Premium Essay


In: Business and Management

Submitted By samluo0918
Words 3495
Pages 14

PART 1 – Discrete and Continuous Random Variables

OBJECTIVE(S): • Students will learn how to use a probability distribution to answer questions about possible values of a random variable. • Students will learn how to calculate the mean and standard deviation of a discrete random variable. • Students will learn how to interpret the mean and standard deviation of a random variable.

Random Variable –

Probability Distribution -

Discrete Random Variable -

The probabilities of a probability distribution must satisfy two requirements:



Mean (expected value) of a discrete random variable

[pic]= E(X) =


1. In 2010, there were 1319 games played in the National Hockey League’s regular season. Imagine selecting one of these games at random and then randomly selecting one of the two teams that played in the game. Define the random variable X = number of goals scored by a randomly selected team in a randomly selected game. The table below gives the probability distribution of X:

Goals: 0 1 2 3 4 5 6 7 8 9

Probability: 0.061 0.154 0.228 0.229 0.173 0.094 0.041 0.015 0.004 0.001

a. Show that the probability distribution for X is legitimate.

b. Make a histogram of the probability distribution. Describe what you see.







0 1 2 3 4 5 6 7 8

c. What is the probability that the number of goals scored by a randomly selected team in a randomly selected game is at least 6?

d. Compute the mean of the random variable X and interpret this value in context.

NOTE: If the mean of a random variable has a non-integer value, but you report it as an...

Similar Documents

Premium Essay


...Define “unfairness” in Design profession. * Unfairness in Design profession is having a violation of the rights of others and having an unjust treatment. * Unfairness basically is against the rule of ethics. It destroys the artist’s reputation instantly. For example : TRADEMARK INFRINGEMENT (trademark is a word, name, symbol, or other device that used to prevent consumer confusion.) A beverage manufacturer could not adopt the mark “Koka – Kola”, because although this mark is spelled differently from famous “Coca – Cola” mark, it is still pronounced the same. Laws on Unfairness. * Design Law – The main purpose of design law is to protect the design element of industrial production and to promote innovative activity in the field of industries. (Confers upon the owner of a protected industrial design, the right to prevent third parties not having his consent from making, selling or importing articles bearing or embodying a design which is a copy, or substantially a copy, of the protected design when such acts are undertaken for commercial purposes. Overview of Design Law is design was once described as “intelligence made visible” (Le Corbusier). According the Registered Designs Act 1949 ‘design’ means the appearance of the whole or part of a product resulting from the features of, in particular, the lines, containers, colours, shape, texture and/or materials of the product itself and/or its......

Words: 659 - Pages: 3

Premium Essay


...APPLICATIONS OF COMPUTER A I D E D INSTRUCTION By C. Hendrickson, 1 A. M. ASCE, A. Pasquale, 2 W. Robinson, 3 and M. Rossi-Velasco 4 i ABSTRACT: Computer aided instruction (CAI) offers numerous advantages for education and training when properly designed and implemented. Recent computer developments in hardware and software enhance the effectiveness and reduce the cost of CAI. We review recent developments, using CAI programs designed and developed by the writers as examples. Experience with the use of CAI in a large general contracting and construction management firm is also reported. Our survey concludes that CAI can now be widely adopted for training and education supplements in civil engineering. INTRODUCTION In the past few decades, n u m e r o u s enthusiasts have predicted a revolution in education through the adoption of computer aided instruction (CAI). While the CAI revolution m a y still b e distant, some n e w developments make CAI a practical and extremely beneficial supplement for education a n d on-the-job training in civil engineering. For example: • Construction executives use a microcomputer-based business game to develop and test m a n a g e m e n t strategies as part of Stanford University's continuing education program (2). Each student is challenged to create a profitable contracting firm in the game, b u t the real payoff comes from n e w insights into techniques a n d strategies. • Employees at Mellon-Stuart Company, a large general......

Words: 3922 - Pages: 16

Premium Essay

Aaasd D Sdasdasd

...Nail It Then Scale It: Summary. The Nail It Then Scale It process is a systematic way to add value to, and organize an individual’s experience with innovation and entrepreneurship. The authors have identified the fallacies associated with the traditional entrepreneurship process which leads entrepreneurs down a dangerous path of trusting their assumptions without validating. The Nail It Then Scale It Process challenges this archaic, risky model. Each step of the process dares the innovator to “get out of the building,” to test assumptions and validate the value of these assumptions. Furr and Ahlstrom designed this process through analyzing the innovative pursuits of successful entrepreneurial individuals, and by observing the habits employed by these entrepreneurs. Nail It Then Scale It leads hopeful entrepreneurs through a 5 part process of nailing a pain, nailing a solution, nailing a go to market strategy, nailing a business model, and ultimately scaling successfully. The old, traditional entrepreneurial model The Nail It Then Scale It entrepreneurial model Nail the Customer Pain Nailing the pain is the initial step which works on validating “good ideas” through letting potential customers, field experts, and experiments determine whether people actually are looking to have their “pains” solved. Products are too often conceived as solutions Nail It Then Scale It: Summary. to pains that don’t actual affect more than the individual who has created the solution.......

Words: 657 - Pages: 3

Premium Essay


...Asd a das da dsa sda sda sda sd asdasdas asd as da dsa dasd wqwef ggdg dfg dgd fg df fg d dg dfg dfg dfg dfgd df gdfgd dmfns dfs dfsd smnf s,m sd nf,smfns, smnfsm,dnfs,m nsd ,sf,smn,sndf,smdnfs mns,md s,d fs fs s,nfs,mdf smdf s,mdsm s s sfsdfns,dfnsdfns , s s dd d d d d dd d dd d d d d d d d d d dfdferew rw er s fd s gh g h tr ye t ew r w eqw eqw eq r sd f fsdf s a d asdasd a sda sdas dasdas da sd asda sdasdasdasd as dasd as da sdas da sda sd asda sdasdasd a sda d as d asd as da sd asd a sd ad asda d a a sda sda sd a sda sd a d as da d s a sd asd as da sd a sdasd as da sd asd as da sd asd as da sd as das da sd asd as da sd asda da sssssssssssssssdasd asa sd asd asd as da sd as da sd asd a sda sd as da sd as da sd asd as d as da sd a sd as a sd a sd asd as da sd as da sd as da da sd as da sd asd a da d as da sd a w e qwe q we qwe qw eq we qw eq r e sd asda sd a d as da sd a s d as d a sd as dasd as da sdas dasd as da sd asdasd a sd asd asd asd asd ada da s da da s as da sd ad a d ad as a d as sa da d asda sd asd a sda...

Words: 310 - Pages: 2

Free Essay


...qweqweqweq we wq eq weqw eqwe q eq weqnw qweqwj kj k jkwjekqwk ejqwekjqwejqwk leqwjeqwjeqkwje kqwjekl jeklwjeqwjelkqjwelkqwjelk qwjkel jwlk ejqwkljelw jelkqw elqwjelqwkjeqlwjeqlwjel kjw lkj lkejwlejwqejwl kj lkj lj ekqwejqwlke qwlke qke wqkjewqkjewk ejqlkw jewqk jeqwkle qkwej qkwej qw ekjwqkeqkwjekqwjeqkwjeqkwjeqkwjeqkwjeqlkwje qlkjek j j kewqjeklwqjeqwkj j wq eqwjeqkj wej j eqwkeqjwkejqw ewqjeqwekqw kjekwjqelkqwejkwejk ek wekqwkjeqkjwejkqwekjqwekjqwkjewjej qjk kj ewqj j j jewqkje jeqkweqwkejqw ke kwj kje kwqjekwqjekwqjek qjk j kejwqklejqwlkeqwklejqwkle j ekwqejkqlwejqw j j ejwqklejwqejqwekjqwekqwjekqwjekjqweqjweklqwjeklwjeljqwekqwjekwqk jk ewlqkejqwkje kwqje kel qjwelkwjqekl jqwlekqwlejqwke jk j lkejwqkejqwje kjeqwkejq kl as dasdsa sdasdasd ad as das das das das das dqwueiu u iui uuii io u I uiuuiou I iui ui u oiu iou iu iu oi uio u iuio ui uiuiu io ui ui h j jh kh kj kj lkj lk jlk jkl jk lj klj kl yuyuiy uhoi as das da sd sd ad q e qw qw s ad ad q w d as d qwd dsa d wd qd as ds dq we qe da sd asd asd qw eqw eq sd as ds dad qwe qw e d as d q sad asd asd asd as das da sd qwe wq eqw r qwe wqe r e rwr er e r sd asd sad as das da sd asd asd sa das das d qe qw eqw eqw sa das das d xc z c zcz xcz x as da sd qwe q eq w asd as da sda sd asd asd as das das dsa eqwe qwr fd fsd fsd f q w q ew da sda da sd...

Words: 286 - Pages: 2