Consider a Uniform Distribution U(10, 110), compute the conditional probability P(x > 37 | x < 72)
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- If the mean number of accidents occur per day in a city is 0.6, then using Poisson probability distribution find the probability ofa) at least 3 accidents per dayb) at most 3 accidents per daya) A company that does business in real estate buys properties in a metropolitan area. The company has a policy of making an offer of 20 percent less than the advertised price for cash sale. If one out of five vendors accept such an offer, find the probability that for the next 100 offers that will be made, between 14 and 35 vendors (inclusive) will accept the company’s offer? Use normal approximation of the binomial distribution with continuity correction. (b) There is a total of 80 shipping containers in a terminal. An inspector selects a random sample of 10 of these containers and finds that the mean weight of a container is 23.6 tons with a standard deviation of 2.5 tons. If a crane operator picks 5 of these containers randomly, what is the probability that the mean container weight of his sample of 5 containers will exceed 25 tons? Use finite population correction factor and assume normalityData packets pass through a router on a computer network at a constant rate of 3 packets per millisecond. Suppose that each such packet will be intercepted with probability 0.66, independently of all other packets. a) What is the probability that at least 1 packet will be intercepted during the next millisecond, rounded to two decimal places? b) What is the expected value of the number of packets that will be intercepted during the next millisecond? c) What is the variance of the number of packets that will be intercepted during the next millisecond?
- Let X be a random variable corresponding to the number of shoppers that enter a mall at a given time of the day. It X is known to be a Poisson variable with an average of 10 shoppers per minute, determine the probability that there are 12 shoppers who will enter the mall in the next 90 seconds. Select the correct response: 0.1024 0.0829 0.0956 0.1298In analyzing hits by certain bombs in a war, an area was partitioned into 585 regions, each with an area of 0.35 km². A total of 545 bombs hit the combined area of 585 regions. Assume that we want to find the probability that a randomly selected region had exactly four hits. In applying the 1- e identify the values of u, x, and e. Also, Poisson probability distribution formula, P(x) = x! briefly describe what each of those symbols represents. Identify the values of µ, x, and e. H=,x=, and e = (Type integers or decimals rounded to five decimal places as needed.) Briefly describe what the symbol u represents. Choose the correct answer below. O A. The symbol µ represents a static value. O B. The symbol µ is a variable that represents the area of each region. O C. The symbol u is a variable that represents the number of occurrences of the event in an interval. O D. The symbol u is a variable that represents the number of occurrences of the event. O E. The symbol u is a variable that…Please Assist Thank you
- The time between arrivals of customers at an automatic teller machine (ATM) is an exponential random variable with a mean of five minutes. a) What is the probability that the time until the third customer arrives in more than 10 minutes? b) what is the value for σ2 for the third customer? c) what is the value for σσ for the third customer ?2) If the mean number of accidents occur per day in a city is 0.6, then using Poisson probability distribution find the probability of a) at least 3 accidents per day b) at most 3 accidents per dayThe waiting times 20 so I departure schedule and the arrival of a passenger are uniformly distributed between zero and nine minutes find the probability that a randomly selected passenger has a waiting time less than 3.75 minutes.