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dustinralph9768
23.01.2021 •
Mathematics
One father is 70 inches tall and the residual for his son’s height is 2.5. What is the son’s actual height?
71.7 inches
74.2 inches
76.7 inches
82.3 inches
Solved
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Ответ:
C
Step-by-step explanation:
Since the heights of the men are assumed to be normally distributed, we would apply the formula for normal distribution which is expressed as
z = (x - µ)/σ
Where
x = heights of the men.
µ = mean height
σ = standard deviation
From the information given,
µ = 70.7 inches
σ = 2.1 inches
The probability that they have a mean height greater than 71.7 inches is expressed as
P(x > 71.7) = 1 - P(x ≤ 71.7)
For x = 71.7
Since n = 36, then
z = (71.7 - 70.7)/2.1/√36 = 2.86
Looking at the normal distribution table, the probability corresponding to the z score is 0.998
P(x > 71.7) = 1 - 0.998 = 0.002
Ответ:
2
Step-by-step explanation: