The survival rate during a risky operation for patients with no other hope of survival is 82%. What is the probability that exactly four of the next five patients survive this operation? (Give your answer correct to three decimal places.)

Q: In a recent study nationwide, it was found that 41% of people own dogs. If you pick two people at…

A: Given that  It was found that 41% of people own dogs. P(Dog) = 41% = 0.41   We know that…

Q: A piece of wire 6 in. long is cut into two pieces at a random point. Whatis the probability that…

A: To find: The probability that both pieces of wire will be at least 1 inch long. Given: The length of…

Q: The average number of matches in which Galatasaray football team's football matches were postponed…

A: we have given that  the number of matches follow the Poisson distribution with parameter(lambda)= 5

Q: From experience, the manager of Kramer's Book Mart knows that 60% of the people who are browsing in…

A:

Q: The auto parts department of an automotive dealership sends out a mean of 3.6 special orders daily.…

A: Consider X be random variable which follows Poisson distribution indicating the number of special…

Q: At a certain car dealership, the probability that a customer purchases an SUV is 0.15. Given that a…

A: Solution: From the given information, the probability that a customer that a customer purchases an…

Q: The survival rate during a risky operation for patients with no other hope of survival is 71%. What…

A: Given information- We have given a problem of the binomial distribution. Probability of survival, p…

Q: According to government data, the probability that an adult was never in a museum is 15%. In a…

A: Given,n=10p=0.15q=0.85A random variable X~Binomial(n=10 , p=0.15)P(X=x)=Cx100.15x0.8510-x    ;…

Q: In a large population, 57 % of the people have been vaccinated. If 5 people are randomly selected,…

A: We have given that  Sample size n= 5 Success of probability p=57%=0.57 X~binomial ( n ,p)

Q: If records indicate that 2 houses out of 1000 are expected to be damaged by fire in any year, what…

A: Let us denote X= number of damaged houses Given that the probability of a damaged house= 2/1000 =…

Q: For a sales promotion, the manufacturer places winning symbols under the caps of 29% of all its soda…

A:

Q: A bottle maker believes that 10% of his bottles are defective. If the bottle maker is right, what…

A: Obtain the probability that the proportion of defective bottles in a sample of 599 bottles would be…

Q: ACcording to a study conducted by a public health school, a child seated in the front seat who was…

A: Given to a study conducted by a public health school, a child seated in the front seat who was…

Q: Suppose that on the average, 8 students enrolled in a small liberal arts college have their…

A:

Q: In a recent study nationwide, it was found that 51% of people lost their keys in the past year. If…

A:

Q: From experience, an airline knows that only 72% of the passengers booked on a flight from New York…

A: Given, p = 0.72 n = 7 r = 4 From the given information it follows binomial  distribution.       To…

Q: In the experiment of rolling a die, what is the probability of obtaining an even number given that…

A:

Q: An office receives 20 faxed orders every two hoursWhat is the probability that more than 12 minutes…

A: On an average, an office receives 20 faxed orders every two hours. To find: Probability that more…

Q: Recently, a nurse commented that when a patient calls the medical advice line claiming to have the…

A: Formula, : Binomial distribution is given by

Q: probability that exactly two dog bite victims will arrive?

A: Here use poission distribution for  because rate of victims per days bite by dog is constant for…

Q: Suppose a birth control pill is 98% effective in preventing pregnancy. (Round your answers to three…

A: Let us denote X= number of non-pregnant women  n= number of trials= 100 p= probability of a success=…

Q: From experience, an airline knows that only 73% of the passengers booked on a flight from New York…

A: Given,n=7p=0.73q=1-0.73=0.27A random variable X~Binomial(n=7 , p=0.73)P(X=x)=Cx7 0.73x0.277-x  ;…

Q: Patients arrive at a hospital and emergency department at random at a rate of 6 per hour. Find the…

A: From the given information, Patients arrive at a hospital and emergency department at random at a…

Q: Maggie is practicing her penalty kicks for her upcoming soccer game. During the practice, she…

A: Let X denote the number of goals she scored. Then X follows a Binomial distribution with n= 10 and…

Q: From experience, an airline knows that only 73% of the passengers booked on a flight from New York…

A:

Q: A survey of 2,350 adults reported that 54​% watch news videos. Suppose that you take a sample of…

A: For a random sample of 500 adults, 54​% watch news videos.

Q: A recent study has shown that a new treatment cures a certain disease 66% of the time. If this…

A: We have to use Binomial distribution. Binomial distribution : If x follows Binomial distribution…

Q: According to a study conducted by the a public health school, a child seated in the front seat who…

A: Let the events,A: Airbag deploys during an accident,K: Child is killed.It is given that airbags…

Q: On average, Colby has noticed that 21 trains pass by his house daily (24 hours) on the nearby train…

A: Given that, 21 trains pass by his house daily, Probability that at most 6 trains in 12 hours:

Q: In a recent year, there were 2,515,458 deaths, and 787,650 of them were due to cardiovascular…

A: Total number of deaths = 2515458Number of deaths due to cardiovascular disease = 787650…

Q: A pharmacist receives a shipment of 18 bottles of a drug and has 3 of the bottles tested. If 5 of…

A: 20) A pharmacist receives of shipment of 18 bottles of a drug and 3 of the bottles are tested. If 5…

Q: The odds against an event E occurring are 4 to 3. What is the probability that E will occur?

A: Odds against of event E=4:3, where 4-non occurred and 3-occured

Q: In a large population, 58% of the people have been vaccinated. If 3 people are randomly selected,…

A: Given, 58% of the people have been vaccinated. that is

Q: A recent survey found that​ 70% of all adults over 50 wear sunglasses for driving. In a random…

A: Given that in a recent survey found that​ 70% of all adults over 50 wear sunglasses for driving.…

Q: Records kept by the National Ski Patrol and the National Safety Council show that, over a period of…

A: According to the provided information, over a period of 14 years, 52.25 million people visited the…

Q: According to a study on teenage shopping behavior, it was found that 74% of female teens regularly…

A: Answer: Given that: p= 0.74 , n= 6 now will use Binomial probability P(X=x)=nx*px*(1–p)n–x,where…

Q: Suppose 50% of the children in a school are girls. If a sample of 890 children is selected, what is…

A: 26. Given that 50% of the children in a school are girls. And there are 890 children is selected.…

Q: According to a study on teenage shopping behavior, it was found that 75% of female teens regularly…

A: Solution: Let X be the number of teenagers do their shopping in stores and n be the number of…

Q: (a) If Tommy has missed a shot, what is the probability that he will score two shots later? (b) In…

A: a ] Here we will make transition probability matrix P : Where Row 1 is representing the…

Q: According to a study conducted by the a public health school, a child seated in the front seat who…

A:

Q: From experience, an airline knows that only 72% of the passengers booked on a flight from New York…

A: Let p=Probability of success i.e someone showing upp=0.72n=sample size=6x=number of people that…

Q: Maggie is practicing her penalty kicks for her upcoming soccer game. During the practice, she…

A: It is given that the n = 10 and p = 0.75.

Q: According to a study conducted by the a public health school, a child seated in the front seat who…

A: Let C= event that a child was killed B= event that the airbag deployed Given that P(C|B)=1.79P(C|B')…

Q: In a large on-the-job training program, half of the participants are female and half are male. In a…

A:

Q: From experience, the manager of Kramer's Book Mart knows that 30% of the people who are browsing in…

A: Given dataProbability of the people who are browsing in the store will make a purchase…

Q: The probability of a hurricane hitting Houston is 1 in 18. The probability of any hurricane being…

A: Given that  P(a hurricane hitting Houston) = 1/18  P(hurricane being category 3 or higher) = 3/10…

Q: Michael is given 5 wads of paper to shoot into the basket, with a 90% accuracy rate. What is the…

A: We have to find probability that Michael will be successful with at least 4 of those shots

Q: If the weight (in grams) of cereal in a box of Lucky Charms is N(485,3), what is the probability…

A:

Q: In a new fiber-optic communication system, trans- mission errors occur at the rate of 1.5 per twenty…

A: Given,The average no.of errors occur per twenty seconds is 1.5so, the average no.of errors occur per…

Q: At a store, the average number of customers entering is 25 persons per half an hour. What is the…

A: