In a certain manufacturing company, a production line has 0.25 probability of having a defective product. If the company has 5 sets of production line, a. What is the probability that exactly 2 of the production line have a defective product? b. What is the expected value of having a defective product? c. What is the probability of at least 2 production line with defective product?
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- A certain state has the highest high school graduation rate of all states at 85%. a. In a random sample of 20 high school students from the state, what is the probability that 16 will graduate? b. In a random sample of 20 high school students from the state, what is the probability than 15 or fewer will graduate? c. What is the probability that at least 16 high school students in our sample of 20 will graduate? Please be very specific every question I have asked has been incorrect so far.2)2. The probability that a person has a negative side effect from a medication is .08.Suppose you treat 12 people. Assume they are independent.a. What is the probability that exactly 2 of them have a negative side effect?
- Suppose a certain breed of piglets have a sex-ratio of 0.54 (that is the probability of male piglets). If 5 piglets were born, what is the probability that 3 of them are male?A machine produces items one by one and independently. It is considered that 10% of them are defective. If the machine stops when it produces the fourth defective item:a. What is the expected number of items produced until the machine stops?b. What is the probability that the machine will stop at the tenth article produced?c. What is the probability that it produces at least 10 items for the machine to stop?The probability that a randomly selected adult has ever experienced a migraine headache is 0.4.11 adults are randomly selected. a. What is the probability that exactly 2 adults have experienced a migraine headache? Round to four decimal places if necessary b. What is the probability that none of them have experienced a migraine headache? Round to four decimal places if necessary c. What is the probability that at most one has experienced a migraine headache? b. What is the probability that none of them have experienced a migraine headache? Round to four decimal places if necessary c. What is the probability that at most one has experienced a migraine headache? Round to four decimal places if necessary d. How many adults would you expect to have experienced a migraine headache? Round to the nearest whole number
- 6. Clinical trials have shown that 90% of the patients with severe migraine experience relief of their pain after taking the drug Nimodipine. Suppose 15 migraine patients try Nimodipine. a. What is the probability all of the patients experience relief? b. What is the probability only 10 patients experience relief? What is the probability at least 12 patients experience relief? d. What is the probability at most 10 patients experience relief? e. How many are expected to experience relief?At a particular college, 40% of students receive an academic scholarship, 85% of students live on campus, and 30% of students live on campus and receive an academic scholarship. 1. What is the probability a student receives a scholarship at this college, given they live on campus? 2. What is the probability a student lives on campus, given they receive a scholarship?American Airlines' flights from Chicago to Dallas are on time 70 % of the time. Suppose 13 flights are randomly selected, and the number on-time flights is recorded. 1.The probability that at least 2 flights are on time is = 2.The probability that at most 4 flights are on time is = 3.The probability that exactly 6 flights are on time is =
- 10. According to a Los Angeles Medical Malpractice Law Firm, there are on average 12,414 cases of medical malpractice reported to the NPDB annually. Of these, approximately 5,342 are due to negligence. a. Calculate the probability that an individual randomly selected medical malpractice report is due to negligence. b. Calculate the probability that an individual randomly selected medical malpractice report is not due to negligence. C. It 4 different malpractice suits were randomly selected, what is the probability that all four were not due to negligence.3. Assume that 12% of people are left-handed. You are trying to find 3 left-handed individuals to interview for an article. Assuming that everyone you approach is willing to be interviewed ... a) what is the probability that you need to approach exactly 6 people to find 3 left-handed individuals? b) what is the probability that you need to approach 6 or more people to find 3 left-handed individuals? c) what is the expected value of the number of individuals that you will need to approach to find 3 left- handed individuals?Delta Airlines' flights from Boston to Dallas are on time 60 % of the time. Suppose 13 flights are randomly selected, and the number on-time flights is recorded.1.The probability that at least 9 flights are on time is =2.The probability that at most 8 flights are on time is =3.The probability that exactly 12 flights are on time is =