4. Suppose Xo, X1, X2,... are iid Binomial (2, 5). If we view this sequence as a Markov chain with S = {0, 1, 2}, what is its PTM?
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- Ouestion stion 3 Assume an ol dniling project had an estimated benefit of $120,000 an estimated cost of $80,000 but there is a 40% chance of having an oil spill that would cost $60,000. is this project worth doing? Explain why and identify the net expacted value (total expected benefits total expected costs) for this projectYou are conducting a study to see if the probability of catching the flu this year is significantly different from 0.3. You use a significance level of a = 0.02. Ho:p = 0.3 H1:p + 0.3 You obtain a sample of size n = 589 in which there are 161 successes. What is the test statistic for this sample? (Report answer accurate to three decimal places.) test statistic = What is the p-value for this sample? (Report answer accurate to four decimal places.) p-value = The p-value is... O less than (or equal to) a O greater than a This test statistic leads to a decision to... O reject the null O accept the null fail to reject the null As such, the final conclusion is that... O The sample data support the claim that the probability of catching the flu this year is different from 0.3. O There is not sufficient sample evidence to support the claim that the probability of catching the flu this year is different from 0.3.12 Question (hai 1) If A and B are two dependent events, P(A)= 0.75 , P(A and B) = 0.258 then P(B/ A)= 0.344 0.443 0.434 0.343
- 6Question * 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.)
- Risk and Returns. Windsor stock has produced returns of 22.6 percent, 18.7 percent, 15.7 percent, 11.3 percent, 9.8 percent, 7.2 percent, 5.8 percent, 3.1 percent, 1.7 percent, 0.3%, -2.7% and -5.4 percent over the past twelve years, respectively. What range of returns would you expect to see on this stock 95 percent of the time? Please show workUnderstanding 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?umulative 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?
- 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 OModeling and Simulation (Geometric Distribution) Q1) At Colombia University, each student has a probability of 0.8 to pass the simulation exam. Denote by X the random variable that represents the number of times a student must take the simulation exam in order to pass it (assume independent outcomes for each trial, and that probability of success remains the same). a) What is the average number of times a student has to take the exam?Finding Binomial Probabilities A pharmaceutical company receives large shipments of ibuprofen tablets and uses sampling plan to accept the shipmemts. They randomly select and test 25 tablets, and accept the entire batch if there is at most one tablet that does not meet the required specifications.Suppose a particular shipment of ibuprofen tablets has a 10% rate of defects. What is the probability that this whole shipment will be accepted?Round your answer to 3 decimal places.
