X represents the number of computers in American households who own computers. T

Question

X represents the number of computers in American households who own computers.

The probability distribution of X is as follows:

What is the probability that a randomly selected American household will have:

i) more than two computers?

ii) between 2 and 5 computers, inclusive?

iii) fewer than 3 computers?

b. Determine the sample size needed to estimate the population mean to within 2 units with a 95% confidence when the population standard deviation equals 8.

Explanation / Answer

i) P(x>2)=P(x=3)+P(x=4)+P(x=5)=0.17+0.15+0.1=0.42

ii) P(2<=x<=5)=P(x=2)+P(x=3)+P(x=4)+P(x=5)=0.33+0.17+0.15+0.1=0.75

iii) P(x<3)=P(x=1)+P(x=2)=0.25+0.33=0.58

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