Thousands of college students are attending a political conference and are about to enjoya dinnerbanquet. The...

Thousands of college students are attending a political conference and are about to enjoya dinnerbanquet. The probability a randomly selected student is a Democrat is .70. The probability a randomly selected student is a Republican is .30.Before the banquet, students were asked what they wanted for dinner. Their options were a vegetarian dish, beef, or chicken.Among the Democrat students, the proportion who requested the vegetarian dish was .20, the proportion who requested beef was .30, and the proportion who requested chicken was .50.Among the Republican students, the proportion who requested the vegetarian dish was .10, the proportion who requested beef was .50, and the proportion who requested chicken was .40.Draw a tree diagram and use it to answer these questions:3aIf a student is selected at random, what is the probability they are both a Democrat and requested chicken for dinner?3bIf a student is selected at random, what is the probability they requested the vegetarian dish for dinner?3cGiven that a randomly selected student requested beef for dinner, what is the probability they are a Republican?

Solutions

Expert Solution

Branch probabilities written in blue are multiplied to get the pink probabilities of nodes(end points).

These pink probabilities represent the chances of ending on that node.

For e.g democrat----->ordering chicken----->will take you to 0.35

branch probabilities those in blue are the probabilities of taking the particular route.

Please upvote If I am able to help you.

Thanks

orchestra answered 1 year ago

Next > < Previous

Related Solutions

A report claims that 46% of full-time college students are employed while attending college. A recent...

A report claims that 46% of full-time college students are employed while attending college. A recent survey of 60 full-time students at a state university found that 28 were employed. Use the five-step p-value approach to hypothesis testing and a 0.05 level of significance to determine whether the proportion of full-time students at this state university is different from the national norm of 0.46. find the t statistic find the p value find the critical value

College students are increasingly working while attending school. A study was conducted to determine if there...

College students are increasingly working while attending school. A study was conducted to determine if there is a significant difference in earnings of male college students and female college students during the eight months of the academic year. A sample of 800 male students earned an average of $5,995 with a standard deviation of $2,500. A sample of 700 working female students earned an average of $5,480 with a standard deviation of $2,600. Use .10 level of significance. Which of...

Two economists are attending a conference in an unfamiliar city. At the end of the day,...

Two economists are attending a conference in an unfamiliar city. At the end of the day, Economist A states she is “in the mood for a high quality dinner” and wanders through the center of the city looking for a restaurant. After narrowing her search to two fine-dining establishments located on the same block, she ultimately selects the restaurant with the higher prices. Assume you are Economist B and choose to go to a one-price all-you-can-eat buffet nearby. Using economic...

sample CGPA of students attending a certain college are as follows – 3.3 3.0 2.4 3.2...

sample CGPA of students attending a certain college are as follows – 3.3 3.0 2.4 3.2 1.7 3.1 2.0 3.9 3.1 2.9 3.2 4.0 1.8 3.0 0.6 a. Calculate the Standard Deviation. [3 Marks] b. Prepare a box plot. [3 Marks] c. Identify whether there are any outliers. [2 marks]

a). Professor Jennings claims that only 35% of the students at Flora College work while attending...

a). Professor Jennings claims that only 35% of the students at Flora College work while attending school. Dean Renata thinks that the professor has underestimated the number of students with part-time or full-time jobs. A random sample of 79 students shows that 35 have jobs. Do the data indicate that more than 35% of the students have jobs? Use a 5% level of significance. What is the value of the sample test statistic? (Round your answer to two decimal places.)____?...

Illustration: Whether they have to or want to, many students work while attending college and many...

Illustration: Whether they have to or want to, many students work while attending college and many students even attempt to do both full-time. Discuss three difficulties students face when they work while going to school. Be sure to provide three clear examples to support your point. Use third-person examples, do not write the essay as a narrative.

3. The heights of female students attending a sixth form college have a mean of 168...

3. The heights of female students attending a sixth form college have a mean of 168 cm and standard deviation of 4.5 cm. The heights can be modeled by a normal distribution: a. Find the probability that the height of a randomly selected female student attending this college is less than 172.5 cm? b. Find the probability that the mean height of a random sample of 11 female students from this college exceeds 172 cm?

A firm specializes in leasing apartments to students attending a nearby college. The firm has several...

A firm specializes in leasing apartments to students attending a nearby college. The firm has several apartment blocks (each block has 100 apartments) in different locations and distances from the campus. The firm has estimated a regression model to understand the effect of three variables on the demand for its apartments. The results obtained from the regression model is provided below. Regression Results Coefficients Standard Error t Stat P-value Intercept 108.96 15.55 7.01 0.00 P -0.10 0.03 -3.33 0.004 B...

Assuming you will speak to 30 people attending a conference, if there is a 28% chance...

Assuming you will speak to 30 people attending a conference, if there is a 28% chance they are staying in the hotel hosting the conference. Find the following binomial probabilities. What is the chance that more than 10 people are staying in the hosting hotel? Answer 1 Choose...0.1943 0.0138 0 100% 0.0495 What are the chances that everyone you talk to is staying at the hosting hotel? Answer 2 Choose...0.1943, 0.0138, 0, 100%, 0.0495 What are the chances you don't...

Professor Jennings claims that only 35% of the students at Flora College work while attending school....

Professor Jennings claims that only 35% of the students at Flora College work while attending school. Dean Renata thinks that the professor has underestimated the number of students with part-time or full-time jobs. A random sample of 85 students shows that 38 have jobs. Do the data indicate that more than 35% of the students have jobs? Use a 5% level of significance. What is the level of significance? State the null and alternate hypotheses. What is the value of...

Subjects