If 3% of all cars fail the emissions inspection, find the probability that in a sample of 90 cars, 3 will fail. Use the Poisson approximation
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If 3% of all cars fail the emissions inspection, find the probability that in a sample
of 90 cars, 3 will fail. Use the Poisson approximation
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- Before every flight, the pilot must verify that the total weight of the load is less than the maximum allowable load for the aircraft. The aircraft can carry 40 passengers, and a flight has fuel and baggage that allows for a total passenger load of 6,250 lb. The pilot sees that the plane is full and all passengers are men. The aircraft will be overloaded if the mean weight of the passengers is greater than 6,250 lb / 40 = 163 lb. What is the possiblity that the aircraft is overloaded? Should the pilot take any action to correct an overloaded aircraft? Assume that the weights of men are normally distributed with a mean of 177.3 lb and a standard deviation of 39.3 The probability is approximatelySamples are drawn from a population with mean 144 and standard deviation 43. Each sample has 12 randomly and independently chosen elements. Find the mean, uz, of the distribution of sample means.Suppose we want to test the hypothesis that mothers with low socioeconomic status (SES) deliver babies whose birth weights are different from normal. To test this hypothesis, a random sample of 100 birth weights is selected from a list of full-term babies of SES mothers. The mean birth weight is found to be 115 oz. Suppose the average birth weight of all babies (based on nationwide surveys of millions of deliveries) is known to be 120 oz with = 24 oz. Set = .05 Assume all conditions are met, what is the p-value of their test? Give your answer to 4 decimal places.
- Suppose that there are 4 deaths due to stomach can- cer among workers in a tire plant from 1/1/64 to 12/31/83, while 2.5 are expected based on U.S. mortality rates. Provide a 95% CI for the expected number of deaths from stomach cancer over 20 years among the tire workers. Is the number of cases of stomach cancer excessive?5a.) Draw the graphs. Round your final answers up to 6 decimal places, if applicable. Give the correct units.Greg is in his first semester at a university and is taking a calculus course with a large enrollment. He just took the first midterm exam and is nervous about his score. Among all the students in the course, the mean of the exam was 85 with a standard deviation of 15.Find that grag has obtain less then 95.
- A doctor studies which type of coronavirus vaccine is best effective.he buys 5 types of vaccines and observes one week from 8am t0 11am ,he measures the pulse rate of each person on of the 10 vacciens Identify the study 1 observational study 2 controlled experiment 3 stratified experiment 4 paired data experiemtnThe Abendigo Division of Block C Enterprises has a product designed to operate for 1000 hours with a failure rate of 2.2%. Calculate the Mean Time to Failure.Suppose a batch of metal shafts produced in a manufacturing company have a variance of 7.84 and a mean diameter of 201 inches. If 89 shafts are sampled at random from the batch, what is the probability that the mean diameter of the sample shafts would be less than 201.2 inches? Round your answer to four decimal places. don't forget to round
- An advertising agency that serves a major radio station wants to estimate the mean amount of time that the station’s audience spends listening to the radio daily. From past studies, the standard deviation is estimated as 45 minutes. What sample size is needed if the agency wants to be 99% confident of being correct to within ±5 minutes?Among 157 Cuban American men ,the mean systolic blood pressure was 146 mm Hg with a standard deviation of 27. We wish to know if based on these data, we may conclude that the mean systolic blood pressure for a population of Cuban American is greater than 140. Use α=0.01 (solve without excel) , show workThe occurrence of traffic accidents at an intersection may be modeled as a Poisson process. Based on historical records the average rate of accidents is once every 6 years. Part 1 What is the probability that there will be no accidents at the intersection for a period of 3 years? (Answer correct to 3 decimal places.) number (rtol=0.001, atol=D0.001) Part 2 Suppose that in every accident at the intersection, there is a 5% probability of fatality. Based on the above Poisson model what is the probability of one traffic fatality at this intersection in a period of 3 years? (Answer correct to 3 decimal places.) Hint: Note that here you need to find the mean rate of fatalities per year, first. number (rtol=0.001, atol=D0.001)
