15. If 4% of the total output of panels are substandard, find the probability of obtaining 0, 1,2, 3, 4-or-more defectives in a random sample batch of 60 panels.
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15. If 4% of the total output of panels are substandard, find the probability of obtaining 0, 1,2, 3, 4-or-more defectives in a random sample batch of 60 panels.
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- 3. A genetics experiment involves a population of fruit flies consisting of 2 males named Albert and Billy and 2 females named Carla and Dana. Assume that two fruit flies are randomly selected with replacement. a. After listing the possible samples and finding the proportion of males in each sample, use a table to describe the sampling distribution of the proportion of males. Proportion of males Probability 0.5 1 (Type integers or fractions.) b. Find the mean of the sampling distribution. (Round to two decimal places as needed.) c. Is the mean of the sampling distribution [from part (b)] equal to the population proportion of males? If so, does the mean of the sampling distribution of proportions always equal the population proportion? OA. No, the sample mean is equal to the population proportion of males. These values are not always equal, because proportion is an unbiased estimator. OB. Yes, the sample mean is equal to the population proportion of males. These values are always equal,…Suppose the proportion of the people who are married in the population is about 0.54 and consider the following experiment in which a researcher chooses at random 5 people from the population with replacement, recording each individual's marital status. Let the random variable, y, denote the number of people chosen who are married. Please answer the following: How many ways are there to draw exactly 3 married people in this experiment? On average, how many married individuals would be chosen? What is the probability of selecting one or fewer married people in this experment?When 2 births are randomly selected, the sample space for genders is bb, bg, gb and gg. Assume that those 4 outcomes are equally likely. Construct a table that describes the sampling distribution of the sample proportion of girls from 2 births. Dies the mean of the sample proportions equal the proportion of girls in 2 births? Does the result suggest that a sample proportion is an unbiased estimator of a population proportion? For the entire population, assume the probability of having a boy is 1/2, the probability of having s girl is 1/2 and this is not affected by how many boys or girls have previously been born. Determine the probabilities of each sample proportion, (type integers or simplified fractions)
- 1. c) southwestern variable. True False The daily fuel consumption by a fleet of buses serving a large city is an example of a discrete random. List the 10 possible samples (without replacement) of size 2 that can be obtained from the population of five officials. Lieutenant Governor (L) Secretary of State (S) Attorney General (A) Representative (R) Press Secretary (P) b. If a simple random sampling procedure is used to obtain a sample of two officials, what are the chances that it is the first sample on your list in part (a)? the secondsample? the tenth sample?2. A box contains 10 balls. One is numbered 1, two are numbered 2, two are numbered 3, two are numbered 4, and three are numbered 5. The balls are mixed and one is selected at random. After a ball is selected, its number is recorded. Then it is replaced. If the experiment is repeated many times, find the variance of the numbers on the balls. (Round off your final answer to 2 decimal places).
- 12. A biased coin with probability of heads p = 0.6 is thrown 10 times. Find the variance of the number of heads. Give the answer as an irreducible fraction p/q with integer p and q. Answer. enter number enter number11)A courier service company wishes to estimate the proportion of people in various states that will use its services. Suppose the true proportion is 0.03. If 315 are sampled, what is the probability that the sample proportion will be less than 0.05? Round your answer to four decimal places.1. A lawn mower company will produce 1,500 lawn mowers by 2020. In an effort to determine how much maintenance free consumers will take when they already buy lawn mowers, the company decided to conduct a study over the past 1 year of these mowers. . First, a random sample was taken by contacting 200 grass mowers. The company owner provides an 800 number and is asked to contact the company when the first repair is needed for the lawn mower. Owners who no longer use lawn mowers to cut their grass are either disqualified or not sampled. After 1 year, it turned out that 187 owners had reported for the first repair. However, the other 50 disqualified themselves. The average number per year until the first improvement was 5.3 times for samples deemed feasible. It is believed that the standard deviation is 1.28 per year. If the company wants to advertise the lawnmower and with a confidence level of 95%, what is the estimated annual mean value of repair-free lawn mower for this lawn mower?…
- A doctor is interested in the proportion of patients which live at least 5 years after being diagnosed with stage 4 breast cancer. He randomly selects 138 patients diagnosed with stage 4 breast cancer and follows them for 5 years. Suppose the true 5 year survival rate for stage 4 breast cancer is 38%. 1. How are the collection of all sample proportions of samples of size 138 distributed? NO 2. What is the probability that fewer than 34% of the patients studied survived for at least 5 years? o List the z-scores needed to calculate the result. If there is more than one z-score, separate the values with a comma. o There is a survived for at least 5 years. 3. What is the probability that more than 45% of the patients studied survived for at least 5 years? chance that fewer than 34% of the patients studied o List the z-scores needed to calculate the result. If there is more than one z-score, separate the values with a comma. O There is a survived for at least 5 years. chance that more than…6. In a survey of 460 drivers from the South, 394 wear a seat belt. In a survey of 340 drivers from the Northeast, 287 wear a seat belt. At x = 0.09, can you support the claim that the proportion of drivers who wear seat belts is greater in the South than in the Northeast? Assume the random samples are independent. Complete parts (a) through (e). (a) Identify the claim and state Ho and Ha. The claim is "the proportion of drivers who wear seat belts in the South is greater than in the Northeast." Let p, represent the population proportion for the South, and p2 represent the population proportion for the Northeast. State Ho and Ha- Choose the correct answer below. C. Ho: P1 2 P2 Ha: P1 P2 Ha: P1 SP2 B. Ho: P1 P2 (b) Find the critical value(s) and identify the rejection region(s). The critical value(s) is(are) (Use a comma to separate answers as needed. Type an integer or a decimal. Round to two decimal places as needed.) Identify the rejection region(s). Select the correct choice below…
