Suppose that the weight of a particular hand weight is advertised to be 5 pounds, but it can actually be as little as 4.6 pounds or as much as 5.2 pounds. What is the likelihood that the actual weight of a given hand weight is between 4.9 and 5.1 pounds?
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- The NIH is creating a test for the Zika virus. The incidence of a Zika is low, 11 percent in the general population. There is a trial version, but it sometimes misses the disease. The probability of a false negative is 0.03. Similarly, someone who does not have Zika, will sometimes get a positive reading. The probability of this is 0.1. Fill in the tree diagram and... Answer as a decimal to 4 decimal places. D = event that someone actually has Zika %3D positive = event that a test states that a person has Zika Conditional Marginal Probabilities Joint Probabilities Probabilities 0.9700 Enter an integer or decimal number [more..] P(D and positive) P(positive | D) False 0.1100 0.0300 negative P(D) P(negative | D) P(D and negative) 0.1000 False Positive 0.8900 P(no D) P(positive | no D) P(no D and positive) 0.9000 P(negative | no D) P(no D and negative)A study found that student weights averaged 87.3lb with a SD = 4lb. What is the 2-decimal % probability that an individual student will weight below 85 lb? What is the 2-decimal % probability that a group of 35 students will have a mean weight of over 88 lb?Cody took his first physics exam and scored an 80. The population mean for this exam is 70, and the standard deviation is 5. What is the probability of selecting a person with a score greater than Cody’s?
- A psychologist believes that 65% of male drivers when lost continue to drive hoping to find the location they seek rather than ask directions. To examine this belief, he took a random sample of 350 male drivers and asked each what they did when lost. Assume that the sampling distribution of the sample proportion of male drivers who continue driving is at least approximately normal. If the belief is true, determine the probability that less than 60% said they continue driving. Show your work belowA reseacher desires to know if the age of a child is related to the number of cavities he or she has.A certain virus affects 0.7% of the population. A test used to detect the virus in a person is positive 87% of the time if the person has the virus (true positive) and 14% 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. Virus No Virus TotalPositive Test Negative Test Total 100,000a) 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. %
- A breeder of golden retriever dogs has kept records on litter size for several years. They want to know if litter size is dependent on parent age. Age of Sire 9.0 7.0 6.5 4.3 5.0 4.1 3.7 8.0 7.0 4.1 4.5 7.0 6.0 Age of Dam 2.0 2.5 4.0 3.3 6.0 5.0 4.5 4.1 8.2 2.4 2.9 3.7 4.0 Litter Size 11 10 9 12 5 9 9 8 7 10 12 10 9 b. Perform a regression analysis. Define your hypothesis, state your conclusions, and show all work.Solve the problem.Assume that male Siberian huskies' weights are normally distributed with a mean of 63.6 pounds and a standard deviation of 2.5 pounds. If 90 male Siberian huskies are randomly selected, find the probability that they have a mean weight between 62.9 pounds and 64.0 pounds.There are 435 seats in a nation's House of Representatives. The number of representatives per state is calculated using a statistical formula determined by law, but allocation is roughly proportionate to population. In 2010, the nation's population was estimated to be 309.1 million. The state's population was estimated at 26.1 million. How many representatives would you expect to be assigned to the state? Suppose the state actually has 34 representatives. Compare this with the expected number of representatives from the state.
- A survey found that 40% of adults in the United States have a pet in their home. Use this information to find the following: a. Find the probability that when we randomly select 13 adults exactly 7 of them have a pet in their home. Round your answer to two decimal places. b. Find the mean and standard deviation for the number of adults that have a pet in their home when we randomly select 13 adults. Round your answer to two decimal places.The National Collegiate Athletic Association (NCAA) requires colleges to report the graduation rates of athletes. Here are data from a Big Ten university’s report. The graduation rates were 37 of 45 female athletes and 58 of 102 male athletes. Is there evidence that a smaller proportion of male athletes than female athletes graduate within six years?your car is more crowded than you think. table 5.8 reports results from a 1969 personal transportation survey on "home-to-work" trips in metropolitan areas. The survey stated that the average car occupancy was 1.4 people. check that calculation.