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At an estate agent, house sales occur randomly and independently at an average rate of 2...
An estate agent sells properties at a mean rate of 7 per week. 1 Suggest a...
An estate agent sells properties at a mean rate of 7 per week. 1 Suggest a suitable model to represent the number of properties sold in a randomly chosen week. Give two reasons to support your model. 2 Find the probability that in any randomly chosen week the estate agent sells exactly 5 properties. 3 Using a suitable approximation find the probability that during a 24 week period the estate agent sells more than 181 properties.
Calls received by a car rescue service occur independently and at a constant average rate of...
Calls received by a car rescue service occur independently and at a constant average rate of 3 per minute. a. Find the probability that, in a randomly chosen period of 1 minute, the number of calls received by the service is (I) none (II) at least3 (IIID between 2 and 5 (inclusive) b. Find the probability that, in a randomly chosen period of 4 minute, the number of calls received by the service is exactly 14. Find the probability that,...
A real estate agent works 9 am to 5 pm, Monday through Friday. The average number...
A real estate agent works 9 am to 5 pm, Monday through Friday. The average number of sales call this agent gets is 6 per day. Furthermore, assume that the probability of a sales call for this agent is the same for any two days and the sales call in one day are independent of sales call on any other day. Using this information to answer the following questions (40 through 43) pls show work 40. What is the probability...
9. Births in a hospital occur randomly at an average rate of 1.8 births per hour. process is a Po...
please solve all questions... emergency
9. Births in a hospital occur randomly at an average rate of 1.8 births per hour. process is a Poisson random variable. Assume that birth (3 pts) What about the probability of observing more than or equal to 2 births in a given hour at the hospital? b. e opo Wahat he probabiliy h dly 10 biths n day t d. What is the expected number of births in two hours? 10. Suppose that on...
2. The mean number of houses sold per week by a real estate agent is two....
2. The mean number of houses sold per week by a real estate agent is two. Find the probability that the agent sells three or more houses in a week. Maintain a minimum of 4 decimal places for intermediate calculations.
flaws occur randomly in a roll of fabric at an average rate of 1.5 per meter...
flaws occur randomly in a roll of fabric at an average rate of 1.5 per meter length a) find the probability that in a randomly chosen one-meter length there are more than two flaws b)find the probability that in a randomly chosen two-meter length there are no flaws c) what is the standard deviation of the number of flaws in a four-meter length?
2. During the summer months of June, July, and August, an average of 5 marriages per...
2. During the summer months of June, July, and August, an average of 5 marriages per month take place in a small city. Assuming that these marriages occur randomly and independently of one another, and assuming a Poisson distribution, find the following: (a) The probability that 4 marriages will occur in June. (b) The probability that between 14 and 16 marriages (inclusive) will occur over the 3 months of June, July, and August (c) The probability that at at least...
Question 1 Snowfalls occur randomly and independently over the course of winter in a Nebraska...
Question 1 Snowfalls occur randomly and independently over the course of winter in a Nebraska city. The average is one snowfall every 3 days. a) What is the probability of 5 snowfalls in 2 weeks? Carry answer to the nearest ten-thousandths b) What is the probability of a snowfall today? Carry answer to the nearest ten-thousandths Question 2 After observing the number of children checking out books, a librarian estimated the following probability distribution of x,...
suppose the number of deaths of a certain cockroach population occur independently at a rate of...
suppose the number of deaths of a certain cockroach population occur independently at a rate of 3 deaths/day i) find the probability of having 3 cockroach deaths in a day ii) if we consider a 20 day sample period, what is the probability that at most 2 of these days have less than 3 deaths? iii) if we consider a random sample of 42 days, what is the probability that the average number of deaths/day is less than 2.5?
Phil Dunphy, a real estate agent, is considering whether he should list an unusual $731,176 house...
Phil Dunphy, a real estate agent, is considering whether he should list an unusual $731,176 house for sale. If he lists it, he will need to spend $4,946 in advertising, staging, and fresh cookies. The current owner has given Phil 6 months to sell the house. If he sells it, he will receive a commission of $23,886. If he is unable to sell the house, he will lose the listing and his expenses. Phil estimates the probability of selling this...
Calls received by a car rescue service occur independently and at a constant average rate of 3 per minute. a. Find the probability that, in a randomly chosen period of 1 minute, the number of calls received by the service is (I) none (II) at least3 (IIID between 2 and 5 (inclusive) b. Find the probability that, in a randomly chosen period of 4 minute, the number of calls received by the service is exactly 14. Find the probability that,...
please solve all questions... emergency
9. Births in a hospital occur randomly at an average rate of 1.8 births per hour. process is a Poisson random variable. Assume that birth (3 pts) What about the probability of observing more than or equal to 2 births in a given hour at the hospital? b. e opo Wahat he probabiliy h dly 10 biths n day t d. What is the expected number of births in two hours? 10. Suppose that on...
2. During the summer months of June, July, and August, an average of 5 marriages per month take place in a small city. Assuming that these marriages occur randomly and independently of one another, and assuming a Poisson distribution, find the following: (a) The probability that 4 marriages will occur in June. (b) The probability that between 14 and 16 marriages (inclusive) will occur over the 3 months of June, July, and August (c) The probability that at at least...
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