both of their eyes. The to the following probability model: m₂ Pi 0 0.2 m₁ Pi 1 0.4 0 0.2 2 0.2 A good day for the nurse is when he finds at least 2 cases of cataract in that day. a. What is the probability that in a year of working, i.e., during 240 working days, he has at least 100 good days? (You may assume that the number of cases detected on any given day is independent of the number detected on any other day.) b. How many working days does it take for the nurse to have at least 100 good days with a probability of at least 95% ? Give enough explanation about your method of working. Suppose now that the number of cases detected is distributed in a slightly different way, as in the following table, where two of the probabilities are as yet unknown. 1 0.4 3 0.1 2 0.2 4 0.1 3 a 4 b c. Find the values for a and b if you know that the standard deviation is equal to 1.06.

both of their eyes. The to the following probability model: m₂ Pi 0 0.2 m₁ Pi 1 0.4 0 0.2 2 0.2 A good day for the nurse is when he finds at least 2 cases of cataract in that day. a. What is the probability that in a year of working, i.e., during 240 working days, he has at least 100 good days? (You may assume that the number of cases detected on any given day is independent of the number detected on any other day.) b. How many working days does it take for the nurse to have at least 100 good days with a probability of at least 95% ? Give enough explanation about your method of working. Suppose now that the number of cases detected is distributed in a slightly different way, as in the following table, where two of the probabilities are as yet unknown. 1 0.4 3 0.1 2 0.2 4 0.1 3 a 4 b c. Find the values for a and b if you know that the standard deviation is equal to 1.06.

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

See similar textbooks

Similar questions

A study by the National Park Service revealed that 50 percent of vacationers going to the Rocky Mountain region visit Yellowstone Park, 40 percent visit the Grand textons. and 15% vists both. What is the probability that a vacationer visits two of these magnificent attractions? 0.25 0.90 0.56 0.15 0.65
I need help.
A pharmaceutical company receives large shipments of aspirin tablets. The acceptance sampling plan is to randomly select and test 22 tablets, then accept the whole batch if there is only one or none that doesn't meet the required specifications. If a particular shipment of thousands of aspirin tablets actually has a 6% rate of defects, what is the probability that this whole shipment will be accepted? ... The probability that this whole shipment will be accepted is (Round to three decimal places as needed.)
A pharmaceutical company receives large shipments of aspirin tablets. The acceptance sampling plan is to randomly select and test 52 tablets, then accept the whole batch if there is only one or none that doesn't meet the required specifications. If one shipment of 4000 aspirin tablets actually has a 5% rate of defects, what is the probability that this whole shipment will be accepted? Will almost all such shipments be accepted, or will many be rejected? The probability that this whole shipment will be accepted is ______ (Round to four decimal places as needed.) The company will accept ____% of the shipments and will reject ____% of the shipments, so______________ (many of the shipments will be rejected or almost all of the shipments will be accepted. (Round to two decimal places as needed.)
Coach purchases leather gloves from Adriste Philippines, Inc. API has informed Coach that the defective rate of the gloves is 3%. Mitch, the third party inspector contracted by Coach randomly selects 20 pairs of gloves from the shipment. What is the probability that there will be at least one defective item among these 20 pairs?
Data from 14 cities were combined for a 20-year period, and the total 280 city-years included a total of 87 homicides. After finding the mean number of homicides per city-year, find the probability that a randomly selected city-year has the following numbers of homicides, then compare the actual results to those expected by using the Poisson probabilities: Homicides each city-year a. 0 b. 1 C. 2 d. 3 e. 4 Actual results 205 64 10 1 0 a. P(0) = (Round to four decimal places as needed.) b. P(1) = (Round to four decimal places as needed.) c. P(2) = (Round to four decimal places as needed.) d. P(3)= (Round to four decimal places as needed.) e. P(4)= (Round to four decimal places as needed.)
Response team hears directly from consumers about the challenges they face in the marketplace, brings their concerns to the attention of financial institutions, and assists in addressing their complaints. An analysis of complaints registered recently indicates that the mean number of vehicle lease complaints registered by consumers is 3.5 per day. Assume that the number of vehicle lease complaints registered by consumers is distributed as a Poisson random variable. What is the probability that in a given day d. fewer than two vehicle lease complaints will be registered by consumers?
A pharmaceutical company receives large shipments of ibuprofen tablets and uses this acceptance sampling plan: randomly select and test 22 tablets, then accept the whole batch if there is at most one that doesn't meet the required specifications. If a particular shipment of thousands of ibuprofen tablets actually has a 6% rate of defects, what is the probability that this whole shipment will be accepted?Binomial Calculator(Report answer as a decimal value accurate to four decimal places.)P(accept shipment) =
A professional tennis player claims to get 90% of her second serves in. In a recent match, the player missed 5 of her first 20 second serves. Is this a surprising result if the player's claim is true? Assume that the player has a 0.10 probability of missing each second serve. We want to carry out a simulation to estimate the probability that she would miss 5 or more of her first 20 second serves. The dotplot displays the number of second serves missed by the player out of the first 20 second serves in 100 simulated matches. ▪………………………. ●●●●●●●●●●●●●● A●●●●●●●● …………….. 1 2 3 4 5 6 Number of missed serves in simulated match 7 Is there convincing evidence that the player misses more than 10% of her second serves? Why or why not? No, there is not convincing evidence that the player misses more than 10% of her second serves. Missing 5 out of 20 is better than expected. No, there is not convincing evidence that the player misses more than 10% of her second serves. Assuming the player makes…
A pharmaceutical company receives large shipments of aspirin tablets. The acceptance sampling plan is to randomly select and test 47 tablets, then accept the whole batch if there is only one or none that doesn't meet the required specifications. If one shipment of 6000 aspirin tablets actually has a 3% rate of defects, what is the probability that this whole shipment will be accepted? Will almost all such shipments be accepted, or will many be rejected? The probability that this whole shipment will be accepted is (Round to four decimal places as needed.)