60% of workers in a given company are male (M). Management has proposed a new private health care plan for all workers. Of the males, 45% support (S) this health care plan; whereas 35% of females (F) do not support (NS) the health care plan. (a) Draw a complete and accurate tree diagram based on the above information and calculate the probabilities of all four possible outcomes. [4] (b) Calculate the probability that a randomly selected worker supports the health care plan. [3] (c) Suppose a randomly selected worker does not support the health care plan, what is the probability that the worker is female?

60% of workers in a given company are male (M). Management has proposed a new private health care plan for all workers. Of the males, 45% support (S) this health care plan; whereas 35% of females (F) do not support (NS) the health care plan. (a) Draw a complete and accurate tree diagram based on the above information and calculate the probabilities of all four possible outcomes. [4] (b) Calculate the probability that a randomly selected worker supports the health care plan. [3] (c) Suppose a randomly selected worker does not support the health care plan, what is the probability that the worker is female?

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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3. A construction company submits bids for two projects. Listed in Table 1 are the profit and probability of winning each project. Assume that the outcomes of the two bids are independent. Profit $75,000 Project A Project B $120,000 Chance of Winning Bid 0.50 0.65 Table 1: Projects, Bids, and Profits (a) List the possible outcomes (win/not win) for the two projects and find their probabilities. (b) Let X denote the company's total profit out of the two contracts. Determine the probability distribution of X. (c) If it costs the company $2000 for preparatory surveys and paperwork for the two bids, what is the expected net profit?
For Part B. Options are Excellent, Good, Fair for each blank.
blindness. Would these results be surprising? Explain why or why not. 4) At the end of basketball practice, each player on the team must shoot free throws until he makes 10 of them. Slim is a 70% free-throw shooter. That is, his probability of making any free throw is 0.70. Given this information, the dotplot below shows a simulation of 120 trials of shooting 12 free throws with a 0.70 chance of making any free throw. : 4 : 5 6 8 9 7 Number of Made Free Throws 10 11 red-green color 12 a) Explain what the two dots at 5 represents. b) Use the simulation to estimate the probability that Slim makes 10 or more free throws. 3 1297091 c) Based on the results from the simulation, how many free throws is Slim most likely to make in 12 attempts? d) Therefore, based on your answer to part (c), how many total attempted free throws do you predict Slim will have to take before he can finish practice and go home.
Scenario 3. A researcher creates a new program for college students to reduce feelings of loneliness and enhance students' engagement on campus. This new program helps students to find student groups and clubs that fit their interests. She randomly assigns students to either enroll in this new program (the experimental group) or to not enroll in the program (the control group). She compares students' feelings of engagement between the two groups, and expects that engagement will be higher among the students that are in the program. What is the most appropriate test statistic to use to test the hypothesis in scenario 3? A) z-test B) z-score C) Independent samples t-Test D) Correlation Coefficient E) One-way ANOVA F) Dependent samples t-Test G) Factor Analysis H) Structural Equation Model What is the null hypothesis for scenario 3? A) H0: engagement in the experimental group ≤ engagement in the control group B) H0 : engagement in the experimental group = engagement in the control…
Cable TV choices: A telecommunications company provided its cable TV subscribers with free access to a new sports channel for a period of 1 month. It then chose a sample of 404 television viewers and asked them whether they would be willing to pay an extra $10 per month to continue to access the channel. A total of 35 of the 404 replied that they would be willing to pay. The marketing director of the company claims that the percentage of all of its subscribers who would pay for the channel differs from 6%. Can you conclude that the director's claim is true? Use the a=0.10 level of significance and the P-value method with the table. Part: 0 / 4 Part 1 of 4 (a) State the appropriate null and alternate hypotheses. Ho : H₁ : This hypothesis test is a (Choose one) ▼ test. Part: 1 / 4 Part 2 of 4 P-value= Part: 2 / 4 Part 3 of 4 (b) Compute the P-value. Round the answer to at least four decimal places. (c) Determine whether to reject Ho. (Choose one) Part: 3 / 4 Part 4 of 4 X (d) State a…
b) Blue Star United, a major electronics distributor, has hired Southwest Forecasters, a market research firm, to predict the level of demand for its new product that combines cell phone and complete Internet capabilities at a price substantially below its major competitors. As part of its deliverables, Southwest provides a rating of Poor, Fair, or Good, on the basis of its research. Prior to engaging Southwest Blue Star, management concluded the following probabilities for the market-demand levels: P(Low)== P(s1) = 0.1 P(Moderate) = P(s2) = 0.5 P(High) = P(s3) = 0.4 Southwest completes its study and concludes that the market potential for this product is poor. What conclusion should Blue Star reach based on the market-study results? Proportion of Assessments Provided by a Market-Research Organization Prior to Various Levels of Market Demand (Conditional Probabilities) are given in, the following table: Market Demand That Actually Occurred After Assessment Was Provided Moderate Demand…
The accidents that occur in a manufacturing company were classified by severity (strong, moderate and mild) and by sex with the following characteristics: 40% of the accidents were strong and 30% were moderate. Women suffered 20% of the accidents. Of the total number of serious accidents, men suffered 85.5% of the accidents. Similarly, of the total moderate accidents, women suffered 45% of the accidents. Calculate the following probabilities:- If a woman suffered an accident, what is the probability that it was minor?- If a man suffered an accident, what is the probability that he is strong?