2-25. Let A and B be the two possible outcomes of an experiment and suppose P(B)=p and P(A) = 0-4, (i) For what choice of p are A and B mutually exclusive? (ii) For what choice of p are A and B independent ? P (AU B) = 0-7
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- I need IV V VIA random group of customers at a fast food chain were asked whether they preferred hamburgers, chicken sandwiches, or fish sandwiches. The restaurant's marketing department claims that 45% of customers prefer hamburgers, 45% of the customers prefer chicken sandwiches, and 10% of the customers prefer fish sandwiches. Is there evidence to reject this hypothesis at = 0.05? Plans Hamburgers Chicken Fish Number of students 34 18 8 Group of answer choices A. There is evidence to reject the claim that the customers' preferences are distributed as claimed because the test value 17.2> 5.481 B. There is not evidence to conclude the claim that the customers' preferences are distributed as claimed because the test value 5.481 < 7.815 C. There is not evidence to reject the claim that the customers' preferences are distributed as claimed because the test value 5.481 < 5.991 D. There is evidence to conclude the claim that the customers' preferences are…Suppose there are three balls in a box. On one of the balls is the number 1, on another is the number 2, and on the third is the number 3. You select two balls at random and without replacement from the box and note the two numbers observed. The sample space S consists of the three equally likely outcomes {(1, 2), (1, 3), (2, 3)} (disregarding order). Let X be the sum of the two balls selected. Which of the following is the correct distribution for X?
- Let A and B be the two possible outcomes of an experiment and suppose P(A) = 0.4, P(AUB) = 0.7 And P(B) = P. (i) For what choice of p are A and B mutually exclusive? (ii) For what choice of p are A and B independent?I need help with all parts of this question 21, For B the first option is is or is notthe second option is sufficent or insufficient and the third options is equal sign, plus minus or greater or less thanDuring one month, a blood donation center found that 45.5% of the donors had the A antigen. 14.5% of the donors had the B antigen. 4.6% of the donors had the A antigen and the B antigen. 84.6% of the donors were Rh+. 87.8% of the donors had the B antigen or were Rh+. (a) Find the percent of donors that have the A antigen or the B antigen. 55.4 % (b) Find the percent of donors that have the B antigen and are Rh+. ?
- Question 10: give the conclusion.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)Step 1: Write down your null and alternative hypotheses. Use p1 to represent the proportion of the population who preferred Brand 1 over the other two brands, and p2 to represent the population proportion for Brand 2 and p3 for Brand 3. H0: Ha: Group of answer choices Null: There is a preference for one or more brands, that is p’s are not all equal. Alternative: There is no brand preference, that is p1 = p2 = p3 = 1/3; Null: There is no brand preference, that is p’s are not all equal. Alternative: There is a preference for one or more brands, that is p1 = p2 = p3 = 1/3; Null: There is no brand preference, that is p1 = p2 = p3 = 1/3; Alternative: there is a preference for one or more brands, that is p’s are not all equal. Null: There is a preference for one or more brands, that is p1 = p2 = p3 = 1/3; Alternative: There is no brand preference, that is p’s are not all equal.
- B. 3R+6B SR+4B PCR) = ? %3D P (B)= ? P( BilR)=? PC Bi |B)=? P ( Bzl R)=} P (Bz| B)= ? 2. If there are two Bqqs B, and Bz. In Bag bage one there are 3 red balls and 6 Blue bells. In Bag two there are 5 red balls andA blue balle. If One ball is Chosen at random. find the following trobubilities !7. A new drug study was conducted by a drug company. In the study, 10 people were chosen at random to take Vitamin X for 3 months and then have their cholesterol levels checked. In addition, 10 different people were randomly chosen to take Vitamin Y for 3 months and then have their cholesterol levels checked. All 20 people had cholesterol levels between 8 and 10 before taking one of the vitamins. The drug company wanted to see which of the 2 vitamins had the greatest impact on lowering people's cholesterol. The following data was collected: Vitamin X 7.27.5 5.2 6.5 7.7 10 6.47.6 7.77.8 Vitamin Y 4.8 4.44.5 5.1 6.5 8.03.1 4.6 5.2 6.1 (a) Draw a box-and-whisker plot for both sets of data on the same number line. (b) Use the double box-and-whisker plots to compare the 2 vitamins and provide a conclusion for the drug company. (e) State the skewness of both distributions and justify your answer.Q7. A survey was conducted in which 100 males and, independently, 100 females were asked about their respective methods of transportation to work. Participants were asked whether they typically drive to work, use public transportation, or walk / bicycle. The results are given in the table below. Can the investigators conclude that males differ from females in their work commute tendencies? Show your work. Drive Public Transportation Walk or Bicycle 22 Females 71 7 Males 76 18 6 (a) Based on the assumption that female and male tendencies are alike, construct a table of expected frequencies. (b) Use a X² test to evaluate the assumption used in part a. Make sure you indicate which test you are using! (c) Interpret the result of part b in terms of the situation of the problem, without using any statistical language.