(4.20 Purchasing digital devices for children. Refer to the PC Magazine (December 2019) article on parents' opinions on the appropriate age a child should receive their first digital device, Exercise 3.20 (p. 164). Let x represent the age (in years) a parent would buy their child their first smart speaker (e.g., Amazon Echo, Google Home). Consider the probability distribution for x (adapted from the article) shown in the table. a. Verify that the probabilities in the table sum to 1. b. Find P(x < 6). c. Find P(10< x < 15). d. Find E(x) and practically interpret the value. Age (years) to Buy 1st Smart Speaker 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 Probability .01 .02 .02 .02 .03 .04 .05 .08 .07 .07 .06 .09 .05 .15 .15 .09

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 30PPS
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Need the explanation of (d)
Applying the Concepts-Basic
(4.20 Purchasing digital devices for children. Refer to the PC
Magazine (December 2019) article on parents' opinions on
the appropriate age a child should receive their first digital
device, Exercise 3.20 (p. 164). Let x represent the age (in
years) a parent would buy their child their first smart
speaker (e.g., Amazon Echo, Google Home). Consider the
probability distribution for x (adapted from the article)
shown in the table.
a. Verify that the probabilities in the table sum to 1.
b. Find P(x < 6).
c. Find P(10 < x < 15).
d. Find E(x) and practically interpret the value.
Age (years) to Buy
1st Smart Speaker
3
5
7
9
10
11
12
13
14
15
5678
16
17
18
Probability
.01
.02
.02
.02
.03
.04
.05
.08
.07
.07
.06
.09
.05
.15
.15
.09
Transcribed Image Text:Applying the Concepts-Basic (4.20 Purchasing digital devices for children. Refer to the PC Magazine (December 2019) article on parents' opinions on the appropriate age a child should receive their first digital device, Exercise 3.20 (p. 164). Let x represent the age (in years) a parent would buy their child their first smart speaker (e.g., Amazon Echo, Google Home). Consider the probability distribution for x (adapted from the article) shown in the table. a. Verify that the probabilities in the table sum to 1. b. Find P(x < 6). c. Find P(10 < x < 15). d. Find E(x) and practically interpret the value. Age (years) to Buy 1st Smart Speaker 3 5 7 9 10 11 12 13 14 15 5678 16 17 18 Probability .01 .02 .02 .02 .03 .04 .05 .08 .07 .07 .06 .09 .05 .15 .15 .09
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