Answer:
The probability of getting someone who is age 18-22 or does not smoke is 0.854 ....
Step-by-step explanation:
Through the given statements we have to find the probability of getting someone who is age 18-22 or does not smoke.
Age 18-22 has 177 people. 48 of whom smoke.
People who does not smoke =(177-48) + (146-31) +(81-28)
People who does not smoke=129+115+53 = 297
People with age (18-22) who does not smoke = 129
P(18-22 or does not smoke) = (177+297-129)/(177+146+81)
P(18-22 or does not smoke) = 345/404
P(18-22 or does not smoke) = 0.854
Thus the probability of getting someone who is age 18-22 or does not smoke is 0.854 ....
The probability of getting someone who is age 18-22 or does not smoke is 0.44
Smoking is the practice when substance is burned and the resulting smoke breathed in to be tasted and absorbed into the bloodstream. Smoking tobacco is a physical addiction and a psychological habit. The probability is the measure quantifying the likelihood that events will occur.
A study of consumer smoking habits includes 177 people in the 18-22 age bracket ( 48 of whom smoke), 146 people in the 23-30 age bracket ( 31 of whom smoke), and 81 people in the 31-40 age bracket ( 28 of whom smoke). If one person is randomly selected from this sample.
Find the probability of getting someone who is age 18-22 or does not smoke.
Let event A = someone of age 18-22 and event B = someone who smokes. Then,
[tex]P(A)=\frac{smokers of age 18-22 }{all people who have smoking habits} = \frac{177}{177+146+81} = \frac{177}{404}[/tex]
[tex]P(B)=\frac{someone who smokes}{all people who have smoking habits} = \frac{48+31+28}{177+146+81} = \frac{107}{404}[/tex]
[tex]P(AandB)=\frac{ smokers of age 18-22+someone who smokes}{all people who have smoking habits} = \frac{48}{177+146+81} = \frac{48}{404}[/tex]
Using the definition, we have:
[tex]P(AorB)=P(A)+P(B)-P(AandB)=\frac{177}{400} +\frac{ 107 }{400} - \frac{48}{400} = \frac{176}{400}= \frac{11}{25}=0.44[/tex]
Therefore, the probability of selecting someone who is age 18-22 or smokes is 0.44
Grade: 5
Subject: Math
Chapter: probability
Keywords: smoke, probability, age, bracket, person
