Suppose that we have a sample space with five equally likely experimental outcomes: E1, E2, Ea, E4, and Eg. Let A = {E1, E1} B = {E3, E4} C = {Ea, E3, Es} a. Find P(A), P(B), and P(C) (to 2 decimals). P(A) = 0.29 P(B) 0.29
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- . In a study to investigate the effect of regular physical exercise on the reduction of high blood pressure in males aged 60-65, the researchers selected at random a sample of n₁ =12 males suffering from high blood pressure in the given a 12ge group and for a two-year period placed the subjects on a daily physical exercise program. A second sample of n₂ =12 males suffering from high blood pressure in the given age group was selected and again for the two-year period this group of subjects were placed on a physical exercise program for which they were required to perform only once a week. Finally a third sample of n3 =12 males suffering from high blood pressure in the given age group was selected. No exercise program was required for individuals in sample three. At the end of the two-year period the reduction in blood pressure was measured for each of the subjects in the study and is presented in the table on the next page. Table V.1: Reduction in Blood pressure for three groups of…For a population with a mean of m= 80, any score greater than 80 will have a positive z-score. Question 24 options: True False2.24 Exit poll: Edison Research gathered exit poll results from several sources for the Wisconsin recall election of Scott Walker. They found that 52% of the respondents voted in favor of Scott Walker. Additionally, they estimated that of those who did vote in favor for Scott Walker, 36% had a college degree, while 42% of those who voted against Scott Walker had a college degree. Suppose we randomly sampled a person who participated in the exit poll and found that he had a college degree. What is the probability that he voted in favor of Scott Walker?(please round to 4 decimal places)
- A CBS News poll involved a nationwide random sample of 651 adults, asked those adults about their party affiliation (Democrat, Republican or none) and their opinion of how the US economy was changing ("getting better," "getting worse" or "about the same"). The results are shown in the table below. better same worse Republican 38 104 44 Democrat 12 87 137 none 21 90 118 If we randomly select one of the adults who participated in this study, compute: (round to four decimal places) a. P(affiliated with neither party) = b. Р(same) % c. P(same | affiliated with neither party) = d. P(affiliated with neither party | same) = е. P(affiliated with neither party and same) =2.24 Exit poll: Edison Research gathered exit poll results from several sources for the Wisconsin recall election of Scott Walker. They found that 53% of the respondents voted in favor of Scott Walker. Additionally, they estimated that of those who did vote in favor for Scott Walker, 33% had a college degree, while 44% of those who voted against Scott Walker had a college degree. Suppose we randomly sampled a person who participated in the exit poll and found that he had a college degree. What is the probability that he voted in favor of Scott Walker?In a large clinical trial, 399,884 children were randomly assigned to two groups. The treatment group consisted of 201,068 children given a vaccine for a certain disease, and 26 of those children developed the disease. The other 198,816 children were given a placebo, and 91 of those children developed the disease. Consider the vaccine treatment group to be the first sample. Complete parts (a) through (d) below. a. Assume that a 0.10 significance level will be used to test the claim that p₁A CBS News poll involved a nationwide random sample of 651 adults, asked those adults about their party affiliation (Democrat, Republican or none) and their opinion of how the US economy was changing ("getting better," "getting worse" or "about the same"). The results are shown in the table below. better same worse Republican 38 104 44 Democrat 12 87 137 none 21 90 118 If we randomly select one of the adults who participated in this study, compute: (round to four decimal places)a.P(Republican) = (-------)b.P(better) = (--------)c.P(better|Republican) = (--------)he federal government is interested in determining whether salary discrimination exists between men and women in the private sector. Suppose a sample of 16 women and 25 men are taken from the population of first-level managers in the private sector. The information is summarized as follows (amounts are in thousands of dollars): Women Men n 16 25 X¯ $26.4 $33.3 S $2.6 $3.2 Test H0 : µ1 = µ2 against H1 : µ1 = µ2 where µ1 and µ2 are the mean salary of first level female and male managers, respectively. Use α = 0.05 and assume equal variances. Test statistic = −2.68 and reject H0 Test statistic = −7.22 and reject H0 Test statistic = −2.68 and fail to reject H0 Test statistic = −7.22 and fail to reject H0Suppose that we have a sample space with five equally likely experimental outcomes: E1, E2, E3, E4, E5. Let A = {E1, E4} B = {E2, E3} C = {E2, E4, E5}. (a) Find P(A), P(B), and P(C). P(A) = P(B) = P(C) = (b) Find P(A ∪ B). P(A ∪ B) = Are A and B mutually exclusive? They mutually exclusive. (c) Find AC. (Enter your answer in set notation.) AC = Find CC. (Enter your answer in set notation.) CC = Find P(AC) and P(CC). P(AC) = P(CC) = (d) Find A ∪ BC. (Enter your answer in set notation.) A ∪ BC = Find P(A ∪ BC). P(A ∪ BC) = (e) Find P(B ∪ C). P(B ∪ C) =