According to one poll, 131 out of 200 people are allergic to cats. A device detects this allergy in a person 65% of the time if the person is allergic to cats and 10% of the time if the person is not allergic to cats. Find the probability that a person is allergic to cats given that the device detects the person is allergic to cats. Round your answer to four decimal places

Q: According to www.meretrix.com, traffic fatalities occur at the rate 3.49 fatal accidents per 100…

A: a. The probability of having exactly 0 fatal accidents during the next 100 million vehicle miles is…

Q: According to a recent survey, 80% of all teenagers own a smartphone. If we select 10 teenagers at…

A:

Q: If the probability that a randomly chosen college student takes statistics is 0.16, then what is the…

A:

Q: A group of people were asked whether they owned a dog. The number of people that owned a dog was…

A: From the provided information, Sample size (n) = 490 + 464 = 954 The number of people that owned a…

Q: A friend shares a new playlist of 14 songs with you. The playlist has 2 rock song, 5 pop songs, 5…

A: From the given information, there are 14 songs.   There are,   2 rock songs 5 pop songs 5 rap songs…

Q: At a large university, the probability that a student takes calculus and is on the dean's list is…

A: Given that  The probability that a student takes calculus and is on the dean's list is 0.035.…

Q: A student takes a ten question true false quiz but did not study and randomly guesses each answer.…

A: Given: Number of questions = 10Probability of getting correct =1/2 =  0.5 (because it is a true -…

Q: A nervous kicker usually makes 72% of his first field goal attempts. If he makes his first attempt,…

A: From the provided information, P (makes first field goal attempt) = 0.72 P (Makes second attempt|…

Q: In a large city, 70% of people own a cell phone. A sociologist wishes to study the impact cell…

A: The objective of this question is to find the probability that between 33 and 36 people out of a…

Q: In a survey, 60% of Americans said they own an answering machine. If 13 Americans are selected at…

A: From the provided information, 60% of Americans said they own an answering machine that is (p) =…

Q: 27% of all college students major in STEM (Science, Technology, Engineering, and Math). If 50…

A: p( major in STEM)=p=0.27q=1-p=1-0.27=0.73n=50x= no. of them major in STEMhere data follows the…

Q: The probability that a person is accepted for admission to a specific university is 0.6. Determine…

A: Introduction: If X ~ Binomial (n, p), then the probability mass function of X is: Here, n is…

Q: 27% of all college students major in STEM (Science, Technology, Engineering, and Math). If 35…

A: Formula : Binomial distribution is given by

Q: A survey of Indiana, PA residents finds that 68% like Bob's Sub, 83% like Culpepper's, and 56% like…

A: Let A be the event that the residents like Bob's Sub and B be the event that residents like…

Q: Assume that male and female births are equally likely and that the birth of any child does not…

A:

Q: Every day, Jorge buys a lottery ticket. Each ticket has a probability of 0.2 of winning a prize.…

A: Given that the probability of winning a prize is p = 0.2. Let, X = Number of prizes won by Jorge…

Q: A group of people were asked if they had run a red light in the last year. The number of people that…

A: A group of people were asked if they had run a red light in the last year. The number of people that…

Q: Assume that male and female births are equally likely and that the birth of any child does not…

A: Given that, Male and female births are equally likely and that the birth of any child does not…

Q: t a large university, the probability that a student takes calculus and is on the dean's list is…

A: Probability of student takes calculus and on the dean's list is 0.026 Probability of student on the…

Q: A certain disease has an incident rate of 0.5%. If the false negative rate is 4% and the false…

A: Given that the false-negative rate is 4%. That means the probability of having the disease when the…

Q: A group of 6 students' cholesterol levels are tested. Suppose the probability of a student having a…

A: The objective of this question is to find the probability that exactly three out of the six students…

Q: If the probability that a randomly chosen college student takes statistics is 0.34, then what is the…

A: The probability that a randomly chosen college student takes statistics is 0.34. The probability…

Q: study indicates that 29% of singles have have tried online dating. You randomly sample 9 singles.…

A: Let X be the random variable from binomial distribution with probability (p) = 29% = 0.29 and sample…

Q: Kevin, a traffic engineer, computes that there is an average of 235 subway delays per 30-day period.…

A: The given data is as follows:The average number of delays in a 30-day period is 235

Q: According to one website, approximately 81% of Americans celebrate Easter. Suppose you ask 94 of…

A: given data p = 0.81n =94P(p^>0.84) = ?

Q: A newspaper report states that the probability of snow is .3. After calling the airport you are told…

A: As given, the probability of snow is 0.3, That is, P(snow) = 0.3 Therefore , P( not snow) = 1- P(…

Q: Please write your complete solution (paper). Calculate the probability of throwing a die once and…

A: The total outcomes for throwing a dice are1, 2, 3,4 5, 6. The probabilities are:…

Q: A machine has 28 identical components which function independently. The probability that a component…

A: From the provided information, Sample size (n) = 28 The probability that a component will fail is…

Q: A blood test for diabetes gives a positive result with a proportion of 0.48 when an individual has…

A: The events are denoted as follows:: Event that an individual has diabetes.: Event that an…

Q: Determine the probability of 3 out of 5 people getting accepted into a graduate program, where the…

A: The question is about prob. dist. Given : Total no. of people ( n ) = 5 Prob. of selecting single…

Q: A bag contains 20 white marbles, 6 red marbles, 11 blue marbles, and 8 yellow marbles. If a marble…

A: White marbles = 20 Red marbles = 6 Blue marbles = 11 Yellow marbles = 8 Total marbles = 20 + 6 +11 +…