Cookie Chocolate chip Peanut butter Oatmeal Sugar/shortbread Other Total Frequency 483 231 147 126 63 1050 a. Determine the probability distribution. b. What is the probability of selecting a person whose favorite cookie was chocolate chip? What is the probability of selecting a person whose favorite cookie was not chocolate chip? d. What is the probability of selecting a person whose favorite cookie was chocolate chip or a person whose favorite cookie was peanut butter?
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- A production manager knows that 5% of components produced by a particular manufacturing process have some defect. Six of these components, whose characteristics can be assumed to be independent of each other, are examined.a. What is the probability that none of these components has a defect?b. What is the probability that one of these components has a defect?c. What is the probability that at least two of these components have a defect?When a pair of dice is tossed, the results may be any whole number from 2 through 12. In the game of craps one can win by tossing either a 7 or an 11 on the first roll. What is the probability of doing this?The U.S. Census Bureau serves as the leading source of quantitative dataabout the nation's people and economy. The following crosstabulationshows the number of households (1000s) and the household income by the highest level of education for the head of household (U.S. Census Bureau website, 2013). Only households in which the head has a high school diploma or more are included. a. Develop a joint probability table.b. What is the probability of the head of one of these householdshaving a master's degree or more education?c. What is the probability of a household headed by someone with ahigh school diploma earning $100,000 or more: d. What is the probability of one of these households having anincome below $25,000?e. What is the probability of a household headed by someone with abachelor's degree earning less than $25,000?f. Is household income independent of educational level?
- A restaurant manager classifies customers as regular, occasional, or new, and finds that of all customers 50%, 40%, and 10%, respectively, fall into these categories. The manager found that wine was ordered by 70% of the regular customers, by 50% of the occasional customers, and by 30% of the new customers.a. What is the probability that a randomly chosen customer orders wine?b. If wine is ordered, what is the probability that the person ordering is a regular customer?c. If wine is ordered, what is the probability that the person ordering is an occasional customer?You work at a mechanic shop. 40% of cars that come in have a flat tire. If there are 50 cars in the shop, what is the probability that more than 30 have a flat tire? Round to three decimal points.Early in August an undergraduate college discovers that it can accommodate a few extra students. Enrolling those additional students would provide a substantial increase in revenue without increasing the operating costs of the college; that is, no new classes would have to be added. From past experience the college knows that the frequency of enrollment given admission for all students is 40%.a. What is the probability that at most 6 students will enroll if the college offers admission to 10 more students?b. What is the probability that more than 12 will actually enroll if admission is offered to 20 students?c. If the frequency of enrollment given admission for all students was 70%, what is the probability that at least 12 out of 15 students will actually enroll?
- 1 A car dealer has established that 40% of his potential customers prefer single cab cars while 60% prefer double cab cars. From a recent survey among his existing clients, he obtained additional information which indicates that 15% of clients who bought single cab cars prefer air conditioning while 65% of clients who bought double cars prefer air conditioning.Required:a) What is the probability that a client who bought a single cab does not prefer air conditioning? (5)b) What is the probability that a client prefers a double cab with air conditioning?On Monday's there are eight classes taught in the business building. The probability that any of those classes starts late is 0.3. What is the probability that at least one these classes will start late on Monday?The probability that the next President will be a Democrat is 0.5, and the probability that the next President will be a woman is 0.3. The probability the next President will be a woman and a Democrat is 0.1. What is the probability the next President will be a Democrat or a woman?
- A class consists of 17 women and 65 men. If a student is randomly selected, what is the probability that the student is a woman?A local university has a student population that is 57% male. 64% of the students are undergraduates; 40% are both male and undergraduates. What is the probability that a randomly selected student is either male or an undergraduate?Suppose that there are two types of workers: high and low. Employers cannot distinguish between different types during an interview. Employers value high type at $200,000 and low type at $100,000. Employers are in a competitive market (i.e. zero profit applies). High type workers have a reservation wage of 140,000 and low type workers have a reservation wage of 80,000. Suppose that 50% of all workers are high type. The productivities, reservation wages, and the probabilities are common knowledge). What wage would the employers offer? Please explain the solution!