The following table gives the number of U.S. households within each of four income groups in which someone owns a smartphone. <30,000 75,000+ Income ($) Number of Owners (in thousands) 30,000-49,999 50,000-74,999 11,811 8,465 7,609 32,053 Let X denote the random variable that takes on the values 1, 2, 3, and 4, corresponding to the income groups <$30,000, $30,000-$49,999, $50,000-$74,999, and $75,000+, respectively. (a) Find the probability distribution associated with these data. (Round your answers to three decimal places.) Income ($) <30,000 30,000-49,999 50,000-74,999 75,000+ P(X = x) (b) If a smartphone owner in one of these households is chosen at random, what is the probability that his or her household income is between $30,000 and $74,999, inclusive? (Round your answer to three decimal places.)
The following table gives the number of U.S. households within each of four income groups in which someone owns a smartphone. <30,000 75,000+ Income ($) Number of Owners (in thousands) 30,000-49,999 50,000-74,999 11,811 8,465 7,609 32,053 Let X denote the random variable that takes on the values 1, 2, 3, and 4, corresponding to the income groups <$30,000, $30,000-$49,999, $50,000-$74,999, and $75,000+, respectively. (a) Find the probability distribution associated with these data. (Round your answers to three decimal places.) Income ($) <30,000 30,000-49,999 50,000-74,999 75,000+ P(X = x) (b) If a smartphone owner in one of these households is chosen at random, what is the probability that his or her household income is between $30,000 and $74,999, inclusive? (Round your answer to three decimal places.)
Chapter8: Sequences, Series,and Probability
Section8.7: Probability
Problem 4ECP: Show that the probability of drawing a club at random from a standard deck of 52 playing cards is...
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![The following table gives the number of U.S. households within each of four income groups in which someone owns a smartphone.
Income ($)
Number
of Owners
(in thousands)
<30,000
30,000-49,999
50,000-74,999
75,000+
11,811
8,465
7,609
32,053
Let X denote the random variable that takes on the values 1, 2, 3, and 4, corresponding to the income groups <$30,000, $30,000-$49,999, $50,000-$74,999, and $75,000+, respectively.
(a) Find the probability distribution associated with these data. (Round your answers to three decimal places.)
Income ($)
<30,000
30,000-49,999 50,000-74,999
75,000+
P(X = x)
(b) If a smartphone owner in one of these households is chosen at random, what is the probability that his or her household income is between $30,000 and $74,999, inclusive? (Round your answer to three decimal places.)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F79cbc358-f9c7-4513-8a58-8a5e6560b01b%2F2fc5f76f-c931-4bb9-827e-a86b1ca82c83%2Fdb8gpeq_processed.png&w=3840&q=75)
Transcribed Image Text:The following table gives the number of U.S. households within each of four income groups in which someone owns a smartphone.
Income ($)
Number
of Owners
(in thousands)
<30,000
30,000-49,999
50,000-74,999
75,000+
11,811
8,465
7,609
32,053
Let X denote the random variable that takes on the values 1, 2, 3, and 4, corresponding to the income groups <$30,000, $30,000-$49,999, $50,000-$74,999, and $75,000+, respectively.
(a) Find the probability distribution associated with these data. (Round your answers to three decimal places.)
Income ($)
<30,000
30,000-49,999 50,000-74,999
75,000+
P(X = x)
(b) If a smartphone owner in one of these households is chosen at random, what is the probability that his or her household income is between $30,000 and $74,999, inclusive? (Round your answer to three decimal places.)
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