Answer:
68 %
Step-by-step explanation:
Let's call X to the random variable ''lengths of a lawn mower part''.
X ~ N(given mean;standard deviation)
X ~ N(4 in;0.2 in)
To find the percentage,first we are going to turn this random variable X into a random variable Z. Z will be a N(0;1)
We do this by subtracting the given mean to the original variable and dividing by it deviation.
P (3.8 in < X < 4.2 in) =
P [(3.8 in - 4 in) / (0.2 in)] < [(X - 4 in)] / (0.2 in) < [(4.2 in - 4 in) / (0.2 in)]
P ( -1 < Z < 1 ) = P (Z < 1) - P (Z< -1)
Where we can find P (Z < 1) and P (Z< -1) in any table of a N(0;1)
P (Z < 1) - P (Z< -1) = 0.8413 - 0.1587 = 0.6826 = 68%
Answer:
When we have a mean M and a standard deviation S, the values that are within the mean absolute deviation are all the values in the interval:
[M -S, M + S]
In this case, we have:
M = 782
S = 52
Then the interval is:
[782 - 52, 782 + 52]
[730, 834]
Then any number between 730 and 834 are possible answers to this question, for example, we can choose:
789 and 801
8 × 25 × 23 = 4,600
The answer is 4,600.
A) 24 because it a very simple
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