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
Q: QUESTION 18 Use the table for binomial probabilities to solve: n: 2, x: 2, p: 0.50 n:7, x 3, p: 0.10
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- QUESTION 23 There are seven blue and six black socks in a drawer. One is pulled out at random. Find the probability that it is black. A. 1/6 B. 6/7 C. 6/13 OD. 1/250 moodle.unizwa.edu.om A coin is tossed four times. The probability of getting more than one tail is OA. 5/8 Ов. 11/16 OC. 5/16* OD. 3/8 E. None of these The probability of getting minimum three heads is Оа. 1/4 b.3/4x Ос. 5/16 Od. 3/8 OE. None of thesewe assume there is three broken objects in a totalt of 25. A selection of 7 is picked randomly without putting back. Let B be the number of broken objects in your selection. Find the expectation and variance to B
- 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…7From 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,
- A con is rosbed. If the result is a head, it is to ssed two more times, the mose it is hosbed one more home. what is the mean number of heads obtaimed THW OF E FQuestion 17 A dice is biased so that the probability of throwing a 5 is 0.75 and the probabilities of throwing a 1, 2,3, 4, or 6 are all equal. a) The dice are thrown three times. Find the probability that the result is a 1 followed by a 5 followed by any even number. b) Find the probability that, out of 10 throws of this dice, at least 8 throws result in a 5. c) The dice is thrown 90 times. Using an appropriate approximation, find the probability that a 5 is thrown more than 60 times.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
