MATLAB: An Introduction with Applications
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ISBN: 9781119256830
Author: Amos Gilat
Publisher: John Wiley & Sons Inc
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In the following problem, check that it is appropriate to use the normal approximation to the binomial. Then use the
What's your favorite ice cream flavor? For people who buy ice cream, the all-time favorite is still vanilla. About 25% of ice cream sales are vanilla. Chocolate accounts for only 7% of ice cream sales. Suppose that 168 customers go to a grocery store in Cheyenne, Wyoming, today to buy ice cream. (Round your answers to four decimal places.)
(c) A customer who buys ice cream is not limited to one container or one flavor. What is the
(d) What is the probability that between 50 and 60 customers will buy chocolate or vanilla ice cream? Hint: Use the probability of success computed in part (c).
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- Use the scenario below to determine the correct values of n, p, q and x of the binomial distribution. Suppose that in a certain video game there is a 5.1% item drop rate of wild meat after defeating a Beast Master. Assume 14 Beast Masters are defeated. What is the probability that 5 wild meats will drop? n = p = q = X =arrow_forwardRecent studies have shown that about 16% of American adults fit the medical definition of being obese. A large medical clinic would like to estimate what percentage of their patients are obese, so they take a random sample of 400 patients and find that 52 are obese. Suppose that in truth, the same percentage holds for the patients of the medical clinic as for the general population, 16%. Find the mean of the sampling distribution of p̂.arrow_forwardAn insurance company will insure a $75,000 automobile for its full value against theft by apolicy with a premium of $1,500 per year. Suppose that the probability that the automobile willbe stolen is 0.0075.a. Construct the probability distribution.b. Calculate the insurance company's expected net profit for this policy.arrow_forward
- In the following problem, check that it is appropriate to use the normal approximation to the binomial. Then use the normal distribution to estimate the requested probabilities.What are the chances that a person who is murdered actually knew the murderer? The answer to this question explains why a lot of police detective work begins with relatives and friends of the victim! About 62% of people who are murdered actually knew the person who committed the murder.† Suppose that a detective file in New Orleans has 64 current unsolved murders. Find the following probabilities. (Round your answers to four decimal places.) (a) at least 35 of the victims knew their murderers(b) at most 48 of the victims knew their murderers(c) fewer than 30 victims did not know their murderers(d) more than 20 victims did not know their murderersarrow_forwardUse the geometric distribution to calculate the following probabilities. a.Find the probability that the first success occurs on the third trial when ?=0.3p=0.3. b.Find the probability that the first success occurs on the fifth trial when ?=0.3p=0.3. c.Find the probability that the first success occurs on the third trial or later when ?=0.3p=0.3. d.Find the probability that the first success occurs on or before the third trial ?=0.3p=0.3. e.Find the probability that the first success occurs on the second or third trial when ?=0.3p=0.3.arrow_forwardPlease, help me. I need the right answer.arrow_forward
- Assume each newborn baby has a probability of approximately 0.49 of being female and 0.51 of being male. For a family with four children, let X = number of children who are girls. Identify p for the binomial distribution.arrow_forwardA psychologist believes that 65% of male drivers when lost continue to drive hoping to find the location they seek rather than ask directions. To examine this belief, he took a random sample of 350 male drivers and asked each what they did when lost. Assume that the sampling distribution of the sample proportion of male drivers who continue driving is at least approximately normal. If the belief is true, determine the probability that less than 60% said they continue driving. Show your work belowarrow_forwardIn a recent survey, approximately 90% of U.S. adults own a cell phone. Let's assume this can be modeled as a binomial distribution. In a group of 20 randomly selected adults, what is the standard deviation of the number of adults you would expect to own a cell phone? TTT Arial v T RBC 3 (12pt) Click Save and Submit to save and submit. Click Save All Answers to save all answers.arrow_forward
- A ballet instructor is interested in knowing what percent of each year's class will continue on to the next, so that she can plan what classes to offer. Over the years, she has established the following probability distribution. • Let X = the number of years a student will study ballet with the teacher. • Let P(x) = the probability that a student will study ballet x years. Complete the table below using the data provided. (Enter exact numbers as integers, fractions, or decimals.) x P(x) x*P(x) 1 0.10 2 0.10 3 0.20 4 5 0.20 6 0.20 7 0.05arrow_forwardThe average student loan debt for college graduates is $25,650. Suppose that that distribution is normal and that the standard deviation is $14,350. Let X = the student loan debt of a randomly selected college graduate. Round all probabilities to 4 decimal places and all dollar answers to the nearest dollar.b Find the probability that the college graduate has between $28,800 and $41,400 in student loan debt. c. The middle 20% of college graduates' loan debt lies between what two numbers? Low: $ High: $arrow_forward
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