A fair 4-sided die, numbered 1, 2, 3 and 5, is rolled twice. The random variable X

Question:

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 probability distribution table for X, and find P(X > 6).

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

The probability distribution for the random variable x follows. x f(x) 20 ..........20 25 ..........15 30 ..........25 35 ..........40 a. Is this probability distribution valid? Explain. b. What is...
The random variable X has probability distribution Pr(X = 0) = 0.4 and Pr(X = 1) = 0.6. The random variable Y has probability distribution Pr(Y = 1) = 0.2 and Pr(Y = 3) = 0.8. Find the distribution...
The random variable X has probability distribution Pr(X = 0) = 0.8 and Pr(X = 1) = 0.2. The random variable Y has probability distribution Pr(Y = 1) = 0.3, Pr(Y = 2) = 0.5, and Pr(Y = 3) = 0.2. Find...
Your restaurant has five menu choices for lunch. How many ways can you order them on your menu? A 0.0749 B 0.0747 120
Express the quantity 55.69 cal in joules.
Calgary Corporation produces a liquid solvent in two departments: Mixing and Finishing. Assume that Calgary Corporation provides you with the following information for finishing operations for...
Florida Tile produces ceramic tiles using two sequential production departments: Tile-Forming and Tile-Finishing. The following information was found for Florida Tiles first production process, the...
Becky Knauer recently resigned from her position as controller for Shamalay Automotive, a small, struggling foreign car dealer in Upper Saddle River, New Jersey. Becky has just started a new job as...
1. Consider two satellites S and S with periods of revolution 1hr. and 8 hr. respectively revolving around a planet in circular orbits. The ratio of angular velocity of satellite S to the angular...
A furnace heat exchanger has a cross section like that shown in Fig. 9.28. The air flows around the three thin passages in which hot gases flow. The air is at 140°F and has a density of 2.06...
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...
Set A consists of the ten digits 0, 0, 0, 0, 0, 0, 2, 2, 2, 4. Set B consists of the seven digits 0, 0, 0, 0, 2, 2, 2. One digit is chosen at random from each set. The random variable X is defined as...
It is _____________ for an interviewer to ask an interviewee questions relating to race, color, religion, sex, national origin, disability, or age.
One way to analyze the effect of inflation is to project cash flows in ________________ and use a discount rate that includes a premium for inflation. Group of answer choices Nominal values Current...
The manager at Home Manufacturing Center needs to compute the effect of cash operating flows on the net income tax after the investment of a new home repair and design machine. The operating cost...
69. Newton's law of gravitational attraction states that if two bodies are at a distance r apart, then the force F exerted by one body on the other is given by F(r) = k p2 where k is a positive...
The situation at Drive Write creates a serious ethical dilemma. (The Drive Write example is based on a real company called MiniScribe Corporation, subsequently purchased by a competitor.) Companies...
discuss 3 areas of concern and how these can affect accredition and or financial status
How could their mass spectra distinguish the following compounds? CH,CH,CCH,CHs Ir CH3
Fill in each blank so that the resulting statement is true. 83 + 103 = ______ .
The complex number z is defined by Find, showing all your working. i. An expression for z in the form re i , where r > 0 and < < , ii. The two square roots of z, giving your answers in the form e i...
Given that z = 3i is a root, solve z 4 2z 3 + 14z 2 18z + 45 = 0.
Find the complex number z satisfying the equation z + 4 = 3iz*. Give your answer in the form x + iy, where x and y are real.
(d) Suppose that the Program Counter, register R15, contained the hex value 0x1000. From what address would a Cortex-M3 fetch an instruction. Assume that all instructions are 32-bit wide. (3 marks)...
what ways do team reflexivity and metacognition facilitate adaptive learning processes within teams, enabling them to monitor performance, identify areas for improvement, and adjust their strategies...
If S2 is the root bridge, mark DP, RP and AP in the given exhibit. Draw the spanning tree also. Fa0/1 $1 Fa0/2 Fa0/1 Fa0/1 Fa0/3 Fa0/3 52 Fa0/2 Fa0/2 S4 Fa0/2 53

A fair 4-sided die, numbered 1, 2, 3 and 5, is rolled twice. The random variable X

Question:

Step by Step Answer:

a There are four possible outcomes for each roll of the ...View the full answer

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

Students also viewed these Mathematics questions