3. The area of lots in an exclusive subdivision 4. The number of recovered patients of COVID-19 per province 5. The number of students with Academic Excellence in a school per district C. Determine the values of the random variables in each of the following distributions. 1. Two coins are tossed. Let H be the number of tails that occur. Determine the values of the random variable H. 2. A meeting of envoys was attended by 4 Koreans and 2 Filipinos. If three envoys were selected at random one after the other, determine the values of the random variable K representing the number of Koreans. D. Construct the probability distribution of the situation below: Two balls are drawn in succession without replacement from an urn containing 5 white balls and 6 black balls. Let B be the random variable representing the number of black balls. Construct the probability distribution of the random variable B. Additional Activities Grace Ann wants to determine if the formula below describes a probability distribution. Solve the following: P(X) = X+1 6 where X = 0, 1, 2. If it is, find the following: 1. P(X = 2) 2. P(X ≥ 1) 3. P(X ≤ 1) 24

3. The area of lots in an exclusive subdivision 4. The number of recovered patients of COVID-19 per province 5. The number of students with Academic Excellence in a school per district C. Determine the values of the random variables in each of the following distributions. 1. Two coins are tossed. Let H be the number of tails that occur. Determine the values of the random variable H. 2. A meeting of envoys was attended by 4 Koreans and 2 Filipinos. If three envoys were selected at random one after the other, determine the values of the random variable K representing the number of Koreans. D. Construct the probability distribution of the situation below: Two balls are drawn in succession without replacement from an urn containing 5 white balls and 6 black balls. Let B be the random variable representing the number of black balls. Construct the probability distribution of the random variable B. Additional Activities Grace Ann wants to determine if the formula below describes a probability distribution. Solve the following: P(X) = X+1 6 where X = 0, 1, 2. If it is, find the following: 1. P(X = 2) 2. P(X ≥ 1) 3. P(X ≤ 1) 24

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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A genetics experiment involves a population of fruit flies consisting of 2 males named Bart and Christopher and 2 females named Debbie and Elena. Assume that two fruit flies are randomly selected with replacement. ... a. After listing the possible samples and finding the proportion of females in each sample, use a table to describe the sampling distribution of the proportion of females. Proportion of females Probability 0 0.5 1 (Type integers or fractions.) b. Find the mean of the sampling distribution. μ= (Round to two decimal places as needed.) c. Is the mean of the sampling distribution [from part (b)] equal to the population proportion of females? If so, does the mean of the sampling distribution of proportions always equal the population proportion? OA. No, the sample mean is equal to the population proportion of females. These values are not always equal, because proportion is a biased estimator. OB. Yes, the sample mean is equal to the population proportion of females. These…
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