Draw a tree diagram for each of the following experiments. a) Suppose a lecturer selects two students as a class representative and an assistant. State the combination of females and/or males selected as the representative and the assistant if there are 2 males and 3 females in the class.

Draw a tree diagram for each of the following experiments. a) Suppose a lecturer selects two students as a class representative and an assistant. State the combination of females and/or males selected as the representative and the assistant if there are 2 males and 3 females in the class.

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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the sample space s= ( E1,E2,E3,E4,E5,E6,E7,E8,E9,E10,E11) and A=(E5,E6,E7,E8) and B=(E5,E7,E9,E11) what is A interaction B? what is the A union of A and B?
Thank you for your feedback on part b. Per your instruction, re-posting question part a. I need help visualizing a tree diagram for this problem. Thank you in advance. Question: A family wants to adopt pets from the local animal rescue. They have prepared a final list of five, all of whom are healthy. Of the five animals, one is a cat and four are dogs. The family decides to select two animals randomly from these five possibilities. a.) Draw a tree diagram to show all possible outcomes of this selection process. Label the probability associated with each stage of the selection on the appropriate branch. Make a table with the outcomes and the probability of each outcome.
This semester, we have talked about creating random samples as well as desirable qualities of random samples. Other than randomness, one quality of random samples that we have talked about is representation. Using your knowledge of that concept, consider this problem. At a college, 29% of the students are in their first year, 27% are in their second year, 25% in their third, and 19% in their fourth. You take a survey of students and when you classify them by year of study, you have 49, 70, 56, and 25 students in their first, second, third, and fourth years respectively. The table below highlights this information. Year of School First Second Third Fourth Total College Percents Sample Counts Expected Counts 27% 70 25% 56 29% 19% 49 25 200 58 54 50 38 Under the assumption that we think the college enrollment percentages should match our sample, and that therefore our sample represents the college: a) What would the critical value be? (use a = 0.05) b) Find the test statistic to test (c)…
1) Each night you can count on getting either one, two, or three emails from your math teacher. There is a 35% change you will get one email, a 40% chance you will get two emails, and a 25% chance you will get three emails. What is the expected number of emails you will get on a given night? A) 0.75 B) 0.35 C) 0.80 D) 1.9
At a tourist place, it has been observed that: 40% of the women like to travel with a Purse, 30% of the women like to travel with a Sunglass, 35% of the women like to travel with a Watch, and it is also noted that: 12% of the women like to travel with a Purse and a Sunglass, 3% of the women like to travel with all these three luxuries, 10% of the women like to travel with a Purse and a Watch, and 8% of the women like to travel only with a Sunglass. Purse Watch Sunglass Modern women like luxury. A woman What percentages of the women like to travel with Watch only? a. 30% b. 27% ♥ What percentages of the women do not like to carry them C. 40% (Purse, Sunglass, Watch)? v What percentages of women like to travel with Purse only? v What percentages of women like to travel with both Watch f. 13% and Sunglass? d. 65% e. 15% g. 52% v What percentages of women like to travel either with Watch or with Sunglass? v What percentages of women like to travel with Sunglass only? h. 8% i. 21%
When planning a date night, you have a choice of 2 types of restaurants: pizza (P) or barbeque (B); a choice of 4 types of movies: romantic comedy (R), action/adventure (A), drama (D), or foreign film (F); and a choice of 2 types of post-movie activities: grabbing coffee (C) or getting ice cream (I). If you are choosing only one of each, list the sample space in regard to the dates (combinations of restaurants, movies, and post-movie activities) you could pick from.
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Example 1: The owner of a local restaurant chain in town was trying to determine the best location to open her next restaurant and she had narrowed it down to two locations. She wanted to make her decision based on how interested residents in each area were in her restaurant. So she hired an independent company to survey residents from each neighborhood to gauge their interest. In the first neighborhood, 120 residents were surveyed and 84 of them expressed interest in the new restaurant. In the second neighborhood, 200 residents were surveyed and 110 of them expressed interest in the new restaurant. Carry out an appropriate hypothesis test at the a = 0.02 level to determine if there is sufficient evidence to suggest that one neighborhood is more interested in the new restaurant than the other.
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