Answer:
0.41053
Step-by-step explanation:
[TeX]z=\frac{x-\mu}{\sigma}[/TeX]
[TeX]z=\frac{25-26.9}{8.4}[/TeX]
z=-0.2262
P(X<25)=P(z<-0.2262)
=1-P(z<0.2262)
=1-0.58947
P(x<25) = 0.41053
The probability that a randomly selected person is under the age of 25 is 0.41053.
Answer:
0.41053
Step-by-step explanation:
The z-score, also known as standard score / z-value / normal score. It is a quantity without dimensions which can be used to determine number of standard deviations by which a number is far from the mean value. Numbers over the mean have positive z-scores and below the mean have negative.
Here X is below the the mean so the z score is negative.
As we know
Z Score = (x - μ) / σ
Z Score = ( 25 - 26.9 ) / 8.4
Z score = -0.2262
Now We calculate P Value
P(X<25)=P ( z < -0.2262 )
P(X<25) =1 - P ( z < 0.2262)
P(X<25) =1 - 0.58947
P(x<25) = 0.41053
The probability that he or she was under 25 years of age is 0.41053.
