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Sarahinator04
08.02.2021 •
Mathematics
Please help me thank you
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Ответ:
option D is the correct answer.
Step-by-step explanation:
Since the diameters of bolts produced by a certain machine are normally distributed, we would apply the formula for normal distribution which is expressed as
z = (x - µ)/σ
Where
x = diameter of bolts
µ = mean diameter
σ = standard deviation
From the information given,
µ = 0.3 inches
σ = 0.01 inches
We want to find the probability bolts that will have a diameter greater than 0.32 inches. It is expressed as
P(x > 0.32) = 1 - P(x ≤ 0.32)
For x = 0.32,
z = (0.32 - 0.3)/0.01 = 2
Looking at the normal distribution table, the probability corresponding to the z score is 0.9773
P(x > 0.32) = 1 - 0.9733. = 0.0228
The percentage of bolts will have a diameter greater than 0.32 inches is
0.0228 × 100 = 2.28%