survey of those using a particular statistical software system indicated that 10% were dissatisfied. Half of those dissatisfied purchased the system from vendor A. It is also known that 20% of those surveyed purchased from vendor A. Given that the software was purchased from vendor A, what is the probability that that particular user is dissatisfied?

In 2014, 78.9% of US households spoke only English at home. What is the probability that atleast 12 of 15 randomly sampled US households speak only English at home

A college instructor teaching a HyFlex class needs to schedule a classroom for an exam. Historically, only a part of her class shows up in person for the exam, whereas the rest of the class either takes the exam remotely or fails to take it altogether. Given the class statistics included in data file Q4, answer the following questions. students atteing iin person =0.7 n = 87 .What is the probability that no more than 54 students will show up for the exam? (Round your answer to three decimal places.)     4b. If the instructor is assigned a class with 60 seats, what is the probability that she will run out of seats for the exam? (Round your answer to three decimal places.)     4c. What are the mean and standard error of the count of students showing up for the exam? (Round your answers to one decimal place.)

A pharmaceutical company is running trials on a new test for anabolic steroids. The company uses the test on 400 athletes known to be using steroids and 200 athletes known not to be using steroids. Of those using steroids, the new test is positive for 375 and negative for 25. Of those not using steroids, the test is positive for 25 and negative for 175. What is the relative frequency of a false negative result (the probability that an athlete using steroids will test negative)? (Round your answer to two decimal places.) What is the relative frequency of a false positive result (the probability that an athlete not using steroids will test positive)? (Round your answer to two decimal places.)

Suppose that 30 percent of an adult population have an infectious disease and 40 percent have achronic disease. Assume that having an infectious disease is independent from having a chronicdisease. For each of the questions below perform the calculation using appropriate statisticalnotation.a. What is the probability that a person selected at random will have both diseases?b. What is the probability of having the infectious disease for people with the chronic disease?c. What is the probability of having the infectious disease for people without the chronic disease?d. What is the probability of not having the infectious disease for people with the chronicdisease?

a. What is the probability of seeing positive change? b. What is the probability of seeing positive change given that the tree is oak? c. Do the data suggest effect and tree type are independent events? yes or no