According to Mars, Incorporated, 20.5% of the M&M'S® Milk Chocolate Candies made at itsCleveland factory are orange. Assume that the company's claim is true. Suppose you take arandom sample of 8 candies from a large bag of M&M'S. Let X = the number of orangecandies you get.Orange M&M'Sa. Explain why it is reasonable to use the binomial distribution for probabilitycalculations involving X.b. What's the probability that you get 3 orange M&M'S?c. Calculate P(X ≥ 4). Interpret this result.d. Suppose that you get 4 orange M&M'S in your sample. Does this result provideconvincing evidence that Mars's claim about its M&M'S is false? Justify youranswer.Orange M&M'Sa. Find and interpret the expected value of X.b. Find and interpret the standard deviation of X.

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Answered: According to Mars, Incorporated, 20.5%…

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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It has been found from experience that there is an average of five faults per 50 metres of cloth produced by a linen factory. If we randomly select 50 metres of cloth, what is the probability that there will be more than two faults?
Suppose you model a game of chance with a discrete probability distribution. Let X be the net amount of money or lost by the player. Let pX be the probability of the corresponding outcome. The three events are as follows: There is a 23% chance the player wins 7 dollars. there is a 38% chance the player loses 4 dollars. there is a 39% chance the player breaks even. COMPLETE THE TABLE BELOW TO MODEL THE SCENARIO X PX)
The probability that a randomly chosen student in a statistics class submits his/her homework on time is 0.10. Each student does homework independently. In a statistics class of 50 students, what is the probability that at least 5 will do their homework on time?
suppose we select an SRS of 1010 adults. If it is believed that 60% of all adults are very satisfied with their lives, what is the probability that at least 610 adults in our sample are very satisfied with their lives?Let X be the number (out of 1010) of adults who are very satisfied with their lives. What distribution should X have? Why?
Suppose that a recent poll found that 50% of adults in a certain country believe that the overall state of moral values is poor. If a survey of a random sample of 15 adults in this country is conducted in which they are asked to disclose their feelings on the overall state of moral values, complete parts (a) through (e) below. Click here to view the table for the binomial probability distribution. Click here to view the table for the cumulative binomial probability distribution. ..... (a) Find and interpret the probability that exactly 9 of those surveyed feel the state of morals is poor. The probability that exactly 9 of those surveyed feel the state of morals is poor is. (Round to four decimal places as needed.) Interpret the results. Choose the correct answer below. In 100 trials of this experiment, we expect about to result in exactly 9 adults who feel the state of morals is poor. (b) Find and interpret the probability that no more than 3 of those surveyed feel the state of morals…
Industry standards suggest that 12 percent of new vehicles require warranty service within the first year. University Toyota in Morgantown, WV sold 10 Toyotas yesterday. Compute the mean of the probability distribution.
Suppose you are going to draw 20 cards, with replacement, from a deck of 52 cards and record the proportion of draws that are red. There are 26 red and 26 black cards in a typical deck of cards. You draw the 20 cards, replacing each card between draws, and 2/20 cards drawn are red. Are you suspicious about the fairness of this deck of cards? Simply list the answer to your probability calculation and explain your reasoning.
Bryan is performing data entry for an insurance company by taking handwritten records and entering them into the database. Thus far, 15.6% of the handwritten records have had missing data that prevented them from being entered into the database. If Bryan takes 10 handwritten records, what is the probability that at most three records will be incomplete?
Suppose a math class contains 37 students. There are 19 females (six of whom speak Spanish) and 18 males (five of whom speak Spanish). Give all answers as decimals to at least two decimal places.1. What is the probability that a randomly selected student speaks Spanish, given that the student is female? 2. What is the probability that a randomly selected student does not speak Spanish, given that the student is male? 3. What percent of Spanish speaking students are male? 4. If someone does not speak Spanish what is the probability they are female?
A class president is favored by 53% of all students voting, assuming this is accurate, a random sample of 400 students are surveyed. 1. What is the probability that less than 49% will favor this student? 2. What is the probability that more than 57% will favor the student?
A professional tennis player claims to get 90% of her second serves in. In a recent match, the player missed 5 of her first 20 second serves. Is this a surprising result if the player's claim is true? Assume that the player has a 0.10 probability of missing each second serve. We want to carry out a simulation to estimate the probability that she would miss 5 or more of her first 20 second serves. The dotplot displays the number of second serves missed by the player out of the first 20 second serves in 100 simulated matches. ▪………………………. ●●●●●●●●●●●●●● A●●●●●●●● …………….. 1 2 3 4 5 6 Number of missed serves in simulated match 7 Is there convincing evidence that the player misses more than 10% of her second serves? Why or why not? No, there is not convincing evidence that the player misses more than 10% of her second serves. Missing 5 out of 20 is better than expected. No, there is not convincing evidence that the player misses more than 10% of her second serves. Assuming the player makes…

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