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- 1M&M plain candies come in various colors. According to the M&M/Mars Department of Consumer Affairs, the distribution of colors for plain M&M candies is as follows. Color Percentage Suppose you have a large bag of plain M&M candies and you choose one candy at random. Purple 21% Yellow Red 17% 23% Orange 10% Green 9% Blue 8% (a) Find P(green candy or blue candy). Are these outcomes mutually exclusive? Why? No. Choosing a green and blue M&M is possible. O No. Choosing a green and blue M&M is not possible. O Yes. Choosing a green and blue M&M is possible. O Yes. Choosing a green and blue M&M is not possible. (b) Find P(yellow candy or red candy). Are these outcomes mutually exclusive? Why? O Yes. Choosing a yellow and red M&M is possible. O Yes. Choosing a yellow and red M&M is not possible. O No. Choosing a yellow and red M&M is not possible. O No. Choosing a yellow and red M&M is possible. (c) Find P(not purple candy). Brown 12%M&M plain candies come in various colors. According to the M&M/Mars Department of Consumer Affairs, the distribution of colors for plain M&M candies is as follows. Color Purple Yellow Red Orange Green Blue Brown Percentage 22% 20% 21% 7% 6% 9% 15% Suppose you have a large bag of plain M&M candies and you choose one candy at random. (a) Find P(green candy or blue candy).Are these outcomes mutually exclusive? Why? No. Choosing a green and blue M&M is not possible.Yes. Choosing a green and blue M&M is possible. Yes. Choosing a green and blue M&M is not possible.No. Choosing a green and blue M&M is possible. (b) Find P(yellow candy or red candy).Are these outcomes mutually exclusive? Why? No. Choosing a yellow and red M&M is possible.Yes. Choosing a yellow and red M&M is possible. No. Choosing a yellow and red M&M is not possible.Yes. Choosing a yellow and red M&M is not possible. (c) Find P(not purple candy).
- A. 40%B. 60%C. 20%D. 80%1. A survey of voters in past election shows the following: Democrat (D) Republican (R) Total Male (M) 20 30 50 Female (F) 32 18 50 Total 52 48 100 find the following probabilities: A) P (voter is male or voter is republican) = B) P (voter is democrat given voter is female)=A high school track coach wanted to test whether giving the students an energy drink could affect performance during the 100 meter race. The coach split the 26 boys into two equal sized groups, where Group 1 was given the energy drink and Group 2 was not. The 100 meter race times were recorded during practice and shown in the table below. What inference can be made about the results? Group 1 Group 2 12.2 13 12.5 12.3 13.3 12.8 12.9 13 13 13.8 12.1 13 13 13 13 13 12.1 13 13 13 12.1 13 12.8 13 13 12.6 Mean: 12.7 Mean: 13 Since the simulation shows ( many cases or free cases )? where a mean difference of ( solve for this answer ) or less occurred when the groups were re-randomized, it can be inferred that the mean difference observed in the study was ( very possibly or very unlikely ) ?due to the random assignment of participants into groups, so the results of the study are (…
- 3. From the tree diagram find the following probabilities 0.1 0.1 B 0.7 O.8 O. 1 0.4 B 0.5 (i) P(An E) (ii) P(A) (iii) P(A|E)a. A random sample of 150 approved mortgage applications is selected from a bank's database. Customers of this bank can choose either variable or interest-only mortgages. These mortgage choices have either a 20-year or 30-year term. The data are displayed i table below. Term Type of Mortgage 20-year Total 30-year 25 Variable 45 Interest Only 40 40 Total Use the table above to answer the questions below. i. If an approved application is selected at random, what is the probability that it is a 30-year term application? ii. If an approved application is randomly selected, what is the probability that the mortgage choice is variable and has a term of 20 years or is interest only and has a term of 20 years?Ku In De 1) U4-118 CCSS IP Math II Teacher Resource 4.2.2 PRACTICE UNIT 4 • APPLICATIONS OF PROBABILITY Lesson 2: Conditional Probability OITAOU9RA Less sno Read each scenario and use the information to answer questions 7–10. Intro Dat 7. A total of 20% of a fire department's firefighters are in the Special Units Division A total of 8% of the department's firefighters are in the Special Units Division and have a college degree. What is the probability that a firefighter in the Special Units Division has a college degree? wit gaibulbni 2siivinA Insbune 2odb ainsbute IA The or
- 6. One thousand tickets are sold at $1 each for prizes of $200, $100, $50, and $25 (one of each prize). the What are After each prize drawing, the winning ticket is then returned to the pool of tickets. expected winnings if you purchase one ticket?Let S = {E1, E2, E3, E4} be the sample space of an experiment and let = {E1, E2}, B = {E3}, and C = {E3,E4} be events from S. The probabilities of the sample points are assigned as follows: P(E1) = 0.40, P(E2) = 0.40, P(E3) = 0.10, and P(E4) = 0.10. Find P(A). %3D Select one: O a. 0.60 O b. 0.80 O C. 0.70 O d. 0.30Q7. 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.
