5. Consider the following table where two binary codes are given for a source 5 with foursymbols Si and corresponding probabilities pi.Symbol Sis1s2s3s4Probability pi0.50.250.1250.125Code 100010011Code 2010110111

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Answered: 5. Consider the following table where…

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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Questions 1. The Jones family was one of the first to come to the U.S. They had 5 children. Assuming that the probability of a child being a girl is .5, find the probability that the Jones family had:at least 3 girls? at most 3 girls? 2. A high school baseball player has a 0.168 batting average. In one game, he gets 7 at bats. What is the probability he will get at least 2 hits in the game?3. The correct size of a nickel is 21.21 millimeters. Based on that, the data can be summarized into the following table: Too Small Too Large Total Low Income 12 28 40 High Income 25 10 35 Total 37 38 75 Based on this data: (give your answers to parts a-c as fractions, or decimals to at least 3 decimal places. Give your to part d as a whole number.)a) The proportion of all children that drew the nickel too small is: Assume that this proportion is true for ALL children (e.g. that this proportion applies to any group of children), and that the remainder of the questions in this…
7
From the Venn diagram we can say that: Select one: a. The probability that at least one is fulfilled is .32 b. The probability that at least one is fulfilled is 0.97 c. The probability that only one is fulfilled is 0.31 d. The probability that only one is fulfilled is 0.97
Questions 6 -8 use the following definitions for events: A = A die is rolled and shows an even number B = A die is rolled and shows a 4, 5, or 6 C= A die is rolled and shows a 1 D= A coin is flipped and shows Heads State the following expressions in words and calculate the probabilities: 5. Р(AND) 6. Р(BJA) With the same event definitions given above, state the following as a probability expression using symbols such as P(B U C) and calculate the probability. 7. The probability that the number on a die is a four given that the roll was even. 8. Using only the events above, find the probability that the die is rolled and shows a 2 or 3.
The number of hours per week that the television is turned on is determined for each family in a sample. The mean of the data is 31 hours and the median is 27.2hours. Twenty-four of the families in the sample turned on the television for 16 hours or less for the week. The 8th percentile of the data is 16 hours. Based on the given information, determine if the following statement is true or false. The first quartile is less than 16 hours.
QUESTION 5 A poker player pick five cards randomly, and he gets heart 6, club 7, diamond 8, heart 9, and spade Q. He pick one more card. The probability that he can get a straight (at least 5 cards) (like, 5,6,7,8,9; or, 6,7,8,9,10) is: 0.167 O-0.154 0.038 0.170,
9 Open on a Jan Set background Clear frame 6. The figure below is a contingency table showing the counts of earned degrees from several colleges. The level of degree and gender of the degree recipient were tracked - use this table to answer the following questions: Bachelor's Master's Professional Doctorate hotal Female 542 128 26 18 714 Male 438 165 38 20 661 Total 980 293 64 38 1375 (a) What is the probability that a randomly chosen person received a Bachelor's Degree?e (b) What is the probability that a randomly chosen person received a Master's Degree given that they are Female-- P(Masters| Female)? EXTD I 12:1

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5. Consider the following table where two binary codes are given for a source 5 with four symbols Si and corresponding probabilities pi. Symbol Si s1 s2 s3 s4 Probability pi 0.5 0.25 0.125 0.125 Code 1 00 01 00 11 Code 2 0 10 110 111