pnkch/OneDrive/Desktop/SCHOOL/SPRING%202023/MATH-110-0377%20GONZALINAJEC/LAB%20... QHulu Login | Hulu Citizenship and Im... IRS Log InHBO MaxT Read aloud3Q Search●●Lab 4(b)-ProbabilityPart 1: Candy contingency tableObjective: In this lab, you will use M&M candies to create a contingency table and explore the concepts ofprobability and independence.●.Materials:● Three different types of M&M bags. One must be plain. The other two you may select.M&M types are peanut, almond etc.Purchase M&M types which have an obviously different shape to ensure you are able to sortthem by type after they have been mixed.The bags you purchase should, preferably, be a sharing size to ensure you have a sufficientnumber of M&M'soOO-Two bowls or container to hold the candies.A large serving spoonSix small cups to sort the candyM&M ColorO or 6 paper plates to sort the candyO or 6 napkins to sort the candyThe table below to record your dataBlueBrownGreenOrange+RedYellowBBCTotalsA Peanut5S54691736M&M TypeB Crispy59of 4 D5381141Plain34327423TotalsFAR131812112422Note: Each row of the table represents the color of the M&M candy. Since those colors are fixed, they are filled in for100MyFTB | Taxpayer O...zoomDELL)W7P ers/pnkch/OneDrive/Desktop/SCHOOL/SPRING%202023/MATH-110-0377%20GONZALINAJEC/LAB%20... QHBO Max Hulu Login | Hulu Citizenship and Im...ey+T Read aloudQ Search-+3.←1. What is the probability of selecting a plain M&M candy?P (plain M&M) = 23/100= 0.23= 23%3Analysis:Using the contingency table generated in Step 4 of the procedure, answer the following questions. You mustshow all of your work. Round all probabilities to four decimal places..of 4IRS Log In2. What is the probability of selecting a red M&M candy?P (selecting red M&M) = 24/ 100= 0.24 = 24%What is the probability of selecting a plain M&M candy, given that the candy is orange?S4. Are the events "selecting a Type A M&M candy" and "selecting a blue M&M candy" independent? Explainwhy or why not.5. Are the events "selecting a brown M&M candy" and "selecting an Type B M&M candy" mutuallyexclusive? Explain why or why not.6. What is the probability of selecting a green M&M candy or an plain M&M candy?7. What is the probability of selecting a Type A M&M candy, given that the candy is not yellow?MyFTB | Taxpayer O....zoomDELLDWHeS

Given data: Peanut Crispy Plain Row Totals Blue 5 5 3 13 Brown 5 9 4 18 Green 4 5 3 12…

Answered: 3. What is the probability of selecting…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Suppose the data below represent, in thousands, the type of health insurance coverage of people by age. Determine P( 64 79,133 55,331 24,270 24,495 14,055 12,897 39,495 13,851 7,811 27,848 554 79,773 121,036 82,079 64,319 P(< 18 years old) = (Round to three decimal places as needed.) Total 206,201 90,942 50,064 347,207
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Consider the experiment of tossing a coin twice and then rolling a dice a. Develop a tree diagram for the experiment b. List the experimental outcomes c. What is the probability for each experimental outcome? d. Is this an question based on independent event or this is mutually exclusive? Please explain your answer.
7. Aaron purchased 19 video games. The defect rate for these types of video games is 1.8%. What is the probability that at least three of the video games he purchased are defective?
A survey was being conducted to learn about attitude of a certain population towards the medical and housingplans. The survey asked the male and female respondents that how important the level of risk they had felt inchoosing a housing or a medical plan. The following table was constructed from the data provided. “High”means the respondent said level of risk was either important or very important. Male FemaleHigh 22 27Low 28 23 3 (b) List some possible events from the above random experiment. 3 (c) What is the probability of a survey respondent had said that the level of risk isHigh? Write the sample space of this random experiment. Suppose if a female respondent is selected randomly, what is the probability thisfemale respondent had said level of risk is High?
a. What do you mean by dependent and independent events? Fit one simple real-life example, which really reflect the concepts of dependent and independent events. b. There are five people applied for the position of chief executive of enterprises. Three of the applicants are over the age of 60 years. Two are female and one of them is over 60. i. What is the probability of a female person above 60? ii. If a person is male, what then is the probability of a male below 60? iii. If a person is over 60, what then is the probability of a female above 60?
Q. 22 If A and B are independent events, how about the independence of their complements A and B?
3.32 A pair of fair dice is tossed. Define the following events: A: B: {You will roll a 7.} (i.e., The sum of the dots on the up faces of the two dice is equal to 7.) {At least one of the two dice shows a 4.} a. Identify the sample points in the events A, B, An B, AUB, and Ac. b. Find P(A), P(B), P(A^ B), P(AUB), and P(A) by summing the probabilities of the appropriate sample points. c. Find P(AUB) using the additive rule. Compare your answer with that for the same event in part b. d. Are A and B mutually exclusive? Why?
A nationwide survey conducted by the National Cancer Society revealed the following information. Of 10,000 peoplesurveyed 3,200 were “heavy coffee drinkers”, and 160 of those surveyed had cancer of the pancreas. Of those who hadcancer of the pancreas, 132 were heavy coffee drinkers. Using the data in this survey, determine whether the events “beinga heavy coffee drinker” and “having cancer of the pancreas” are independent events.
32. A field trip in Bukidnon was organized by an institution as part of their goals to extend community engagement to their pupils. However, a tragic accident happened on their way to their destination. After the rescue operation, the team tallied the number of survivors and missing persons. (a) If we randomly select someone who was a part of the field trip, what is the probability of getting a woman, given that the selected person was rescued? (b) What is the probability of getting a boy or girl, given that the randomly selected person is missing? Men Women Boys Girls Rescued 20 10 7 16 Missing 15 13 10 8.
7. State College is playing a rival team for the football championship. If State's first- string quarterback is healthy, State College has a 75% chance of winning. If they have to start their backup quarterback, their chances of winning drop to 40%. The team physician says that there are a 70% chance that the first-string quarterback will play. a. What is the probability that State will win that game? b. Suppose that you miss the game but you read in the headlines of Sunday's paper that State won. What is the probability that the second-string quarterback started?
1. You select a coin at random from your pocket. You replace the coin and select again. Are your selections independent events? Explain.

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