(6) If "P = 220 "C2 , the n is equal to %3D (a) 13 (b) 10 (c) 12 (d) 8 (e) None of these a is the correct answer b is the correct answer c is the correct answer d is the correct answer
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- For this problem, involving a weighted die. assume that all the odd numbers are equally likely to come up, all the even numbers are equally likely to come up, and the odd numbers are three times as likely to come up as the even numbers. What is the value of w3? What is the value of w4? What is the value of w6?A poll shows that half the consumers who use brand A switched to Brand b the following year, while the other half stayed with brand A. 9/10 of brand b users stayed with brand B the following year, while the rest switched to brand A. In the long term, what fraction of the time will a user spend using each of the two brands? Enter your answers as fractions l. Brand A: Brand B:You are helping to plan a clinical trial of a vaccine, and want to be able to detect rare serious side effects. Suppose a particular serious symptom occurs in 1 of every 40000 people in the general population, and you want to be able to detect if the vaccine increases its frequency by a factor of 4 (i.e. so that it occurs in vaccinated people with a frequency of 4 in 40000). How big does your clinical trial need to be, to detect such an increase, with 95% confidence? (Again, show how you get the answer)
- d. What is the value of Z if only 8.08% of all possible Z-values are larger?Find the value of $c$ if $\sum_{n=2}^{\infty}(1+c)^{-n}=2$The problem is "Twelve percent of the job applicants for a large company have recently smoked marijuana. The company gives all applicants a drug test. The test is not perfect. The test has a sensitivity of 98%- meaning that 98% of those who have recently smoked marijuana will test positive, the other 2% will test negative. The test has a specificity of 96%- meaning that if someone has not recently smoked marijuana, the test will correctly yield a negative test result 96% of the time." M = applicant has recently smoke marijuanaC= applicant has not recently smoked marijuana (clean)X = positive test (test indicates that the person has not recently smoked marijuana recently)N= negative test (test indicates that the person has not recently smoke marijuana) a. What proportion of those who test positive have not recently smoked marijuana? b. What proportion of those who pass the drug test really shouldn’t have?
- The problem is "Twelve percent of the job applicants for a large company have recently smoked marijuana. The company gives all applicants a drug test. The test is not perfect. The test has a sensitivity of 98%- meaning that 98% of those who have recently smoked marijuana will test positive, the other 2% will test negative. The test has a specificity of 96%- meaning that if someone has not recently smoked marijuana, the test will correctly yield a negative test result 96% of the time." M = applicant has recently smoke marijuana C= applicant has not recently smoked marijuana (clean) X = positive test (test indicates that the person has not recently smoked marijuana recently) N= negative test (test indicates that the person has not recently smoke marijuana) a. draw a tree diagram for this case b. What proportion of the applicants get an incorrect test result? c. What proportion of the applicants test positive?Individual A has a red die and B has a green die (both fair). If they each roll until they obtain five "doubles" (1-1,...,6-6), what is the pmf of X (= the total number of times a die is rolled)? What are E(X) and V(X)?For this problem, involving a weighted die. assume that all the odd numbers are equally likely, all the even numbers are equally likely, the odd numbers are k times as likely as the even numbers, and Pr[6]=1/21 What is the value of k?
- 3.1 Suppose X ~ N(18, 7). What value of x has a z-score of -2.16? Round to 2 decimal places..What happened to the absolute value of e^-|2t|?Suppose that a manufacturer is testing one of its machines to make sure that the machine is producing more than 97% good parts (H0: p = 0.97 and Ha : p > 0.97).The test results in a P-value of 0.012. In reality, the machine is producing 97% good parts.What probably happens as a result of our testing? A. We correctly reject H0. B. We fail to reject H0, making a Type II error. C. We reject H0, making a Type I error. D. We fail to reject H0, making a Type I error. E. We correctly fail to reject H0.