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- Question * Let A and B be two independent event such that P(A) = 0.3 and P(B) = 0.8. Then P(AUB) = %3D O 0.94 0.76 0.994 None of these Question* Let A and B be events with P(4)= P(B)=and P(4 B)=What isAge range (yr) 20-29 30-39 40-49 50-59 60-69 70-79 80+ Midpoint x 24.5 34.5 44.5 54.5 64.5 74.5 84.5 Percent of nurses 5.8% 9.1% 19.7% 29.2% 25.2% 9.4% 1.6% c) Find the probability that a British nurse selected at random in 1851 would be 60 years of age or older. (Round your answer to three decimal places.)(d) Compute the expected age μ of a British nurse contemporary to Florence Nightingale. (Round your answer to two decimal places.) yr(e) Compute the standard deviation σ for ages of nurses shown in the distribution. (Round your answer to two decimal places.)Understanding Single Station Flood Frequency Analysis in Estimating Flood Events For the flow dataset (42-years of annual flow values) described earlier: (a) fit the normal distribution to thisdata set on a normal probability paper and show computations in a tabular form, (b) fit the log-normaldistribution to this data set on a log-normal probability paper and show computations in a tabular form, (c) forboth of the fitted distributions, compute the 90% confidence limits for the fitted probability curves and alsoshow computations in a tabular form.In each case as listed above predict the 100-year, 150-year, and 200-year floods and compare results and howcomparable are these results?
- Assignment No. 9 Answe 1 and 2umulative Number of living Frequency children Proportion Proportion or Probability or Cumulative Probability 156 0.089 0.089 1 228 0.129 0.218 2 310 0.176 0.394 3 316 0.179 0.574 4 262 0.149 0.722 5 197 0.112 0.834 159 0.09 0.924 7 69 0.039 0.964 8 45 0.026 0.989 9 15 0.009 0.998 10 4 0.002 1 Total 1761 1 7. If we consider this a representative sample of the country women aged 15- 49 years, and we obtain another representative sample of 500 women. How many of these women would have 2 or 3 children?Education Level Of its age-appropriate residents, approximately 18.4% of the population in Blair county, Pennsylvania earned a bachelor’s degree or higher. What’s the probability of a randomly selected county being equal to or greater than 18.4%? Fluoride Levels A county in Kentucky has 6.7% of sampled homes above suggested fluoride levels. What’s the probability of a randomly selected county being equal or greater than 6.7%? Nitrate Levels A county in Hawaii has sampled home drinking water and found that 2.2% of their homes have nitrate levels above normal. What’s the probability of a randomly selected county being greater than or equal to 2.2%? Median Income Median income in Kent county, Delaware is $55,169. What’s the probability of a randomly selected county having greater than $55,169 median income? Percent Uninsured Dewey county, Oklahoma, has a 26% uninsured rate. What’s the probability of a randomly selected county having greater than 26% uninsurance rate? Median Age The…
- 3 نقاط Let E and F be two events of an experiment where P(E) = 0.35,P(F) = %3D 0.15 and P(E N F) = 0.03. Then P(E^c U = F^c) 0.97 O 0.47 O 1 0 Other OComputing the probability of the event "drawing a second red ball from a bag of colored balls after having kept the red ball that was drawn first from the bag" is an example ofHoping to diversify suppliers, a manufacturer buys the same component from three sources, with 24% of the components from vendor A, 39% from vendor B, and 37% from vendor C. Based on past experience, the manufacturer expects that vendors A, B, and C will produce defective components at a rate of 1.5%, 1.2%, and 1.8%, respectively. What is the expected proportion of defective components in the manufacturer’s stock?
- Poisson Distribution: (Please answer as soon as possible) A new automated production process averages 3.3 breakdowns per day. Because of the cost associated with a breakdown, management is concerned about the possibility of having 4 or more breakdowns during a day. Assume that breakdowns occur randomly, that the probability of a breakdown is the same for any two time intervals of equal length, and that breakdowns in one period are independent of breakdowns in other periods. What is the probability of having 4 or more breakdowns during a day? (to 4 decimals)Hypothesis Testing with Proportion question Research at PCC indicates that 40% of students change their major area of study after their first year in a program. A random sample of 120 students in the Business Department revealed that 68 had changed their major area of study after their first year in a program. Has there been a significant decrease in the proportion of students who change their major after the first year in this program? Test at the 05 level of significance.CONDITIONAL AND MARGINAL PROBABILITY - Statistics and probability 1) A USA Today article titled: Yum Brands Makes Dynasty in China, (February 7, 2005) reports on how Yum Brands, the world's largest restaurant company, is taking the fast food industry to China, India and other big countries. Yum Brands, a subsidiary of PepsiCo, has been delivering double-digit earnings growth in the past year. Suppose that when the CEO of Yum Brands was interviewed for this article, he was asked the following questions. (IMG) TABLE How could you have answered based on the following table? A) What percentage of its stores are Taco Bell given that the location is in the United States? B) What percentage of its stores are in other countries given that the store is an A&W All-American? C) What percentage of its stores is KFC given that the location is in other countries?