Cve the defruitions ofenti andclefinitions oft union, inteseition,complementsubset toFo(Uinti) = U FO E-)

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Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter10: Sequences, Series, And Probability

Section10.8: Probability

Problem 32E

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An Uber XL can hold between 1 and 4 people. One September evening, 5 distinct and random people need rides. As a group, they order two Uber XLs to take them home. How many ways could the 5 people break up into two groups for the Uber XLs? (assume the ubers are interchangeable).
A $150 eReader comes with a warranty from an electronics business that covers theft (T) and accidental damage (AD) . Due to the high expense of repairing an eReader, it is more cost-effective for the business to provide the customer a complete refund to go toward another one. There is a 5.1% possibility that an AD (Accidenal Claim) claim will be made in any given year. Assume there can only be one claim made (not one of each type).Customers who report an eReader as stolen will get a reimbursement for 80% of the item's full price. A Theft (T) claim is likely to be submitted 3.5% of the time in any given year.What is the anticipated financial benefit or loss for the firm on each contract if the warrantee costs $15.95 for a year?(NOTE: Keep in mind that regardless of whether a claim is made, the consumer will pay for the warranty upfront.)
A television director has to schedule commercials during 6 time slots allocated to commercialsduring the national telecast of the first period of a Montréal Canadiens hockey game.(a) In how many ordered ways can the television director schedule 6 different commercialsduring the 6 time slots?(b) In how many ways can the television director fill the 6 time slots allocated tocommercials, if there are 4 different commercials, of which a given one is to be shown 3times while each of the others is to be shown once?(c) As in (b) except the commercial shown three times can’t be shown before or after itself(i.e., not consecutively). How many ways can the television director fill the 6 time slots?
It was found that 33% of all diners order vegan meals and that 90% of all diners are undergraduate students. Furthermore, 30% of all undergraduate students order vegan meals. Label the event “diner orders a vegetarian meal” as V and call the event “diner is an undergraduate student” as U. 1. Are V and U independent? 2. Are V and U mutually exclusive? 3. Are V and U collectively exhaustive?
A glazier buys his glass from four different manufacturers - Clearglass (10%),Strongpane (25%), Mirrorglass (30%) and Reflection (35%). In the past, the glazierhas found that 1% of Clearglass' product is cracked, 1.5% of Strongpane's productis cracked, and 2% of Mirrorglass' and Reflection's products are cracked. Theglazier removes the protective covering from a sheet of glass without looking at themanufacturer's name - in other words, it's a random choice. He finds the glass iscracked. What is the probability it was made by Mirrorglass?
1. Hugo and Viviana work in an office with eight other coworkers. Out of these 10 workers, theirboss needs to choose a group of four to work together on a project. Suppose Hugo and Viviana absolutelyrefuse, under any circumstances, to work together. Under this restriction, how many different workinggroups of four can be formed?
There are 26 letters in the English alphabet. How many ways are there of ordering the letters so the S and T remain next to each other (though not necessarily in that order, so ST or TS are both acceptab;e)?
Standard license plates for passenger vehicles in California are of the form NMLMXXX where N is any digit except 0, X is any digit, L is any uppercase letter and M is any uppercase letter except I, O and Q. What is the minimal number of California licensed vehicles that need to be parked in a parking structure to guarantee that there are ten vehicles with the same first digit, last digit and the first letter in their license plate number? Assuming that all combinations of letters are allowed, what is the minimal number of vehicles in the structure that guarantees that at least ten have the license plate number beginning with 1, ending with 6 and having the first letter P?

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