What is the probability that a randomly selected individual is at least 55 years of age, given the individual ess likely to buy a product emphasized as "Made in our country"? e probability is approximately Dund to three decimal places as needed.)

What is the probability that a randomly selected individual is at least 55 years of age, given the individual ess likely to buy a product emphasized as "Made in our country"? e probability is approximately Dund to three decimal places as needed.)

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Question

In a recent poll, a random sample of adults in some country (18 years and older) was asked, "When you see an ad emphasizing that a product is 'Made in our country,' are you more likely to buy it, less likely to buy it, or neither more nor less likely to buy it?" The results of the survey, by age group, are presented in the following contingency table. Complete parts (a) through (c).

| **Purchase likelihood** | **18-34** | **35-44** | **45-54** | **55+** | **Total** |
|-------------------------|-----------|-----------|-----------|---------|-----------|
| **More likely** | 200 | 325 | 386 | 409 | 1320 |
| **Less likely** | 26 | 9 | 22 | 18 | 75 |
| **Neither more nor less likely** | 283 | 210 | 174 | 143 | 810 |
| **Total** | 509 | 544 | 582 | 570 | 2205 |

**(a)** What is the probability that a randomly selected individual is at least 55 years of age, given the individual is less likely to buy a product emphasized as "Made in our country"?

To calculate this probability, you look at the age group of individuals who are "less likely" to purchase the product (according to the total provided: 26 + 9 + 22 + 18 = 75). Specifically, focus on the individuals in the 55+ age group who are less likely, which is 18.

Probability = \( \frac{\text{Number of less likely individuals in age 55+}}{\text{Total number of less likely individuals}} \)

The probability is approximately \( \frac{18}{75} \).

(Round to three decimal places as needed.)

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(b) What is the probability that a randomly selected individual is less likely to buy a product emphasized as "Made in our country," given the individual is at least 55 years of age?

The probability is approximately [ ].
(Round to three decimal places as needed.)

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