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Answer:
the probability that the woman is taller than the man is 0.1423
Step-by-step explanation:
Given that :
the men's heights are normally distributed with mean 68
standard deviation = 3.1
And
the women's heights are normally distributed with mean 65
standard deviation = 2.8
We are to find the probability that the woman is taller than the man.
For woman now:
mean = 65
standard deviation = 2.8
= 1-P (z , 1.07)
Using z table,
= 1 - 0.8577
= 0.1423
Thus, the probability that the woman is taller than the man is 0.1423