A sample of 275 shoppers at a large suburban mall were asked two questions: (1) Did you see a television ad for
the sale at department store X during the past 2 weeks? (2) Did you shop at department store X during the past
2 weeks? The responses to the questions are summarized in the table. What is the probability that a randomly
selected shopper from the 275 questioned did not shop at department store X?
Data is lacking.
What is the probability of the shoppers did not see the ad and did not shop at department store X?
To determine the probability that a randomly selected shopper from the 275 questioned did not shop at department store X, we need to use the information provided in the table. Unfortunately, the table you mentioned is missing from the question. Can you please provide the table or information on the number of shoppers who answered "No" to the question (2) "Did you shop at department store X during the past 2 weeks?"?
To find the probability that a randomly selected shopper from the 275 questioned did not shop at department store X, we need to use the information provided in the table.
Let's assume the following notation:
- P(A) represents the probability of seeing a television ad for the sale at department store X.
- P(B) represents the probability of shopping at department store X.
- n represents the total number of shoppers, which is 275.
From the table, we have the following information:
- 176 shoppers saw the television ad for the sale at department store X, so P(A) = 176/275.
- 132 shoppers shopped at department store X, so P(B) = 132/275.
To find the probability that a randomly selected shopper did not shop at department store X, we need to find P(not B).
Since every shopper either shopped or did not shop at department store X, we can use the complement rule to find P(not B).
P(not B) = 1 - P(B)
Substituting the values:
P(not B) = 1 - (132/275)
Calculating this expression will give you the probability that a randomly selected shopper from the 275 questioned did not shop at department store X.