A sales firm receives, on average, 3 calls per hour on its toll-free number. For any given hour, find the probability that it will receive the following using the Poisson table. (a) At most 3 calls (b) At least 3 call
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A sales firm receives, on average, 3 calls per hour on its toll-free number. For any given hour, find the probability that it will receive the following using the Poisson table. (a) At most 3 calls (b) At least 3 calls
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- A family has two cars that are insured, a sports car and a commuting vehicle. The probability that the sports car is in an accident in the next 4 years is 0.014. The probability that the commuting vehicle is in an accident in the next 4 years is 0.004. Assuming that accidents are independent events, compute the probability that at least one of the two cars is in an accident in the next 4 years. Use three decimal place accuracy. (Don't hand writing solution)Assume that when adults with smartphones are randomly selected, 45% use them in meetings or classes. If 9 adult smartphone users are randomly selected, find the probability that at least 2 of them use their smartphones in meetings or classes. The probability is. (Round to four decimal places as needed.)Industrial Robots are programmed to operate through microprocessors. The probability that one such computerized robot breaks down during any one 8-hour shift is 0.2. Find the probability that the robot will operate for at most five shifts before breaking down twice.
- While driving in the car with his family Jeffery likes to look out the window to find punch buggies. On average Jeffery see 3.85 punch buggies per hour. Assume seeing punch buggies follows a poisson process. A. Find the probability Jeffrey sees exactly 2 punch buggies in an hour. B. Find the probability Jeffrey sees more than 2 punch buggies in an hour.Assume that when adults with smartphones are randomly selected, 55% use them in meetings or classes. If 6 adult smartphone users are randomly selected, find the probability that exactly 3 of them use their smartphones in meetings or classes. The probability is (Round to four decimal places as needed.)Assume that when adults with smartphones are randomly selected, 52% use them in meetings or classes. If 25 adult smartphone users are randomly selected, find the probability that exactly 19 of them use their smartphones in meetings or classes. The probability is. (Round to four decimal places as needed.)
- A local company has two identical lathe machines which are operated independently. A log is kept for each of the two machines and Table QII below shows the number of times that each machine has been operational in the last twelve months. Lathe Status Number of times working Number of times not working A B 780 650 220 350 Table QII Draw the probability tree diagram and solve following questions Q1 If two machines are dependent what is the probability of either lathe working at the visit of supervisor? Q2 What is the probability that only one lathe would broke down? Q3 What is the probability that at least one lathe would have broken down ?The probability that a new computer functions for over 10,000 hours is 0.8, the probability that it functions for over 20,000 hours is 0.4 and the probability that it functions for over 30,000 hours is 0.1. If a new computer is still working after 10,000 hours, what is the probability that i. its total life will exceed 20,000 hours;ii. its additional life will exceed 20,000 hours?SOLVE STEP BY STEP IN DIGITAL FORMAT 10. The semarnat has set the average number of bacteria per cm3 of water at 70, as a limit. An average value greater than 70 can cause hepatitis in people who eat clams. It has been shown that the probability distribution of the number of bacteria can be modeled as a normal one. In order to decide if certain waters meet the standard, nine water samples were taken, and the following bacteria counts were obtained: 69,74,75,70,72,73,71,73,68. Do the data show that the waters are safe for fishing, at the 5% level of significance?
- A magazine subscription service is having a contest in which the prize is 180000. If the company receives 3 million entries, which is the expection of the contest?Assume that when adults with smartphones are randomly selected, 54% use them in meetings or classes. If 10 adult smartphone users are randomly selected, find the probability that at least 8 of them use their smartphones in meetings or classes. The probability is. (Round to four decimal places as needed.)
