Let's put this rules in practice: a. In a survey of hospital nursing from a Washington state hospital it was found that 92% of the nurses were female, that 74% had received their nursing degree in Washington state, and 70% were both female and had received their nursing degree in Washington state. (Smith, 2007). If a nurse is chosen at random from those sampled, find the probability of the following events. • Getting a nurse w did not receive their nursing degree in Washington state • Getting a nurse who is a female and received their nursing degree in Washington state. Getting a nurse who is a female or received their nursing degree in Washington state.

The patients were grouped in 4 categories: one for each drug, and a control group. The patients in the control group were not given any drug to treat the disease. The following table shows the results of the study:   Suppose we randomly select a patient from this study, 1. If you know that the patient we selected was cured in less than three months, what is the probability that she was treated with drug 1? 2. What is the probability that the patient was treated with any of the drugs and was cured between 6 and 12 months from the start of the treatment?

3. A recent article in the Journal of Urban Chicken Farmers reported the fraction of chickens that experience severe, moderate, or minor side effects from a new diet are 0.07, 0.15, and 0.78, respectively. Assuming that chickens respond independently, if 18 chickens were tested on the new diet, what is the Probability that 2, 4, and 12 chickens will suffer severe, moderate, or minor side effects, respectively? Probability that no chickens will suffer severe side effects? Mean number of chickens that will suffer severe side effects? Variance in the number of chickens that will suffer severe side effects? Conditional mean of the number of chickens that suffer severe side effects given that 17 suffer minor side effects. a. b. C. d. e.

80% of U.S. drivers over the age of 30 have had a speeding ticket and 55% of those have also been in an accident while behind the wheel. What is the probability that a randomly selected US driver over the age of 30 has had a speeding ticket and also been in an accident while behind the wheel?

According to a recent article on the website www.fivethirtyeight.com, 30% of Americanssay they’re trying to reduce or eliminate gluten in their diets. Suppose you have 50volunteers and are interested in the number of them that are trying to reduce oreliminate gluten in their diets.a.) Find the probability that exactly 20 of the volunteers are trying to reduce oreliminate gluten in their diets. Use the formula.b.) Find the probability that 15 or fewer of the volunteers are trying to reduce oreliminate gluten in their diets. Use the calculator.c.) Find the probability that at least 27 of the volunteers are trying to reduce oreliminate gluten in their diets. Use the calculator.

Staff, Inc., a management consulting company, is surveying the personnel of Acme Ltd. It determined that 35% of the analysts have an MBA and that 40% of all analysts are over age 35. Further, of those who have an MBA, 30% are over age 35.a. What is the probability that a randomly chosen analyst both has an MBA and also is over age 35?b. What is the probability that a randomly chosen analyst who is over age 35 has an MBA?c. What is the probability that a randomly chosen analyst has an MBA or is over age 35? d. What is the probability that a randomly chosen analyst who is over age 35 does not have an MBA? e. Are the events MBA and over age 35 independent? f. Are the events MBA and over age 35 mutually exclusive? g. Are the events MBA and over age 35 collectively exhaustive?

5. A manufacturer of cell phones purchases batteries from a vendor. It is not uncommon to receive defective batteries from this vendor, thus whenever a shipment is received, a sample of batteries is inspected. For this month's shipment, a random sample of 280 batteries is selected and each battery is inspected. If the proportion of defective batteries sampled is more than 1.5%, the entire shipment will be returned to the vendor. What is the probability that this month's shipment will be returned if the true proportion of defective batteries is 4%?

A quality control engineer inspects a random sample of three batteries from a lot of 30 car batteries, which are ready to be shipped. If such a lot contains ten batteries with slight defects, what then is the probability that the inspector’s sample contains  i. No batteries with slight defects?       ii.At least one of the batteries with slight defects? Engineering Subject= Applied Statistic

In a survey of 98 baseball fans in NYC, 51 were fans of the Mets, 68 were fans of the Yankees and 34 were fans of both teams.If you picked one of these 98 baseball fans at random, what is the probability that they will be a fan of neither team? 0.8673 0.3469 0.5204 0.6939 0.1327

6. A survey by Altgeld Travel Magazine found that 85% of airline passengers prefer to sleep during their flights. Ifwe randomly select 9 passengers, what is the probability that…. (a) Exactly 8 passengers prefer to sleep during their flights? (b) 8 or more passengers prefer to sleep during their flights?