A sewing basket contains eight reels of cotton: four are green, three are red and one is

Question:

A sewing basket contains eight reels of cotton: four are green, three are red and one is yellow. Three reels of cotton are randomly selected from the basket.

a. Show that the expected number of yellow cotton reels is 0.375.

b. Find the expected number of red cotton reels.

c. Hence, state the expected number of green cotton reels.

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

Show that the expected number of points on the convex hull of a set of n points chosen uniformly and independently at random in the interior of a rectangle, R, is O(log n).
Listed below are heights (cm) randomly selected from the sample of women and heights (cm) randomly selected from the sample of men (from Data Set 1 "Body Data" in Appendix B). Use a 95% confidence...
Fifteen countries were randomly selected from the World Factbook 2009 list of world countries, and the estimated infant mortality per 1000 live births rate was recorded. a. Find the first and third...
When a manager greets department visitors or attends ceremonies, he or she is playing the role of: Figurehead Conceptual Empowerment Productivity
Express the quantity 965.33 kcal in joules.
What is sustainable sourcing, and how does it differ from ethical sourcing? From green purchasing?
Explain how a U.S. companys commitment to purchase inventory with settlement in foreign currency (FC) might become less attractive over time and how adverse effects on earnings could be reduced....
Dansyl chloride, which absorbs maximally at 330 nm and fluoresces maximally at 510 nm, can be used to label amino acids in fluorescence microscopy and FRET studies. Tabulated below is the variation...
A partial tabular summary for Blossom Company on March 31 of the current year includes the selected accounts below before adjusting entries have been prepared. Assets Liabilities Stockholders' Equity...
The Reading Enhancing Institute (REI), a center specializing in training those who will take certain standard tests (e.g., GRE), claims that their reading-skill training programs significantly...
The discrete random variable Y is such that Y {4, 5, 8,14,17} and P(Y = y) is directly proportional to 1/y + 1. Find P(Y > 4).
A fair 4-sided die, numbered 1, 2, 3 and 5, is rolled twice. The random variable X is the sum of the two numbers on which the die comes to rest. a. Show that P(X = 8) = 1/8. b. Draw up the...
USA Today reported that 40% of people surveyed planned to use accumulated loose change for paying bills. The margin of error was given as 3.1 percentage points. Identify the confidence interval that...
Assume you have been given $400,000 CAD with access to all listed stocks, bonds, futures, and options worldwide. You can trade in options and futures, in combination with the underlying asset....
Charlene wrote a letter to Rachel offering to sell her car, a Proton Saga, for RM 60,000. The letter reached Rachel on 25. 11.2020. Rachel sent her letter of acceptance at 3 p.m. on the same day....
Data for the risk premium sensitivities (b, s, and h) as well as the beta coefficient for the CAPM of two companies are listed in the following table: Company b s h ERP SMBP HMLP Beta Alpha 1.1114...
Free-Response Questions 1. m Initial position eviribrA ARAL m Incline raised to 0 <0max pr A block of mass m is initially at rest on a rough board, which is initially horizontal on a tabletop. The...
A picture frame sits atop a bookshelf. When the bookshelf is bumped, the frame tumbles to the floor, landing after 0.64 s. How tall is the bookshelf?
French energy giant GDF Suez recently issued a zero coupon bond. This bond issuance garnered attention because it was the first time in 14 years that a zero coupon bond had been issued in euros. The...
Diamond Walker sells homemade knit scarves for $25 each at local craft shows. Her contribution margin ratio is 60%. Currently, the craft show entrance fees cost Diamond $1,500 per year. The craft...
The variables x and y satisfy the differential equation that y = 2 when x = 1. Solve the differential equation and obtain an expression for y in terms of x in a form not involving logarithms. X dy =...
z = 5 + i3 is a root of a quadratic equation. Find this quadratic equation.
On a single Argand diagram, sketch the loci |z + 3 2i|= 4 and arg(z + 1)/4. Hence determine the value of z that satisfies both loci, giving your answer in Cartesian form.
nformation pertaining to Noskey Corporation s sales revenue follows: November 2 0 2 1 ( Actual ) December 2 0 2 1 ( Budgeted ) January 2 0 2 2 ( Budgeted ) Cash sales $ 1 0 5 , 0 0 0 $ 1 1 5 , 0 0 0...
The management team of Netflix maintains a stable dividend using the Lintner model: Dt+1 = Dt + EPS Target Payout Where Dt (Dt+1) = dividend in the current period t (the next period t + 1) EPSt =...
#1 #2 hapter 50 10 D Werences lav Help Required information [The following information applies to the questions displayed below) Archer Company is a wholesaler of custom-built air-conditioning units...

A sewing basket contains eight reels of cotton: four are green, three are red and one is

Question:

Step by Step Answer:

a The expected number of yellow cotton reels can be found by multiplying the probability of selectin...View the full answer

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

Students also viewed these Mathematics questions