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21.01.2020 •
Mathematics
Kathy and her brother clay recently ran in a local marathon. the distribution of finishing time for women was approximately normal with mean 259 minutes and standard deviation 32 minutes. the distribution of finishing time for men was approximately normal with mean 242 minutes and standard deviation 29 minutes. what is the probability of the menand women running a marathon time of less than 2 hours?
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Ответ:
P (X<120)=0
Step-by-step explanation:
We can compute the probability for women:
μ=259 and σ=32
P ( X<120 )=P ( X−μ<120-259 )=P ((X−μ)/σ<(120−259)/32)
Since (x−μ)/σ =Z
and
we have:
Use the standard normal table to find this area.
Now we can find P ( Z<4.34 ) by using the standard normal table which is 1:
Therefore: P (X<120)=0
For men
μ=242 and σ=29
P ( X<120 )=P ( X−μ<120-242 )=P ((X-μ)/σ <(120-242)/29 )
Since (x-μ)/σ=Z
and
we have:
Use the standard normal table to find this area.
Now we can find P ( Z<4.21 ) by using the standard normal table which is 1:
Therefore: P (X<120)=0
Ответ:
A SO cute
Step-by-step explanation: