A fair triangular spinner has sides labelled 0,1 and 2, and another fair triangular spinner has sides

Question:

A fair triangular spinner has sides labelled 0,1 and 2, and another fair triangular spinner has sides labelled –1, 0 and 1. The score, X, is equal to the sum of the squares of the two numbers on which the spinners come to rest.

a. List the five possible values of X.

b. Draw up the probability distribution table for X.

c. Given that X < 4, find the probability that a score of 1 is obtained with at least one of the spinners.

d Find the exact value of a, such that the standard deviation of X is 1/a × E(X).

Fantastic news! We've Found the answer you've been seeking!

Step by Step Answer:

Related Book For book-img-for-question

Cambridge International AS & A Level Mathematics Probability & Statistics 1 Coursebook

ISBN: 9781108407304

1st Edition

Authors: Dean Chalmers, Julian Gilbey

See More Books

Question Posted: Sep 13, 2021 03:07 AM

See More Questions

One hundred randomly selected U.S. parents with at least one child under the age of 18 are surveyed and asked if they have ever spanked their child. The number of parents who have spanked their child...
The class breaks into small groups with at least one international student in each group, if possible. Based on overseas travel, each group reports on observations of waiting behavior from a cultural...
National savings is equal to the sum of private savings and public savings. To make our notation a bit easier, we will call national savings S, private savings V, and public savings U. So in other...
Based on the illustration of an iPhone shown below, draw a system model for an iPhone. iPhone Components Flash memory. CPU Main circuit boards Communications GSM cell, WiFi, EDGE Battery Display...
Gold has a specific heat of 0.129 J/g(C. If 1,377 J are needed to increase the temperature of a sample of gold by 99.9(C, what is the mass of the gold?
Construct a flow diagram of the registration process at your university. What areas would you investigate further to identify problems?
8. What accounting and reporting methods are used by investor-venturers in accounting for their joint venture investments? E x E R c I S E S
The steady-state distribution of temperature on a heated plate can be modeled by the Laplace equation, 0 = ? 2 T/?x 2 + ? 2 T/?y 2 If the plate is represented by a series of nodes (Figure), centered...
Using the information in Table MA.4, advise the marketing director on whether it would be more beneficial to make fruit and nut bars rather than buy them in from another company for 1.70 per bar....
A wastewater stream of 600 gpm, containing 10 ppm (by weight) of benzene, is to be stripped with air in a packed column operating at 25oC and 2 atm to produce water containing 0.005 ppm of benzene....
A pack of five DVDs contains three movies and two documentaries. Three DVDs are selected and the following table shows the probability distribution for M, the number of movies selected. Draw up the...
The possible outcomes from a business venture are graded from 5 to 1, as shown in the following table. a. Calculate the expected grade and use it to describe the expected outcome of the venture. Find...
Using EDGAR (Electronic Data Gathering, Analysis, and Retrieval system), find the annual report (10-K) for Target Corporation for the year ended February 1, 2020. Locate the Consolidated Statements...
Question: Divide.21r7-35r37r3r8-5r43r7-5r33r6-5r221r6-35r2 Divide. 2 1 r7 - 3 5 r3 7r 3r 8 - 5 r4 3 r7 - 5 r3 3 r6 - 5 r2 2 1 r6 - 3 5 r2 Divide. 21r7 - 35r 7r 38-54 3r7-53 3r6-52 216-3512
System of Equations: Value of a Value of b 9 a + 3 b = 3 0 8 a + 4 b = 2 8
An important practice is to check the validity of any data set that you analyze. One goal is to detect typos in the data, and another would be to detect faulty measurements. Recall that outliers are...
ve The re e Problem 3 Complete the following perpetual inventory form. Perpetual Inventory Total Product Name: Purchase Unit Size: Carried Forward: Date In Out 1/7 3 Balance 1/9 1/10 1/12 1/15 2 1 5...
the above date, Saloni was admitted in the partnership firm. Raman surrendered th 5 2 of his share and Rohit surrendered th 5 1 of his share in favour of Saloni. It was agreed that : (i) Plant and...
When a company signs a finance lease, does it record an asset and a liability on its balance sheet?
The area of a rectangle is 30 cm 2 and its perimeter is 26 cm. Find the length and width of the rectangle.
The point P( p, q, 1) lies on the line L with vector equation r = i j + 2k + (i + 8j + k). a. Find the value of each of the constants p and q. b. The position vector of Q, relative to the origin O...
Find the value of x and the value of y. a. (x + 2y) + i(3x y) = 1 + 10i b. (x + y 4) + 2xi = (5 y)i c. (x y) + (2x y)i = 1
a. Given that z 1 = i is a root of the equation z 3 + z 2 + z + k = 0, find the value of the constant k. b. Write down the other complex root of the equation and find the third root, stating whether...
An estimated 84 percent of enterprises now use cloud computing solutions involving multiple clouds, whereas less than 10 percent of large organizations employ just a single public cloud. Group of...
XYZ inc. was involved in a tax dispute with the national tax authority. The companys legal counsel estimates that there is a 75% likelihood that the company will lose the dispute and that the amount...
3 . Accounting.. How does depreciation impact financial statements, and what are the different methods of depreciation?

A fair triangular spinner has sides labelled 0,1 and 2, and another fair triangular spinner has sides

Question:

Step by Step Answer:

a The possible values of X are 0 1 2 3 and 4 b The ...View the full answer

Cambridge International AS & A Level Mathematics Probability & Statistics 1 Coursebook

Students also viewed these Mathematics questions