Consider two events A and B. Suppose P (A ∪ B) = 0.7 and P (A ∪ B′) = 0.9. Find P (A) (a Venn diagram may help).
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Consider two
P (A) (a Venn diagram may help).
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- 6. Given that P(A) = 0.40, P(B) = 0.35, and P(AB) = 0.10, find; P(A) P(AUB) P(An B9) a. b. C.The table and graph are background informationDace is a political analyst for a presidential candidate (Aspirant A) with two strong competitors (Aspirants B and C). She analyzed that B and C have exactly the same chance of winning a seat while A has twice the chance of either B and C. With the given information, what is the chance of A in winning.
- A researcher wants to determine whether adolescents spend more time in a day around friends than adults do. He gathers a sample of n =10 adolescents (aged 12-17) and a sample of n =6 adults (aged 25-32). The researcher finds that the average time spent around friends for adolescents is M1= 3 hours with a SS1 of 44. He also finds that the average time spent around friends for adults is M2= 2 hours with a SS2 of 40. a. Do you use a one- or two-tailed test? What is the critical/cut-off t value with an alpha level of α = .01? b. What is the variance? c. What is the estimated standard error? d. What is the value of the t statistic? e. Do we reject or fail to reject the null hypothesis (α = .01)? Why? f. Calculate and report the variance explained ( r2)5. Given P(A and B) = 0.08, P(B) = 0.85, P(B|A) = 0.54, what is P(A)Suppose P(A) = 0.7 and P(B) = 0.5. If P(A and B) = 0.3, with the help of a Venn diagram, we can estimate that P(A or B) will be a) more than 0.7 b) less than 0.5 c) more than 1.2 d) less than 0.3
- Consider the following scenario: • Let P(C) = 0.3• Let P(D) = 0.8• Let P(C|D) = 0.3 A. P(C AND D) = [ Select ] ["0.30", "0.24", "0.26", "0.11"] B. Are C and D Mutually Exclusive? [ Select ] ["No, they are not Mutually Exclusive.", "Yes, they are Mutually Exclusive."] C. Are C and D independent events?[ Select ]["No, they are Dependent.", "Yes, they are Independent."] D. P(C OR D) = [ Select ] ["0.92", "0.86", "0.60", "1.1"] E. P(D|C) = [ Select ]["0.30", "0.95", "0.24", "0.80"]Make sure to add hypothesis as well as graphStudies have found that people find symmetrical faces more attractive than faces that are not symmetrical. To test this theory, a psychiatrist selected a random sample of people and showed them pictures of three different faces: a face that is perfectly symmetrical, a face that is slightly asymmetrical, and a face that is highly asymmetrical. She then asked them to rate the three faces in terms of their attractiveness on a scale from 1 to 7, with 7 being the most attractive. Test the null hypothesis that attractiveness does not differ with facial symmetry.
- Please help with this statistics problem. A traffic light at a certain intersection is green 45% of the time, yellow 10% of the time, and red 45% of the time. A car approaches this intersection once each day. Let X represent the number of days that pass up to and including the first time the car encounters a red light. Assume that each day represents an independent trial. A.) Find P(X=3). B.) Find P(X<=3) C.) Find ux. D.) Find 02/x.3. A researcher decides to investigate the relationship between an exposure (X) and an outcome (Y). In order to do so, the researcher decides to collect information on a relevant variable Z that may play a role in the relationship between X and Y. Which of the following hypothetical scenarios describes interaction by the variable Z? A) Z is associated with an increase in both X and Y B) Z is associated with only the exposure C) Z is associated with only the outcome D) When Z is present, there is an increase in Y, and when Z is absent, there is a decrease in Ythe second photo is an example of resolution
