Question

Age   Yes   No   Total
<20   0.22   0.05   0.27
20-40   0.23   0.12   0.35
>40   0.13   0.25   0.38
Total   0.58   0.42   1.00

A department store is developing a new advertising campaign for their new location in a different​ region, and their marketing managers need to understand their target market better. A survey of adult shoppers found the probabilities that an adult would shop at their new store classified by age is shown in the contingency table. Complete parts a through d.

​a) What is the probability that a survey respondent will shop at the new​ store?

The probability is ____.

​(Type an integer or a decimal. Do not​ round.)

​b) What is the probability that a survey respondent will shop at the store given that they are younger than 20 years​ old?

The probability is _____.

​(Round to two decimal places as​ needed.)

​c) What is the probability that a survey respondent who is older than 40 shops at the​ store?

The probability is ____.

​(Round to two decimal places as​ needed.)

​d) What is the probability that a survey respondent is younger than 20 or will shop at the​ store?

The probability is ____.

​(Round to two decimal places as​ needed.)

Answer 1

Advanced Math (a) The probability that a survey respondent will shop at the new stue is 0:58 1.00 58 (OD SO The probability 0.58 0 The probability that a Survey respondent will shop at the store given that they are younger than 20 years old Es 0.22 92 27 0.81 0.27 The probability 22- 2+ - 0811 The probability that a Survey respondent who in older than do, Shops at the store is 0.13 13 38 0.38 The probability 13 28 20:34 2 decimals = 0.34 probability rounded to

is han Let younger a survey respondent an event 'A' 20 And a survey respondent will shops at the event Store be an The survey respondent probability that a is younger than PCA) egy 20 The probability that a shops at the stove Curvey respondent - PCB) = 58 - 0.58 100 the 0:27 The probability that a Survey respondent is younger than 20 and will shops at Store - PCAB) = 0:22 - 22 - 0.81 27 OPCA and B) Now, The probability that a survey respondent is younger than 20 or will shop at the Store = P(AUB) = P(A or B) = P(A) +PCB) - PCANB) 0.33 + 0.58 0.81 probability = 0.10