Please help me with this I’m confused, please show the step how u get the answer so I can understand it. Thanks! (a) Use the technique shown in Example 9.1.4 to find the number of positive three-digit integers that are multiples of 6.The smallest positive three-digit integer that is a multiple of 6 is 6 ·The largest positive three-digit integer that is a multiple of 6 is 6 ·Therefore, the number of three-digit integers that are multiples of 6 is(b) What is the probability that a randomly chosen positive three-digit integer is a multiple of 6?(c) What is the probability that a randomly chosen positive three-digit integer is a multiple of 7? Example 9.1.4Counting the Elements of a Sublista. How many three-digit integers (integers from 100 to 999 inclusive) are divisible by 5?b. What is the probability that a randomly chosen three-digit integer is divisible by 5?Solutiona. Imagine writing the three-digit integers in a row, noting those that are multiples of 5and drawing arrows between each such integer and its corresponding multiple of 5.100 101 102 103 104 105106107 108 109 110994 995 996 997998 9995-205-215.225.199From the sketch it is clear that there are as many three-digit integers that are mul-tiples of 5 as there are integers from 20 to 199 inclusive. By Theorem 9.1.1, there are199 - 20+ 1, or 180, such integers. Hence there are 180 three-digit integers that aredivisible by 5.andb. By Theorem 9.1.1 the total number of integers from 100 through 999 is 999 – 100+1 =900. By part (a), 180 of these are divisible by 5. Hence the probability that a randomlychosen three-digit integer is divisible by 5 is 180/900 = 1/5.

All the parts are solved using the model solution provided.

(a) Use the technique shown in Example 9.1.4 to find the number of positive three-digit integers that are multiples of 6. The smallest positive three-digit integer that is a multiple of 6 is 6 - The largest positive three-digit integer that is a multiple of 6 is 6. Therefore, the number of three-digit integers that are multiples of 6 is (b) What is the probability that a randomly chosen positive three-digit integer is a multiple of 6? (c) What is the probability that a randomly chosen positive three-digit integer is a multiple of 7?

(a) Use the technique shown in Example 9.1.4 to find the number of positive three-digit integers that are multiples of 6. The smallest positive three-digit integer that is a multiple of 6 is 6 - The largest positive three-digit integer that is a multiple of 6 is 6. Therefore, the number of three-digit integers that are multiples of 6 is (b) What is the probability that a randomly chosen positive three-digit integer is a multiple of 6? (c) What is the probability that a randomly chosen positive three-digit integer is a multiple of 7?

Operations Research : Applications and Algorithms

4th Edition

ISBN:9780534380588

Author:Wayne L. Winston

Publisher:Wayne L. Winston

Chapter12: Review Of Calculus And Probability

Section12.5: Random Variables, Mean, Variance, And Covariance

Problem 5P

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