suppose that weight of adolescents is being studied by a heath organization and that the accompanying table describes the probability distribution for three randomly selected adolescents, where x is the number of adolescents who are considered morbidly obese. is it unusual to have no obese subjects among three randomly selected adolescents?
x P(X)
0 0.111
1 0.215
2 0.450
3 0.224
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From 3 randomly selected adolescents probability that no obeses subjects among 3 randomly selected adolescents is :
P(X=0) = .111
This means that probability that No obese subjects exist among 3 randomly selected adolescents is higher than .05, which is generally the cutoff for saying whether an event is highly unusual or not.
Hence, this event is NOT unusual, since p = .111 > .05
Answer: It is NOT unusual to have no obese subjects among three randomly selected adolescents
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