Question

Use the probability distribution to complete parts (a) through (d) below The probability distribution of number of televisions per household in a small town P(x) (a) Find the probability of randomly selecting a household that has one or two televisions The probability is 0.02 0.13 0.25 0.60 Type an integer or a decimal. Do not round) (b) Find the probability of randomly selecting a household that has two or more televisions The probability is Type an integer or a decimal. Do not round) (c) Find the probability of randomly selecting a household that has between one and three televisions, inclusive The probability is

Answer 1

$\dpi{100} \mathbf{Solution}$

$\dpi{100} {\color{Blue} \mathbf{(a)}}\;P(one\;or\;two\;televisions)\Rightarrow P(1)+P(2)=0.13+0.25=\mathbf{{\color{Red} 0.38}}$

$\dpi{100} {\color{Blue} \mathbf{(b)}}\;P(two\;or\;more\;televisions)\Rightarrow P(2)+P(3)=0.25+0.60=\mathbf{{\color{Red} 0.85}}$

$\dpi{100} {\color{Blue} \mathbf{(c)}}\;P(between\;one\;and\;three\;televisions)\Rightarrow P(1)+P(2)+P(3)$

$\dpi{100} =0.13+0.25+0.60=\mathbf{{\color{Red} 0.98}}$

$\dpi{100} {\color{Blue} \mathbf{(d)}}\;P(at\;most\;two\;televisions)\Rightarrow P(0)+P(1)+P(2)$

$\dpi{100} =0.02+0.13+0.25=\mathbf{{\color{Red} 0.40}}$