A salesperson makes four calls per day. A sample of 100 days gives the following frequencies of sales volumes. Number of Sales X 0 1 2 0 3 1 4 2 3 4 Total Records show sales are made to 30% of all sales calls. Assuming Independent sales calls, the number of sales per day should follow a binomial probability distribution. The binomial probability function presented in Chapter 5 is nl Expected Frequencies x!(n-x)*(1-p)n-x, For this exercise, assume that the population has a binomial probability distribution with n= 4, p = 0.30, and x = 0, 1, 2, 3, and 4. (a) Compute the expected frequencies for x = 0, 1, 2, 3, and 4 by using the binomial probability function. 0.2401 0.2646 Observed Frequency 0.0708 (days) x 32 33 26 6 3 100

Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter11: Data Analysis And Probability
Section: Chapter Questions
Problem 8CR
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Question
A salesperson makes four calls per day. A sample of 100 days gives the following frequencies of sales volumes.
Number of Sales
f(x) =
X
0
1
2
0
3
1
4
2
3
4
Total
Records show sales are made to 30% of all sales calls. Assuming independent sales calls, the number of sales per day should follow a binomial probability distribution. The binomial probability function
presented in Chapter 5 is
n!
x!(n - x)!
For this exercise, assume that the population has a binomial probability distribution with n = 4, p = 0.30, and x = 0, 1, 2, 3, and 4.
(a) Compute the expected frequencies for x = 0, 1, 2, 3, and 4 by using the binomial probability function.
Expected
Frequencies
0.2401
0.2646
Observed Frequency
0.0708
(days)
p*(1-P)^-x.
X
32
33
26
6
3
100
Transcribed Image Text:A salesperson makes four calls per day. A sample of 100 days gives the following frequencies of sales volumes. Number of Sales f(x) = X 0 1 2 0 3 1 4 2 3 4 Total Records show sales are made to 30% of all sales calls. Assuming independent sales calls, the number of sales per day should follow a binomial probability distribution. The binomial probability function presented in Chapter 5 is n! x!(n - x)! For this exercise, assume that the population has a binomial probability distribution with n = 4, p = 0.30, and x = 0, 1, 2, 3, and 4. (a) Compute the expected frequencies for x = 0, 1, 2, 3, and 4 by using the binomial probability function. Expected Frequencies 0.2401 0.2646 Observed Frequency 0.0708 (days) p*(1-P)^-x. X 32 33 26 6 3 100
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