estion 6 (1 point) 0.65owm cell phone under 18 NOT own cell phone 0.25 own cell
ID: 2949650 • Letter: E
Question
estion 6 (1 point) 0.65owm cell phone under 18 NOT own cell phone 0.25 own cell 0.79 phone 0.45 18-65 NOT own cell phone 0.44 phone own cell over 65 NOT own cell phone A population consist of 25% under the age of 18, 45% in age of 18 to 65 and the rest over the age of 65. In the age group 18 and under 65% own a cell phone, while in the 18 to 65 group 79% own a cell phone. The over the age of 65 group 44% own a cell phone. What is the probability of not owning a cell phone in this population? Write your answer as the exact decimal if the number is less than or equal to the ten- thousandths place, or round to the ten-thousandths place if the decimal is longer.Explanation / Answer
From the given information we have
P(over 65) = 1 - P(under 18) - P(18-65) = 1 - 0.25- 0.45 = 0.30
The probability that person of not owing a cell phone in the population is
P(not owing cell phone) = P(under 18)P(not owing cell phone | under 18)+ P(18-65)P(not owing cell phone | 18-65)+ P(over 65)P(not owing cell phone | over 65) = 0.25 * (1-0.65) + 0.45 *(1 - 0.79) + 0.30 * (1-0.44) = 0.35
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