Answer:
The answer is 43% or 0.43
Step-by-step explanation:
Given:
Probability that person selected aged 35years or older is a smoker = 17.5%
Probability that person selected aged 35years or older is a female comma =25.5%
Solution:
a) Probability (35yrs or older is a smoker) + probability (35years or older is a female comma)
= 17.5% + 25.5%
= 43% 0r 0.43
b) No, it would not be unusual because it is by chance, it may and it may not.
Answer:
a) P(U and T) = 0.045
b) YES!, a randomly selected person aged 35 years and older is a female and smokes are an unusual.
Step-by-step explanation:
Let T represents the event that the randomly selected person is a smoker
Let U represents the event that the randomly selected person is female.
Given that; there is a 17.5% probability that a randomly selected person agef 35 years or older is a smoker.
i.e P(T) = 0.175
and there is a 25.5% probability that a randomly selected person aged 35 years or older is a female, given that he or she smokes.
i.e P (U|T) = 0.255
Then;
P (U|T) = [tex]\frac{P(U and T)}{P(T)}[/tex]
0.255 = [tex]\frac{P(U and T)}{0.175}[/tex]
P(U and T) = 0,255 × 0.175
P(U and T) = 0.044625
P(U and T) = 0.045
∴ The probability that a randomly selected person aged 35 years or older is female and smokes is 0.045
b)
The probability that a randomly selected person aged 35 years or older is female and smokes is 0.045.
It is seen that the probability is less than 0.05; thus illustrating that the randomly selected person aged 35 years or older is female and smokes is an unusual event.
∴ YES!, a randomly selected person aged 35 years and older is a female and smokes are an unusual.
