If a motor is selected at random, what is the probability that it has no defects? b) selecting an engine at random, it turned out to be defective, find the probability that it is not the second model
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The motor industry company manufactures engines for four models in the following proportions: 45%, 35%, 15% and 5%, the percentages of production defects for each model are respectively 4%, 6%, 8% and 12%
a) If a motor is selected at random, what is the probability that it has no defects?
b) selecting an engine at random, it turned out to be defective, find the probability that it is not the second model
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- In a town, there are three bridges: Bridge A, Bridge B, and Bridge C. On any given day, the probability of each bridge being open for passage is as follows: P(A) = 0.4, P(B) = 0.3, and P(C) = 0.5. If a resident needs to cross all three bridges in succession, what is the probability of successfully crossing all three bridges without encountering any closures?The Business School at State University currently has three parking lots, each containing 155 spaces. Two hundred faculty members have been assigned to each lot. On a peak day, an average of 70% of all lot 1 parking sticker holders show up, an average of 72% of all lot 2 parking sticker holders show up, and an average of 74% of all lot 3 parking sticker holders show up. a. Given the current situation, estimate the probability that on a peak day, at least one faculty member with a sticker will be unable to find a spot. Assume that the number who show up at each lot is independent of the number who show up at the other two lots. Compare two situations: (1) each person can park only in the lot assigned to him or her, and (2) each person can park in any of the lots (pooling). (Hint: Use the RISKBINOMIAL function.) If needed, round your answer to a whole percentage and if your answer is zero, enter "0". No pooling: Pooling: 51.4 % 83.8 % b. Now suppose the numbers of people who show up at…The three-year recidivism rate of parolees in a certain state is about 20%; that is, 20% of parolees end up back in prison within three years. Assume that whether one parolee returns to prison is independent of whether any of the others return. Complete parts a and b below. Find the probability that exactly 6 out of 20 parolees will end up back in prison within three years. The probability that exactly 6 out of 20 parolees will end up back in prison is nothing.
- Becky and Carla take an advanced yoga class. Becky can hold 29% of her poses for over a minute, while Carla can hold 35% of her poses for over a minute. Suppose each yoga student is asked to hold 50 poses. Let B the proportion of poses Becky can hold for over a minute and C = the proportion of poses Carla can hold for over a minute. What is the probability that Becky's proportion of poses held for over a minute is greater than Carla's? Find the z-table here. O 0.159 O 0,259 0 0.448 O 0,741 Save and Exit Next Submit Math and rem 96 & 7 8 9. 10Task 3. The automobile engine plant delivered a batch of engines to the car assembly plant. 5 engines taken for testing. The probability of each of them to pass the test is 0.95. What is the likelihood that the tests will pass successfully: a) exactly three engines; b) at least three engines; c) all five engines; d) at least one engine?A certain virus affects 0.7% of the population. A test used to detect the virus in a person is positive 88% of the time if the person has the virus (true positive) and 13% of the time if the person does not have the virus (false positive) Fill out the remainder of the following table and use it to answer the two questions below based on a total sample of 100,000 people. a. Find the probability that a person has the virus given that they have tested positive. Round your answer to the nearest hundredth of a percent and do not include a percent sign. b. Find the probability that a person does not have the virus given that they test negative. Round your answer to the nearest hundredth of a percent and do not include a percent sign.
- According to a recent study, 3 in every 8 women has been a victim of domestic abuse. This probability was obtained from a survey of 1,000 adult women. Suppose we randomly sample 25 women and find that 7 have been abused. Complete parts a through c below. G a. What is the probability of observing 7 or more abused women in a sample of 25 if the proportion p of women who are victims of domestic abuse is really p= ㅎ? The probability of observing 7 or more abused women in a sample of 25 is (Round to four decimal places as needed.)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)Task 4. The owner of a farm put 20 000 eggs into incubators, wanting to complete an order for 10 000 cockerels. The principal has determined that the order should be fulfilled with an accuracy of 200 eggs. Calculate the probability of success for the farm owner, knowing that a hen hatches from every second egg.
- The following table indicates the weather changes at a particular location. For example, the day following a clear day, there is a 40% chance that the weather will be clear, a 40% chance that it will be cloudy and a 20% chance that it will be rainy. What is the probability that the weather two days after it rains will be clear? Answer in whole number See attached photoA manufacturer makes two models of an item: model I, which accounts for 75% of unit sales, and model II, which accounts for 25% of unit sales. Because of defects, the manufacturer has to replace (or exchange) 5% of its model I and 10% of its model II. If a model is selected at random, find the probability that it will be defective. Please round the final answer to 2 or 3 decimal places. P(detective)=Please solve for all and explain each step
