A contractor is required by a county planning department to submit one, two, three, four, five, or six forms (depending on the nature of the project) in applying for a building permit. Let Y = the number of forms required of the next applicant. The probability that y forms are required is known to be proportional to y—that is, p(y) = ky for y = 1, , 6. (Enter your answers as fractions.)
(a) What is the value of k? [Hint: 6 y = 1 p(y) = 1] k =
(b) What is the probability that at most three forms are required?
(c) What is the probability that between two and five forms (inclusive) are required?
(d) Could p(y) = y2 90 for y = 1, , 6 be the pmf of Y? Correct: Your answer is correct. , because 6 y = 1 p(y) =
A contractor is required by a county planning department to submit one, two, three, four, five,...
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11. Building contractors are required by a county planning department to submit two, three, four, five, or six forms, depending on the nature of the project, when applying for a building permit. Let Y -number of forms required of the next applicant. The probability that y forms are required is known to be proportional to y. Thus, P(Y y) ky for y 2,3,4,5, 6 and k > 0. (a) Find the value of k so that...
Have to show work for every problem
4. A company uses three plants to produce a new computer chip. Plant A produces 30% of the chips. Plant B produces 45% of the chips. The rest of the chips are produced by plant C. Each plant has its own defectiv rate. These are: plant A produces 3% defective chips, plant B produces 1% defective chips, plant C produces 5% defective chips. Hint: draw a tree diagram. (a) Construct a tree diagram...
A large but sparsely populated county has two small hospitals, one at the south end of the county and the other at the north end. The south hospital's emergency room has four beds, whereas the north hospital's emergency room has only three beds. Let X denote the number of south beds occupied at a particular time on a given day, and let Y denote the number of north beds occupied at the same time on the same day. Suppose that...
only need help with bonus part
Part II: Problem 1 (20) A contractor must submit a bid proposal on one of three possible projects. Each project offers different profits and risks associated with wining the bid and actual profits from performing the work. For example, if the contractor submits a bid and wins, the predicted profit may range from high to low due to the uncertainty of site conditions (.e O, Good ,02-Fair, θ-Poor) The following table summarizes the costs...
Charles is answering a multiple-choice quiz question and has to choose one of five answers, only one of which is correct. The sample space is Ω-fall possible answers) Let: K be the event that he knows the correct answer and C be the event that he selects the correct answer Furthermore we will assume that if he knows the correct answer he will definitely select the correct answer. If he does not know the correct answer he will guess by...
You have five coins in your pocket. You know a priori that one coin gives heads with probability 0.4, and the other four coins give heads with probability 0.7 You pull out one of the five coins at random from your pocket (each coin has probability 릊 of being pulled out), and you want to find out which of the two types of coin it is. To that end, you flip the coin 6 times and record the results X1...
5. Three boxes are numbered 1, 2 and 3. For k 1, 2, 3, box k contains k blue marbles and 5 - k red marbles. In a two-step experiment, a box is selected and 2 marbles are drawn from it without replacement. If the probability of selecting box k is proportional to k, then the probability that two marbles drawn have different colours is 6. Two balls are.dropped in such a way that each ball is equally likely to...
please solve number one, two, and three
Assignment Submission For this assignment, you submit answers by question parts. The number of submissions remaining for each question part only changes if you submit or change the answer Assignment Scoring Your last submission is used for your score 1 - 18 points Homework 6 1. Given Y-C+1, C-A + bYd, 1 - 1o and Yd - YOT where A-100, - .6, lo - 40 and T-50 answer the following. a. Find the...
Between 1 76% 11:44 PM learn-us-east-1-prod-fleet01-xyth Done 1 of 3 Extra-Credit-Quiz Math 309 Summer 2019 This is your extra-credit quiz. If you wish to increase your quiz score you can work on these problems and email your sobutions by 11:59 PM, Friday, June 21. I will not accept it after that. So you have 24 hours to work on this. Please sign the statement below and email it akng with your solutions. I did not give or receive any help...
I need help with question 30d
16. y = 0 (that is, y(x) = 0 for all x, also written y(x) = 0) is a solution of (2) (not of (1) if (x) • o , called the trivial solution 17. The sum of a solution of (1) and a solution of (2) is a solution of (1). 18. The difference of two solutions of (1) is a solution of (2). 19. If yı is a solution of (1), what...