The sales for each of 200 salespeople were recorded one month. Then some of the salespeople took a sales training seminar and the rest did not. The next month's results are reported in the following two-way frequency table. Increased sales 63 39 Seminar No Seminar No increase 21 77 A salesperson is chosen at random from this group. Complete the following. Write your answers as decimals. (If necessary, consult a list of formulas.) (a) Find the probability that the salesperson increased sales. P(increased sales) = (b) Find the probability that the salesperson increased sales, given that she took the seminar. P(increased sales | seminar) = (c) Is there evidence that a salesperson who takes the seminar is more likely to increase sales than a randomly chosen salesperson from the group? OYes, because the probability found in part (b) is much greater than the probability found in part (a). O No, because the probability found in part (b) is much greater than the probability found in part (a). OYes, because the probability found in part (a) is much greater than the probability found in part (b). O No, because the probability found in part (a) is much greater than the probability found in part (b). OYes, because the probability found in part (b) is about the same as the probability found in part (a). O No, because the probability found in part (b) is about the same as the probability found in part (a).
The sales for each of 200 salespeople were recorded one month. Then some of the salespeople took a sales training seminar and the rest did not. The next month's results are reported in the following two-way frequency table. Increased sales 63 39 Seminar No Seminar No increase 21 77 A salesperson is chosen at random from this group. Complete the following. Write your answers as decimals. (If necessary, consult a list of formulas.) (a) Find the probability that the salesperson increased sales. P(increased sales) = (b) Find the probability that the salesperson increased sales, given that she took the seminar. P(increased sales | seminar) = (c) Is there evidence that a salesperson who takes the seminar is more likely to increase sales than a randomly chosen salesperson from the group? OYes, because the probability found in part (b) is much greater than the probability found in part (a). O No, because the probability found in part (b) is much greater than the probability found in part (a). OYes, because the probability found in part (a) is much greater than the probability found in part (b). O No, because the probability found in part (a) is much greater than the probability found in part (b). OYes, because the probability found in part (b) is about the same as the probability found in part (a). O No, because the probability found in part (b) is about the same as the probability found in part (a).
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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Transcribed Image Text:The sales for each of 200 salespeople were recorded one month.
Then some of the salespeople took a sales training seminar and the rest did not.
The next month's results are reported in the following two-way frequency table.
Increased sales
63
39
Seminar
No Seminar
No increase
21
77
A salesperson is chosen at random from this group.
Complete the following. Write your answers as decimals.
(If necessary, consult a list of formulas.)
(a) Find the probability that the salesperson increased sales.
P(increased sales) =
(b) Find the probability that the salesperson increased sales, given that she took the seminar.
P(increased sales | seminar) =
(c) Is there evidence that a salesperson who takes the seminar is more likely to increase sales than a randomly chosen
salesperson from the group?
Yes, because the probability found in part (b) is much greater than the probability found in part (a).
O No, because the probability found in part (b) much greater than the probability found in part (a).
Yes, because the probability found in part (a) is much greater than the probability found in part (b).
O No, because the probability found in part (a) is much greater than the probability found in part (b).
Yes, because the probability found in part (b) is about the same as the probability found in part (a).
No, because the probability found in part (b) is about the same as the probability found in part (a).
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