A certain virus infects one in every 500 people. A test used to detect the virus in a person is positive 90% of the time if the person has the virus and 10% of the time if the person does not have the virus.Give your answer as a decimal to 4 decimal places.

Q: Flaws in a carpet tend to occur randomly and independently at a rate of one every 160 square feet.…

A: From the given problem we know that Area of the carpet is =9×11=99 sq feetand a random variable…

Q: A jury pool consists of 4 Men and 6 Women. A jury consists of 5 people. Find the probability that…

A:

Q: A rare metal is found in 1/1000 soil samples taken in the field. You develop a field test that is…

A: Given information: P(Metal found)=11000=0.001P(No metal found)=1-P(Finding the metal)=1-0.001=0.999…

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A: The theory of probability has its origin in the seventeenth century.The king of France who…

Q: Using Bayes' theorem, calculate the probability that a person who has had a positive test for a…

A: Consider the following events, D=person has the disease D'=person does not have the disease P=test…

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

A:

Q: Suppose that it snows in Greenland an average of once every 24 days, and when it does, glaciers have…

A: Given that, In Greenland an average of once every 24 days, and when it does, glaciers have a 29%…

Q: A test is designed to detect cancer. If a person has cancer, then the probability that the test will…

A:

Q: Over the past month, George the Tortoise has been flipped onto his back 140 times by Angie the…

A: Solution: The empirical probability can be obtained by using the following formula:

Q: A certain insecticide kills 70 % of all insects in laboratory experiments. A sample of 7 insects is…

A: Let "X" be the insects in laboratory experiments that survive.

Q: The average number of errors due to bug in a minute iw 0.0001. (a) Show the probability that no…

A:

Q: whether they arrive on time. (a) Find the probability that exactly 12 flights arrive on time. (b)…

A: Let , X be the number of flights arrive on time. Here , X→B(n=20 , p=0.80) The probability mass…

Q: (a) The probability that a person is infected when a person tests positive is (Do not round until…

A: Here it is given that, a certain virus infects one in every 150 people. A test used to detect the…

Q: A hacker is trying to guess someone's password. The hacker knows (somehow) that the password is 4…

A: The probability that the hacker guesses the password on her first try is,

Q: Over the past month, George the Tortoise has been flipped onto his back 194 times by Angie the…

A: Find the probability (p) that George will be able to get back on his feet without help the next time…

Q: The probability that a patient recovers from a certain type of operation is 0.76. (a) What is the…

A:

Q: Schnitzler syndrome has an incidence rate of 9%. It is found that 92% of people suffering from…

A: Given problem Given that

Q: Attorneys often use lie detectors to test if a suspect is speaking the truth or not. It is found…

A:

Q: A hacker is trying to guess someone's password. The hacker knows (somehow) that the password is 3…

A: Given that the hacker password contains 3 digits The total number of digits is 0 and 6. The total…

Q: A hacker is trying to guess someone's password. The hacker knows (somehow) that the password is 5…

A: The password is 5 digits long and each of the digit could be a number between 0 and 3.

Q: A baseball player has a batting average of 0.185. What is the probability that he has exactly 2 hits…

A: Let us denote: X= the number of hitsn=number of trials=7p=the probability of success= 0.185X follows…

Q: A certain virus infects one in every 400 people. A test used to detect the virus in a person is…

A: It is given that one in every 400 people were infected by the virus. Let the event A represent “the…

Q: A certain virus infects one in every 400 people. A test used to detect the virus in a person is…

A:

Q: 329 chickens on a farm lay brown eggs and 137 chickens on the farm lay white eggs. If a chicken is…

A: chickens on a farm lay brown eggs=329 chickens on the farm lay white eggs=137 Total…

Q: 13. A blood test indicates the presence of a particular disease 95% of the time when the disease is…

A: To calculate: The probability that a person has the disease given that the test indicates the…

Q: A baseball player has a batting average of 0.27. What is the probability that he has exactly 6 hits…

A: Assume, X denotes the random variable representing the number of times the player hits. p denotes…

Q: A certain virus infects one in every 400 people. A test used to detect the virus in a person is…

A: Given data: A certain virus infects one in every 400 people. A test used to detect the virus in 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: An insurance company sells a $2,000, eight-year term life insurance policy to an individual for…

A: Given that the individual will live for the next eight years is 0.99. So, the probability that the…

Q: Seventy percent of adults favor some kind of government control on the prices of medicines. Assume…

A: Givenpopulation proportion(p)=70%=0.7sample size(n)=400Mean(μp^)=p=0.7standard…

Q: (a) If the test administered to an individual is positive, what is the probability that the person…

A: Answer:-  P(having disease)=0.03 P(medical test i=s positive for people having disease)=0.96 So,…

Q: There is a medical test for a virus. The test is 95% accurate (i.e., it indicates positive 95% of…

A: Given that: Probability that the test is accurate = 0.95 Probability that a person has the virus =…

Q: A drug test correctly gives a positive result 90 percent of the time. However, 3 percent of the…

A:

Q: A husband and wife discover that there is a 13% probability of their passing on a hereditary disease…

A: We have given that  Sample size n= 3 , p= probability of success =13%=0.14 q= 1- p= 0.87

Q: Using Bayes' theorem, calculate the probability that a person who has had a positive test for a…

A: Given information: Denote the event that the test gives positive result as P. Denote the event that…

Q: s that a drug cures a rare skin disease 65% of the time. The claim is checked by testing the drug on…

A: It is given that P=0.65 , n=100  Apply normal distribution ,  n·p=100×0.65=65.…

Q: A baseball player has a batting average of 0.325. What is the probability that he has exactly 2 hits…

A: Let "X" be the batting average of the basketball player.

Q: In a recent baseball season, Ron was hit by pitches 21 times in 602 plate appearances during the…

A: Given, Sample size = n = 23probability= p = 21602=0.03488 Here x follows Binomial distribution

Q: A person with a cough is a persona non grata on airplanes, elevators, or at the theater. In theaters…

A:

Q: The probability that it will snow in a city in December is 0.4 a. find the probability that it will…

A: We have to find given probability.

Q: During a flu epidemic, 20% of children get the flu. In a random sample of 10 children, find the…

A:

Q: In a certain year, it was estimated that 1,000,000 of the 307,000,000 residents of the United States…

A: Since we only answer up to 3 sub-parts, we’ll answer the first 3. Please resubmit the question and…

Q: A hacker is trying to guess someone's password. The hacker knows (somehow) that the password is 5…

A: The password contains 5 digits. Each of the digit can be any number from 0 to 5, that is there are…

Q: A baseball player has a batting average of 0.29. What is the probability that he has exactly 6 hits…

A: We have given that  Sample size n=7 ,x=6 p=0.29 , q= 1- p=0.71 X~Binomial(n,p)

Q: Traffic on highway 64 during rush hour travels at 70 miles/hour. The Missouri Department of…

A: When the problem is about the number of anything, then usually we consider a discrete probability…

Q: Ashley’s Internet service is terribly unreliable. In fact, on any given day, there is a 75% chance…

A:

Q: Sample Space: Women Research has shown that approximately 1 woman in 600 carries a mutation of a…

A: Given information 1 woman in 600 carries a mutation of a particular gene P (Women carries a gene) =…

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

A: Formula of Baye's theorem: P(A|B)=P(B|A)P(A)P(B) Where,  P(A|B) – the probability of event A…

Q: Studies show that historically a certain city is hit by a tornado about once every 5 years. What is…

A: Givencity hit by tornado about once in every 5 yearsλ=1 for 5 years for 10 yearsλ=2 for 10…