Heart failure is due to either natural occurrences (86%) or outside factors (14%). Outside factors are related to induced substances or foreign objects. Natural occurrences are caused by arterial blockage, disease, and infection. Suppose that 19 patients will visit an emergency room with heart failure. Assume that causes of heart failure between individuals are independent. (a) What is the probability that 3 individuals have conditions caused by outside factors? Round your answers to three decimal places (e.g. 0.987). Probability = i (b) What is the probability that 3 or more individuals have conditions caused by outside factors? Round your answers to three decimal places (e.g. 0.987). Probability i (c) What is the mean and standard deviation of the number of individuals with conditions caused by outside factors? Round your answers to three decimal places (e.g. 98.765). Mean = i Standard deviation = i !

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?

A survey showed that 83% of adults need correction (eyeglasses, contacts, surgery, etc.) for their eyesight. If 18 adults are randomly selected, find the probability that at least 17 of them need correction for their eyesight. Is 17 a significantly high number of adults requiring eyesight correction? ... The probability that at least 17 of the 18 adults require eyesight correction is (Round to three decimal places as needed.)

The ebola virus has an incidence rate of 15%. If the false negative is 25% and the following false positive is 30%, then find what is the conditionsl probability of an individual not having ebola, given they received a negative test result? a. 0.97 b. 0.91 c. 0.94 d. 0.88

If the probability that the Islanders will beat the Rangers in a game is 5/6, what is the probability that the Islanders will win at least five out of six games in a series against the Rangers? Round your answer to the nearest thousandth.

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.)

A survey showed that 79​% of adults need correction​ (eyeglasses, contacts,​ surgery, etc.) for their eyesight. If 15 adults are randomly​ selected, find the probability that at least 14 of them need correction for their eyesight. Is 14 a significantly high number of adults requiring eyesight​ correction? The probability that at least 14 of the 15 adults require eyesight correction is nothing. ​(Round to three decimal places as​ needed.)

The table below shows the number of deaths in the U.S. in a year due to a variety of causes. For these questions,assume these values are not changing from year to year, and that the population of the United States is 312 millionpeople. Cause of Death in US Cause Number of deaths Passenger car occupant 13,100 Motorcycle driver 4,500 Tornado 553 Skydiving 56 What is the probability that you died as a passenger car occupant last year?