In a marketing survey involving 1,000 randomly chosen people, it is found that 630 use brand P, 420 use brand Q, and 210 use both brands. How many people in the survey use brand P and not brand Q?

Question

In a marketing survey involving 1,000 randomly chosen people, it is found that 630 use brand P, 420 use brand Q, and 210 use both brands. How many people in the survey use brand P and not brand Q?

Answer choices:
210 people
420 people
630 people
none of these

Answer 1

x + 210 = 630

x = 420

Answer 2

A wrong .02 * .4 = .008

B wrong .03 * .4 = .012
C wrong .05 * .2 = .01
total wrong = .03

C wrong/total wrong = .01/.03 = .33

Answer 3

To determine how many people in the survey use brand P and not brand Q, we need to subtract the number of people who use both brands from the total number of people who use brand P.

Let's go step by step:

1. Start by identifying the total number of people who use brand P. According to the information provided, 630 people use brand P.

2. Next, we need to subtract the number of people who use both brands from this total. The survey states that 210 people use both brands.

3. Subtracting these two values will give us the number of people who use brand P but not brand Q: 630 - 210 = 420.

Therefore, the correct answer is 420 people.

Answer 4

(Weighing produce). A supermarket has three employees who package and weigh produce. Employee A records the correct weight 98% of the time. Employees B and C record the correct weight 97% and 95% of the time, respectively. Employees A, B, and C handle 40%, 40% and 20% of the packaging, respectively. A customer complains about the incorrect weight recorded on a package he has purchased. What is the probability that the package was weighed by employee C?