Statistics for Business and Economics
8th Edition
ISBN: 9780132745659
Author: Paul Newbold, William Carlson, Betty Thorne
Publisher: PEARSON
expand_more
expand_more
format_list_bulleted
Question
Chapter 4.3, Problem 22E
(a)
To determine
Determine the probability distribution of the random variable.
(b)
To determine
Determine the probability distribution of random variable Y.
(c)
To determine
Determine the mean and variance of random variable X.
(d)
To determine
Determine the mean and variance of random variable Y.
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solution
Students have asked these similar questions
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.
Question 3
a) Grace Floral Shop sells several types of roses for all occasions. It is known that 43% of
(i)
(ii)
(iii)
the roses that is sold by Grace Floral Shop are Eden Roses. 12 roses are ordered to put in
a bouquet
Stating its parameter(s), what is the probability distribution of this variable?
State the conditions that influence your choice of distribution.
Calculate the probability that at most 2 of the roses were Eden Roses.
b) The number of telephone calls coming into Grace Floral Shop to place orders averages 3
per minute.
(i)
(ii)
Stating its parameter(s), what is the probability distribution of this variable?
Compute the probability that 5 calls will arrive per minute.
(iii) Compute the probability that 3 or more calls will arrive in a 3-minute interval?
a. A company produces lightbulbs whose life follows a normal distribution, with mean 1200 hours and standard deviation 250 hours. If we choose a lightbulb at random, what is the probability that its lifetime will be between 900 and 1300 hours? (answer in three decimal places)
Chapter 4 Solutions
Statistics for Business and Economics
Ch. 4.1 - Prob. 1ECh. 4.1 - Prob. 2ECh. 4.1 - Prob. 3ECh. 4.1 - Prob. 4ECh. 4.1 - Prob. 5ECh. 4.1 - Prob. 6ECh. 4.1 - Prob. 7ECh. 4.1 - Prob. 8ECh. 4.2 - Prob. 9ECh. 4.2 - Prob. 10E
Ch. 4.2 - Show the probability distribution function of the...Ch. 4.2 - Prob. 12ECh. 4.2 - Prob. 13ECh. 4.2 - Prob. 14ECh. 4.3 - Prob. 15ECh. 4.3 - Prob. 16ECh. 4.3 - Prob. 17ECh. 4.3 - Prob. 18ECh. 4.3 - Prob. 19ECh. 4.3 - Prob. 20ECh. 4.3 - Prob. 21ECh. 4.3 - Prob. 22ECh. 4.3 - Prob. 23ECh. 4.3 - Prob. 24ECh. 4.3 - Prob. 25ECh. 4.3 - Prob. 26ECh. 4.3 - A store owner stocks an out-of-town newspaper that...Ch. 4.3 - Prob. 28ECh. 4.3 - Prob. 29ECh. 4.4 - Prob. 30ECh. 4.4 - Prob. 31ECh. 4.4 - Prob. 32ECh. 4.4 - Prob. 33ECh. 4.4 - Prob. 34ECh. 4.4 - Prob. 35ECh. 4.4 - Prob. 36ECh. 4.4 - Prob. 37ECh. 4.4 - Prob. 38ECh. 4.4 - Prob. 39ECh. 4.4 - Prob. 40ECh. 4.4 - Prob. 41ECh. 4.4 - Prob. 42ECh. 4.4 - Prob. 43ECh. 4.4 - Prob. 44ECh. 4.4 - Prob. 45ECh. 4.4 - Prob. 46ECh. 4.4 - Prob. 47ECh. 4.4 - Prob. 48ECh. 4.4 - A company receives large shipments of parts from...Ch. 4.5 - Prob. 50ECh. 4.5 - Prob. 51ECh. 4.5 - Prob. 52ECh. 4.5 - Prob. 53ECh. 4.5 - Prob. 54ECh. 4.5 - Prob. 55ECh. 4.5 - Prob. 56ECh. 4.5 - Prob. 57ECh. 4.5 - Prob. 58ECh. 4.5 - Prob. 59ECh. 4.5 - Prob. 60ECh. 4.5 - Prob. 61ECh. 4.5 - Prob. 62ECh. 4.6 - Compute the probability of 7 successes in a random...Ch. 4.6 - Compute the probability of 9 successes in a random...Ch. 4.6 - Compute the probability of 3 successes in a random...Ch. 4.6 - Compute the probability of 8 successes in a random...Ch. 4.6 - Prob. 67ECh. 4.6 - Prob. 68ECh. 4.6 - Prob. 69ECh. 4.6 - Prob. 70ECh. 4.7 - Prob. 71ECh. 4.7 - Prob. 72ECh. 4.7 - Prob. 73ECh. 4.7 - Prob. 74ECh. 4.7 - Prob. 75ECh. 4.7 - Prob. 76ECh. 4.7 - Prob. 77ECh. 4.7 - Prob. 78ECh. 4.7 - Prob. 79ECh. 4.7 - Prob. 80ECh. 4.7 - Prob. 81ECh. 4.7 - Prob. 82ECh. 4.7 - Prob. 83ECh. 4.7 - Prob. 84ECh. 4 - Prob. 85ECh. 4 - Prob. 86ECh. 4 - Prob. 87ECh. 4 - Prob. 88ECh. 4 - Prob. 89ECh. 4 - Prob. 90ECh. 4 - Prob. 91ECh. 4 - Prob. 92ECh. 4 - Prob. 93ECh. 4 - Prob. 94ECh. 4 - Prob. 95ECh. 4 - Prob. 96ECh. 4 - Prob. 97ECh. 4 - Prob. 98ECh. 4 - Prob. 99ECh. 4 - Prob. 100ECh. 4 - Consider a country that imports steel and exports...Ch. 4 - Prob. 102ECh. 4 - Prob. 103ECh. 4 - Prob. 104ECh. 4 - Prob. 105ECh. 4 - Prob. 106E
Knowledge Booster
Similar questions
- 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?arrow_forwardHalf of a set of the parts are manufactured by machine A and half by machine B. Five percent of all the parts are defective. Five percent of the parts manufactured on machine A are defective. Find the probability that a part was manufactured on machine A, given that the part is defective.arrow_forwardAn item is produced in large numbers. The machine is known to produce 5% defectives. A quality control inspector is examining the items by taking them at random. What is the probability that at least 4 items are to be examined in order to get 2 defectives?arrow_forward
- A statistics professor plans classes so carefully that the lengths of her classes are uniformly distributed between 49.0 and 59.0 minutes. Find the probability that a given class period runs between 50.75 and 51.0 minutes. Find the probability of selecting a class that runs between 50.75 and 51.0 minutes. (Round to three decimal places as needed.)arrow_forwardIndustry standards suggest that 12 percent of new vehicles require warranty service within the first year. University Toyota in Morgantown, WV sold 10 Toyotas yesterday. What is the probability that exactly one of these vehicles will require warranty service?arrow_forward5.100 Tossing a die. You are tossing a balanced die that has probability 1/6 of coming up 1 on each toss. Tosses are independent. We are interested in how long we must wait to get the first 1. (a) The probability of a 1 on the first toss is 1/6. What is the probability that the first toss is not a 1 and the second toss is a 1? (b) What is the probability that the first two tosses are not 1s and the third toss is a 1? This is the probability that the first 1 occurs on the third toss. 4 (c) Now you see the pattern. What is the probability that the first 1 occurs on the fourth toss? On the fifth toss?arrow_forward
- You work at a mechanic shop. On average, 10 cars come into your shop each day. Assuming a poisson distribution, what is the probability 4 cars come into the shop? Round to 4 decimal points.arrow_forwardThe closing price of Martin's Sporting Goods Inc. common stock is uniformly distributed between $25 and $36 per share. What is the probability that the stock price will be more than $32?arrow_forwardEric has a job at an electronics store in a mall. Eric doesn't like to work hard, and it costs him $100 to do so. Eric's employer cannot observe whether Eric works hard or not. If Eric works hard, there is a 75% probability that electronics goods profits will equal $400 a day and a 25% probability that electronics goods profits will equal $100 a day. If Eric shirks, there is a 75% probability that electronics goods profits will equal S100 a day and a 25% probability that electronics goods profits will equal $400 a day. Suppose Eric is paid $200 if electronics goods profits are $400 a day and $50 if electronics goods profits are S100 a day. Eric will because the net gain of from shirking is than the net gain of from working hard. O shirk; $87.50; more; $62.50 O shirk; $125; more; $118 O work hard; S50; less; $62.50 O work hard; $100; less; $250arrow_forward
- Suppose Eman has an 85% chance of passing each time he takes a quiz. What is the probability that he passes on the first three quizzes but not on the fourth?arrow_forwardUniversity degree requirements typically are different for Bachelor of Science degrees and Bachelor of Arts degrees. Some students get a Bachelor of Arts and Science degree, which requires meeting graduation criteria for both degrees. A student advisor needs to know the probability a newly admitted student is interested in such a program, so that the student can be properly advised. A study of previous years finds that the probability a student gets a Bachelor of Science degree is P(Science) = 0.3 and the probability a student gets a Bachelor of Arts degree is P(Arts) = 0.6. The study also shows that the probability a student gets no degree is P(no) = 0.2. Some probability calculations show the probability of getting a Bachelor of Arts and Science degree to be P(Arts & Science) = 0.1. Getting a Bachelor of Arts degree and getting a Bachelor of Science degree are not independent because: P(Arts & Science) = P(Arts) P(Arts & Science) = P(Arts) P(Science) P(Arts & Science) = P(Arts |…arrow_forwardThe owner of Tastee Cookies needs to decide whether to lease a small, medium, or large new retail outlet. She estimates that monthly profits will vary with demand for her cookies as follows: SIZE OFOUTLET DEMAND LOW HIGH Small $ 1,000 1,000 Medium 500 2,500 Large 0 3,000 For what range of probability that demand will be high, will she decide to lease the medium facility?arrow_forward
arrow_back_ios
SEE MORE QUESTIONS
arrow_forward_ios
Recommended textbooks for you
Managerial Economics: A Problem Solving ApproachEconomicsISBN:9781337106665Author:Luke M. Froeb, Brian T. McCann, Michael R. Ward, Mike ShorPublisher:Cengage Learning
Managerial Economics: A Problem Solving Approach
Economics
ISBN:9781337106665
Author:Luke M. Froeb, Brian T. McCann, Michael R. Ward, Mike Shor
Publisher:Cengage Learning