Imagine we measured the height of all the male students at a particular college. We found that the average height of men at this school was 70 inches (5'10") with a standard deviation of 2 inches and the distribution is approximately normal in shape. If we were to randomly select one male student from this college, what is the probability that this student is 73 inches (6'1") or taller?
Accepted Solution
A:
Answer:0.0668Step-by-step explanation:As per given we have, [tex]\mu=70[/tex] [tex]\sigma= 2[/tex] Also, the distribution is approximately normal in shape. since , [tex]z=\dfrac{x-\mu}{\sigma}[/tex]z-score corresponds to x= 73 will be :_[tex]z=\dfrac{73-70}{2}=1.5[/tex]P-value = [tex]P(x\geq73)=P(z\geq1.5)[/tex][tex]=1-P(z<1.5)=1-0.9331927=0.0668073\approx0.0668[/tex]Hence, the probability that this student is 73 inches (6'1") or taller = 0.0668