Q3- A discrete source generates five symbols with the followingprobabilities.Symbol S has probability P(S) = 0.27Symbol T has probability P(T) = 0.25Symbol U has probability P(U) = 0.22Symbol V has probability P(V) = 0.17Symbol W has probability P(W) = 0.09Use Huffman encoding algorithm to calculate Efficiency.

Given that, a discrete source generates five symbols with the following probabilities. Symbol S has…

Answered: Q3- A discrete source generates five…

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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NASA estimates that the probability that a certain component in a communication satellite fails is .016. There is an independent backup system, and the probability that it fails in .01. What is the probability that both systems fail? (Model this with a tree diagram.)
OBABILITY SM025 Every year two teams, Unggul and Bestari meet each other in a debate competition. Past results show that in years when Unggul win, the probability of them winning the next year is 0.6 and in years when Bestari win, the probability of them winning the next year is 0.5. It is not possible for the competition to result in a tie. Unggul won the competition in 2011. a) Construct a probability tree diagram for three years up to 2014. b) Find the probability that Bestari will win in 2014. If Bestari wins in 2014, find the probability that it will be their first win for at c) least three years. d) Assuming that Bestari wins in 2014, find the smallest value of n such that the probability of Unggul wins the debate competition for n consecutive years after 2014 is less than 0.05.
of 16 Suppose a high school gymnasium bag contains volleyballs, basketballs, and soccer balls. During physical education class, the coach randomly selects a ball 0.45 0.37 from the bag. The ball the coach selects determines what sport the students play that day. If she selects a volleyball, the students play volleyball that day, and so 0.45 0.18 on. The tree diagram shows the possible outcomes with their probabilities for two consecutive physical education classes. Determine the probability that the students will play volleyball two days in a row. Give your answer as a decimal precise to two decimal places. 0.45 0.37 0.37 0.18 0.18 0.45 0.37 0,18
8 A rook is placed at the bottom left corner, at each step of this game the rook can either go one square up or one square right, but not left the 10*5 board. Assume there is one obstacle on the board (stay still). How many different paths are there for the rook to take from the bottom left corner to the top right corner? And if the rook meets the obstacle then the game ends early, what is the probability the rook survives?
2 coins are tossed together. Then the probability of getting exactly 2 tails using a tree diagram is 0.2500 0.0400 O 0.1600 O 0.0100 0.0900
Find the efficiency of the source that emits the following symbols A, B, C, D, E, F, G their corresponding probabilities and codes are 0.3, 0.15, 0.2, 0.1, PE, PF, 0.07 and 11, 101, 01, 001, 0000, 10O, 0001, respectively. * 1 Add file
Look at the 4 probability rules beow , an provide a REAL LIFE example for each. Also, with a Real LIfe EXAMPLE, explain how Disjoint events CAN be dependent. Rule 1. The probability P(A) of any event A satisfies 0 ≤ P(A) ≤ 1. Rule 2. If S is the sample space in a probability model, then P(S) = 1. Rule 3. Two events A and B are disjoint if they have no outcomes in common and so can never occur together. If A and B are disjoint, P(A or B) = P(A) + P(B) This is the addition rule for disjoint events. Rule 4. For any event A, P(A does not occur) = 1 − P(A)
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Probability and statistics. Please be very fast
Solve question #5
A gambler belives that he has learned to predict the color of a card befroe it is drawn from the deck. In order to test this, he predicts a color, draws a card from a fresh deck of 52 cards and observes its color, replaces the card, and then shuffles.He repeats this process 10 times, and finds that he got 5 predictions incorrect.Using a sign test, test the hypothesis that the gambler is getting fewer predictions inccorect than one would expect due to chance.Critical Value = ?

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