A telephone exchange receives, on average, 5 calls per minute. Find the probability (i) that in a 1-minute period no calls are received; (ii) that in a 2-minute period fewer than 4 calls are received; (iii) that in a 20-minute period no more than 102 calls are received;
Q: Assume that A, B and C are three independent events such that P (A) = 0.2, P (B) = 0.5 and P (C) =…
A: Given: PA=0.2PB=0.5PC=0.1 A, B and C are independent events. Since they are independent events,…
Q: A varsity football player successfully scores 84% of all the field goals he kicks during in-season…
A: Given that A varsity football player successfully scores 84% of all the field goals he kicks during…
Q: Of the 12 times a bird lands in a tree, he chooses a red maple 4 times. Find the empirical…
A: Given that of the 12 times a bird lands in a tree, he chooses a red maple 4 times. We have to find…
Q: Find the probability that the average effective time of the pain relief drug for a sample of 25…
A: The mean is 2 hours and the standard deviation is 0.20 hours.
Q: Suppose that voters arrive at a polling station at the rate of 120 per hour. Find the probability…
A: Given: The probability having 200 voters that will arrive within two hours of each other. Hence,…
Q: 84% of all the field goals he kicks during in-season games. Assume each kick is independent of the…
A: Let X be the random variable from binomial with probability (p) = 84% = 0.84 and sample size (n) =…
Q: Assume that private preschool costs in the city are normally distributed. The average amount that…
A: We are given that,
Q: Consider the case when the predetermined average number of bus arrivals at the Cubao station is 6…
A: Solution: Let X be the number of buses arriving a 15 minute period. From the given information,…
Q: A physics class has 50 students. Of these, 18 students are physics majors and 16 students are…
A: From the given information, total number of students n(S) = 50. Number of physics majors n(Physics)…
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: In a certain city district, the need for money to buy drugs is stated as the reason for 63% of all…
A: Solution-: Given: n=5,p=0.63 (Or 63%) Our aim to find, (a) P(X=2)=? (b) P(X≤3)=?
Q: Assume that there are 15 board members: 10 females, and 5 males including Joe. There are 2 tasks to…
A: Given information: According to the given information, the total number of board members is n(S) =…
Q: You have 4 pennies (1¢ each) and 3 nickels (5¢ each) in your pocket. You reach in and blindly grab…
A:
Q: The bison population lives and breeds in the central and northern regions of the Yellowstone…
A: Let X be a random variable representing the number of bison sightings such that the rate of bison…
Q: following table. Procurement Cost($) 10 11 12 on is Probability 0.25 0.45 0.30 Labor Cost ($) 20 22…
A: Given data: Procurement cost Probability Labor cost Probability Transportation cost Probability…
Q: 8% of all Americans live in poverty. If 48 Americans are randomly selected, find the probability…
A: given data sample size n = 48population proportion who lives in poverty = p = 0.08x= no. of people…
Q: During emergency, incoming calls to an emergency hotline numbe are independent from one another.…
A:
Q: Customers enter a department store at random at an average rate of six per minute. Determine the…
A:
Q: What is the probability of getting exactly 10 customers during an 8-minute interval?
A:
Q: The average number of field mice per acre in a 7-acre wheat field is estimated to be 13. (a) Find…
A: To find, a) Find the probability that fewer than 10 field ice are fouund on a given acre. b) Find…
Q: A batch of 100 cords has 8 defective cords. If 4 cords, taken at random from the batch, are to be…
A:
Q: Suppose 30% of smoke alarms produced by a company are defective. A family purchases 3 smoke alarms…
A:
Q: During a Kansas tornado season, the probability a local grocery store experiences power outage on…
A: (d) On at least one day: P(At least 1 day)= 1- P(None of days) --(1) So 1st we need to find P(None…
Q: In economics, of all new products put on the market, 60% failed and are taken off the market within…
A: Given: P = 60 % = 0.60 n = 80 q = 1-0.60 = 0.40 Probability that with in 2 years 57 or more will…
Q: If a fair coin is successively tossed, find the probability that the first head appears on the fifth…
A:
Q: In a tournament, the first team that wins 4 out of 7 games wins. Suppose that the probability that…
A: The tournament will have more than 6 games if each team wins 3 games after fist six matches. The…
Q: A restaurant has 5 lines. Customers being dispatched to each line at a .25 probability. If customers…
A: GivenThe number of lines in restaurant or number of service s=5The customers arrive at the…
Q: The best free throw shooter in NBA history is Stephen Curry who has made 91% of his free throw…
A: Let be the number of number of free throws.The probability of making free shot: The total number…
Q: An emergency center receives an average of 4 emergency calls in 10 minute intervals. How much the…
A:
Q: A tennis player makes a successful first serve 30% of the time. If she serves 33 times, what is the…
A: Solution: Let X be the number of first serves and n be the number of times she serves. From the…
Q: Consider the case where the predetermined average number of bus arrivals at the Cubao Station is 6…
A: As given, the average number of bus arrivals at the Cubao Station is 6 per 15-minute period. This…
Q: In the past 20 races, there was two A-class horses to participate in each race. And there was ten…
A: two A class horses participate in each race but only one can win championship. and out of 20 races…
Q: Suppose Emerson loses 33% of all checker games. Use this result to determine the probability that…
A: Given information- Probability of losing checker game, q = 0.33 Probability of winning checker game,…
Q: In average the number of people entering the intensive care unit at the particular hospital on any…
A: Step 1: Identify the formula to be usedWe will use Poisson distribution in this case since there is…
Q: In a clinical trial, 3% of the patients in the study experienced fatigue as a side effect. Suppose…
A: Given that n=20 , p=3%=0.03 , q=1-p=1-0.03=0.97 X~Binomial(n=20 , p=0.03) X=Number of the patients…
Q: During a Kansas tornado season, the probability a local grocery store experiences power outage on…
A: (c) On none of the days: P(None of days)= (1-0.125)5 P(None of days)=(0.875)5 P(None of days)=…
Q: in a quiet group of eight people, the probability of one person starting to speak is 1/3. What is…
A: Basic probablility
Q: The probability of occurance of two two events A and B are 1/4 and 1/2 respectively. The probability…
A:
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- Suppose that the probability that a child living in an urban area in the United States is obese is 20%. If a social worker sees 15 children living in urban areas, what is the probability that 5 are obese? Enter response as .xxxxBased on a survey, assume that 33% of consumers are comfortable having drones deliver their purchases. Suppose we want to find the probability that when six consumers are randomly selected, exactly three of them are comfortable with the drones. What is wrong with using the multiplication rule to find the probability of getting three consumers comfortable with drones followed by three consumers not comfortable, as in this calculation: (0.33)(0.33)(0.33)(0.67)(0.67)(0.67) = 0.0108? Choose the correct answer below. A. The event that a consumer is comfortable with drones is not mutually exclusive with the event that a consumer is not comfortable with drones. B. The probability of the second consumer being comfortable with drones cannot be treated as being independent of the probability of the first consumer being comfortable with drones. O C. There are other arrangements consisting of three consumers who are comfortable and three who are not. The probabilities corresponding to those other…A physics class has 50 students. Of these, 11 students are physics majors and 16 students are female. Of the physics majors, three are female. Find the probability that a randomly selected student is female or a physics major. The probability that a randomly selected student is female or a physics major is (Round to three decimal places as needed.) ******************
- A baseball player has a batting average of .211 (in other words, he gets a hit 21.1 % of the time that he goes up to bat). If he goes up to bat 13 times, what is the probability that he will get exactly 4 hits?The genotype of an organism can be either normal (wild type, W) or mutant (M). Each generation, a wild type individual has probability 0.03 of having a mutant offspring, and a mutant has probability 0.005 of having a wild type offspring.A factory produces a particular electrical component. On average, the probability that a component will be faulty is 0.16, independently of each other. The company sells the electrical component in a box of 7. Calculate the probability of having at least 1 faulty components. (2 d.p.)
- Jack has just been given a ten-question multiple choice quiz in history class. Each question has five answers, of which only one is correct. Since Jack has not attended class recently, he does not know any of the answers. Assuming Jack guesses randomly on all ten questions, find the probability that he will answer six or more of the questions correctly and avoid an F.An airline sell 200 tickets for a certain flight on an airplane that has only 198 seats because, on the average, 1% of purchasers of airline tickets do not appear for the departure of their flight. Determine the probability that everyone who appears for the departure of this flight will have seat.On the average the traffic pattern at an intersection is as follows: • Twice as many cars go through as the number of vans, bicycles and trucks combined. • Twice as many vans go through as the number of bicycles and trucks combined. • Half as many trucks go through as the number of bicycles. Calculate the probability that the next vehicle to go through is a truck or a car. (19/27)
- A factory produces a particular electrical component. On average, the probability that a component will be faulty is 0.16, independently of each other. The company sells the electrical component in a box of 7. Calculate the probability of having at least 1 faulty components. (2 d.p.)A car insurance company has determined that 9% of all drivers were involved in a car accident last year. Among the 10 drivers living on one particular street, 3 were involved in a car accident last year. If 10 drivers are randomly selected, what is the probability of getting 3 or more who were involved in a car accident last year? O a. O b. O C. O d. 0.4435 0.9548 0.0541 0.0452A survey of randomly selected 10000 college faculty members shows that 50% of the faculty own a car, 25% own a bicycle, and 9% own both. Find the probability that a faculty member chosen at random owns a car or a bicycle (or both).