it has been given that probabilities of finding bacteria in a public swimming pool…

Q: The television show CSI: Shoboygan has been successful for many years. That show recently had a…

A: Given The television show CSI: Shoboygan has been successful for many years. That show recently had…

Q: Dr. James, a dermatologist, is creating a face wash for her patients with severe skin allergies.…

A:

Q: The owner of a small deli is trying to decide whether to discountinue selling magazines. He suspects…

A: Given n=10 p=0.092

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

A: From the given information, the probability of the population will like new grapefruit jelly is 60%.…

Q: The manager at the local auto shop has found that the probability that a car brought into the shop…

A: Consider that A and B are defined as an oil and break repair charges, respectively.Thus,The provided…

Q: If you get a positive identification from a caller on this test, what is the probability that he…

A:

Q: In a genetics experiment on​ peas, one sample of offspring contained 405 green peas and 31 yellow…

A: Given In a genetics experiment on​ peas, one sample of offspring contained 405 green peas and 31…

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: To reduce laboratory costs, water samples from five public swimming pools are combined for one test…

A:

Q: It has been found from experience that there is an average of five faults per 50 metres of cloth…

A: Probability distributions are of 2 types, discrete and continuous. Poisson distribution is a…

Q: Suppose you are told that among Atlantic salmons, the proportion of salmons suffering from a viral…

A: 1)  Given information: The proportion of salmons suffering from a viral infection=p=0.085 p^=0.90 n…

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: A blindfolded marksman finds that on the average he hits the target 4 times out 5. If he fires 4…

A: X=number of hitsX~Binomal(n,p)where n=4    and    p=45=0.8probability mass function of X;…

Q: The Springfield Kings, a professional basketball team, has won 12 of its last 20 games and is…

A: Let A be the event that the team wins tonight and  Let B be the event that these will be a large…

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

A:

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)