A certain virus infects 1 out of every 500 people. A test used to detect the virus in a person is positive 80% of the time if the person has the virus and 5% of the time if the person does not have the virus. (Use n= 50,000) a.) A person tests positive. What is the probability he does not has the virus? (False positive) b.) Another person tests negative. What is the probability he actually does have the virus? (False negative)

Q: If a die is tossed once what is the probability that a 2 appears on to

A: To find the probability that a 2 appears on top.

Q: When treated with an antibiotic 91% of all the dolphins are cured of an ear infection . If 6…

A: Given  With an antibiotic 91% of all the dolphins are cured of an ear infection.

Q: In a local college, 70% of students have a part-time job outside of school. Suppose that we want to…

A: Here we need to find the following probabilities using binomial distribution.

Q: A golf ball is selected at random from a golf bag. If the golf bag contains 8 type A balls, 5 type B…

A: Number of type A balls = 8 Number of type B balls = 5 Number of type C balls = 3 Total number of…

Q: Suppose that it is equally likely for a couple to have a boy or a girl.   (a) Suppose a couple has…

A: Consider that, equally likely for a couple to have a boy or a girl. (a) Consider that  couple has…

Q: My father is an avid reader. On any given day he is reading multiple items. Suppose on any given…

A: a) For any two events A and B, it is known that P(A ∪ B) = P(A)  + P(B) – P(A ∩ B).

Q: Hospital records show that 75% of the patients will recover from a certain disease. i. What is the…

A: According to the provided information, The probability that patients will recover from a certain…

Q: The two-way table summarizes whether or not a cross country team had practice when it was raining…

A: Hi! Thank you for the question, As per the honor code, we are allowed to answer three sub-parts at a…

Q: 3) In the United States, 56% of all children get an allowance and 40% of all children get an…

A: Let H -do household chores Let A -Child gets an allowance P(A) = 0.56 and P(A and H) = 0.40

Q: A marble is selected at random from a jar containing 2 red marbles, 4 yellow marbles, and 6 green…

A:

Q: 3. Suppose at a small college, 30% of the students are freshmen, and 60% of the students live on…

A:

Q: A patient taking an antiviral medication recovers from a respiratory disease with 35% probability.…

A: The probability is p=0.35 and the value of n is 18. Therefore m=np=0.35×18=6.3 Therefore the…

Q: Three people have been exposed to a certain illness. Once exposed, a person has a 50-50 chance of…

A:

Q: a. If 50 persons were tested in a specific testing center, what is the probability of getting 10…

A: Here  P = probability of tested positive  = 0.60 q= 1-p = 0.40

Q: In a local college, 70% of students have a part-time job outside of school. Suppose that we want to…

A: Solution: Let X be the number of students have a part-time job outside of school and n be the sample…

Q: A batch of 50 items contains 10 defective items. Suppose 10 items are selected at random and tested.…

A:

Q: If eggs are laid and there is a 70% chance of them hatching   If there are 8 eggs, what is the…

A: It is an important part of statistics. It is widely used.

Q: A couple decides to continue to have children until they have two males. Assuming that P(male)=0.4,…

A:

Q: (a) What is the probability that the receiver gets a 0? (b) If the receiver gets a 0, what is the…

A: Let us define some events A : the system transmits 0. B : the system transmits 1. E : the receiver…

Q: 4. A person is known to hit the target in 3 out of 4 shots, whereas another person is known to hit…

A: First person hits the target 3 out of 4 shots Probability of first person hitting the shot ,…

Q: The probability that a person on a certain beach will buy ice cream is 0.29. A. What is the…

A: Given Data: p=0.29 where p is the probability that a person on a certain beach will buy ice cream…

Q: At the durban beach front it rains on 20% of the days and it is windy on 30% of days. if rain and…

A:

Q: A person is randomly selected. What is the probability that the person is: a) Male? b) Male and a…

A: As per our guidelines, we are allowed to answer first three sub-parts only. Thanks Given Data :…

Q: e mother has good XX chromosomes, what is the probability that a son will inherit the disease? e…

A: *Answer:

Q: An unfair coin with​ Pr[H] = 0.75 is flipped. If the flip results in a​ head, a student is selected…

A: Given that the coin results in a Head.   we must choose from the class of fifteen boys and sixteen…

Q: A monkey likes eating olives and in a plate there are twenty olives and exactly fifteen of which…

A: There are twenty olives and fifteen have their seeds removed. The monkey could have eaten 0,1,2,3,4…

Q: In a large city, 8% of the inhabitants have contracted a particular disease. A test for this disease…

A: Assume, D=have disease Dc= do not have diseasep= postive n= negativeGiven:…

Q: Thus the probability that the son of a professional will also be a professional is o.80 and so on.…

A: For finding out whether the grandchild will be a professional, take the square of the given matrix…

Q: The probability that a certain type of chip will fail after installation is 0.15. A memory board for…

A: Given, Let success be the chip will not fail after installation The probability that a certain type…

Q: 1. Felix is a quarterback for the Raleigh Rangers. After analyzing his game stats, he determines…

A: Note: Hi, thank you for the question. As per our company guideline we are supposed to answer only…

Q: forcater knows from historical data that the daily probability of rain is 0.3 during april. what is…

A: It is given that the, A weather forecaster knows from historical data that the daily probability of…

Q: 21 There is a family that has two children. Suppose that girls and boys are equally likely, what is…

A: The probability of an event given A given event B is: PA/B=PA∩BPB Now, we have that event A is that…

Q: A survey of 1000 students found that 41% of the surveyed students were freshmen, 31% were juniors,…

A: Given that 1000 students were surveyed.

Q: A website reports that 70% of its users are from outside a certain country, and 60% of its users log…

A: Let O denote that randomly selected users are from outside the country. I denote that randomly…

Q: The probability that a patient recovers from a stomach disease is .8. Suppose 20 people are known to…

A: It is given that n = 20 and p = 0.8.

Q: Suppose that it is equally likely for a child to be a boy or a girl. Suppose a parent tells you that…

A: Consider the event B denotes the boy and the event G denotes the girl. It is mentioned that boys and…

Q: 85% of the restaurants in Camden Town practice good hygiene. Each time you eat in a clean…

A: As per guidelines we will solve the first question only, please repost other questions for more…

Q: The Lemon brand cars have a transmission which fails with probability .6, and brakes which fail with…

A: Given info: The Lemon brand cars have a transmission which fails with probability 0.6, and brakes…

Q: The probability that an automobile being filled with gasoline also needs an oil change is 0.25; the…

A: From the given information, we have, The probability that an automobile being filled with gasoline…

Q: A golf ball is selected at random from a golf bag. If the golf bag contains 8 type A​ balls, 5…

A: No.of type A balls =  8 No.of type B balls = 5 No.of type C balls = 6 Total number of balls =19…

Q: 10. The senior class is 55% female, and 32% are females who play a competitive sport. Find the…

A:

Q: In a game of Jack n Poy, the player that wins 3 times out of 5 games is declared the winner, suppose…

A: Binomial distribution: The probability mass function (pmf) of a binomial random variable X is given…

Q: 1) From experience the manager of a bookstore knows that 40% of the people who come into the store…

A: 1) From experience the manager of a bookstore knows that 40% of the people who come into the store…

Q: f there is a 1 in 1,100 chance that you will pick the numbers correctly in tonight’s lottery, what…

A: Total number of numbers in a lottery = 1100 No.of numbers pick correctly in tonight’s lottery = 1…

Q: A doctor is called to see a sick child. The doctor has prior information that 90% of sick children…

A: Given Let F stand for an event of a child being sick with flu M stand for an event of a child being…

Q: The weekly average number of airplane crashes is 3. Whatis the probability that there will be (a) at…

A: It is an important part of statistics. It is widely used.

Q: A company requires all job applicants to undergo drug testing for employment. If the applicant has…

A: The given probabilities are P(positive result given drugs has been used)=0.90P(negative result given…

Q: A drag racer has two parachutes, a main and a backup, that are designed to bring the vehicle to a…

A: Let p1 and p2 be the probability of the first parachute deploys successfully and p2 be the…

Q: A certain airline books 250 passengers for a certain flight that can seat only 212. If past studies…

A: