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Practice Exercise 1. A grade 11 student of Tabaco National High School surveyed the households in Tabaco City. The random variable X represents the number of high school students with gadgets to be used in online classes. The probability distribution of X is shown below. X 1 2 3 4 0 0.02 P(x) 0.18 0.30 0.40 0.10 Find the expected value and interpret the result.

Practice Exercise 1. A grade 11 student of Tabaco National High School surveyed the households in Tabaco City. The random variable X represents the number of high school students with gadgets to be used in online classes. The probability distribution of X is shown below. X 1 2 3 4 0 0.02 P(x) 0.18 0.30 0.40 0.10 Find the expected value and interpret the result.

College Algebra
College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
Chapter8: Sequences, Series,and Probability
Section: Chapter Questions
Problem 41CT: On a game show, a contestant is given the digits 3, 4, and 5 to arrange in the proper order to form...
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Practice Exercise 1. A grade 11 student of Tabaco National High School surveyed the households in Tabaco City. The random variable X represents the number of high school students with gadgets to be used in online classes. The probability distribution of X is shown below. 1 2 3 4 X P(x) 0 0.02 0.18 0.30 0.40 0.10 Find the expected value and interpret the result.
Transcribed Image Text:Practice Exercise 1. A grade 11 student of Tabaco National High School surveyed the households in Tabaco City. The random variable X represents the number of high school students with gadgets to be used in online classes. The probability distribution of X is shown below. 1 2 3 4 X P(x) 0 0.02 0.18 0.30 0.40 0.10 Find the expected value and interpret the result.
Example 1: A grade 11 ABM student conducts a survey to be presented in his Practical Research subject about the number of 4Ps grantees in his barangay. The random variable X represents the number of 4Ps grantees in his barangay. The probability distribution of X is shown below: 2 X P(x) 0 0.15 1 0.10 3 0.40 0.35 Find the mean or the expected value of X and interpret the result. Solution: a. In computing for the mean or expected value of X, we will represent our solution in a tabular form X xP(x) P(x) 0.15 0 0 1 0.10 2 0.35 0. 10 0.70 1. 20 3 0.40 xP(x) = 2 b. Interpret the result: The expected value is 2. So, the average number of 4Ps grantees in his barangay is two. Example 2: In a certain day, ALAY KAPWA canteen recorded the number of senior high school teachers buying and eating snacks during their vacant periods. The random variable X represents the number of senior high school teachers who buy and eat snacks during their vacant periods. The probability distribution of X is shown below: X 0 1 2 3 4 5 P(x) 0 0. 1 0.2 0.4 0.2 0. 1 Solution: a. In computing for the mean or expected value of X, we will represent our solution in a tabular form X xP(x) P(x) 0 0 0 1 0.1 0.1 2 0.2 0.4 3 0.4 1.2 4 0.2 0.8 5 0.1 0.5 ΣxP(x) = 3 b. Interpret the result: The expected value is 3. So, the average number of senior high school teachers who buy and eat snacks during their vacant periods is three.
Transcribed Image Text:Example 1: A grade 11 ABM student conducts a survey to be presented in his Practical Research subject about the number of 4Ps grantees in his barangay. The random variable X represents the number of 4Ps grantees in his barangay. The probability distribution of X is shown below: 2 X P(x) 0 0.15 1 0.10 3 0.40 0.35 Find the mean or the expected value of X and interpret the result. Solution: a. In computing for the mean or expected value of X, we will represent our solution in a tabular form X xP(x) P(x) 0.15 0 0 1 0.10 2 0.35 0. 10 0.70 1. 20 3 0.40 xP(x) = 2 b. Interpret the result: The expected value is 2. So, the average number of 4Ps grantees in his barangay is two. Example 2: In a certain day, ALAY KAPWA canteen recorded the number of senior high school teachers buying and eating snacks during their vacant periods. The random variable X represents the number of senior high school teachers who buy and eat snacks during their vacant periods. The probability distribution of X is shown below: X 0 1 2 3 4 5 P(x) 0 0. 1 0.2 0.4 0.2 0. 1 Solution: a. In computing for the mean or expected value of X, we will represent our solution in a tabular form X xP(x) P(x) 0 0 0 1 0.1 0.1 2 0.2 0.4 3 0.4 1.2 4 0.2 0.8 5 0.1 0.5 ΣxP(x) = 3 b. Interpret the result: The expected value is 3. So, the average number of senior high school teachers who buy and eat snacks during their vacant periods is three.
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