Solution please

1. A coin is tossed 3 times. Discrete random variable X is equal to the number of times Heads comes up. Discrete random variable Y has the value 1 if the first toss comes up heads and 0 otherwise. (a) Find Pr[(X=1)n(y=1)] Are X and Y independent random variables?

Sets and probability

I am having a hard time trying to understand an example problem in my math book. The problem goes: In how many ways can 3 white tiles, 2 blue tiles, and 2 red tiles be arranged in a single row?( I also need to assume that the tiles are identical except for color.)

Counting Principles; Furthering Probability logic

If there 5 defective bulbs in the batch of 50 bulbs, what is the probability that the sample will have 2 defective bulbs?

Conditional Probability; Independent Events

Off all the problems that I have come to understand I have found myself stuck on this one. Any solutions? Given P(A)=.5, P(B)=.3 and the P(AuB)=.7 find the following 1. P(A') 2. P(A| B') 3. P(AnB)

Set Operation

Need assistance with the following problem; Shade each of the following regions. a. A'UB b. (AUB)nC'

Applications of Venn Diagram

If n(U)=75, n(A)=40, n(AnB=15 and n(B')=40 find the following. 1. n(AUB)= 2. n(B)= 3. n(A'UB)=

Probability applications of counting principles

The sign "I LOVE MATHEMATICS" is put on the wall of the mathematics building at South Central Carolina Technical College. The letters start to fall off of the sign. Find the probability of each of the following events. 1.. The first letter that falls off is "M" . 2. The second letter that falls off is an "A" knowing tha ...continues

Linear Programming & the Simplex Methods

A small manufacturing plant produces three kinds of bicycles- three speed, five speeds, and ten speeds - in two factories. Factory A produces 16 three speeds, 12 five speeds, and 30 ten speeds in one day, while factory b produces 15 three speeds, 18 five speeds, and 20 ten speeds in one day. An order is received for 30 three sp ...continues

Linear Programming And Simplex Method

Consider the following linear programming problem: A coffee merchant sells two blends of coffee. Each pound of blend A contains 80% Mocha Java and 20% Jamaican and sells for $2.00 per pound. Each pound blend B contains 35% Mocha Java and 65% Jamaican and sells for $2.25 per pound. The merchant has available 1000 pounds of M ...continues

Linear Programming

A small manufacturing plant produces three kinds of bicycles- three speed, five speeds, and ten speeds - in two factories. Factory A produces 16 three speeds, 12 five speeds, and 30 ten speeds in one day, while factory b produces 15 three speeds, 18 five speeds, and 20 ten speeds in one day. An order is received for 30 three sp ...continues