Answer:
u = 5.176 oz
Step-by-step explanation:
Given:
standard deviation = 0.4
P(x>6) = 2℅ = 0.02
The complement role:
P(A°) = P(not A)
= 1 - P(A)
P(x<6) = 1, P(x>6) = 1 = 0.02 =
= 1-0.02 = 0.98
Taking the closest probability 0.9893 which is on row 2.0 column .06 in the probability table, we now have a z score of
2.0 + 0.06 = 2.06
Zo = 2.06
Therefore, Z score is expressed as
Zo = (x -u) / sd
We already know Zo = 2.06
x = 6
u = ?
sd = 0.4
Therefore,
2.06 = (6 - u) / 0.4
= 2.06 * 0.4 = 6 - u
u = 5.176
The correct answer is µ= 5.178
Find µ for P(X > 6) = 0.02
Normal distribution
σ = 0.4 oz
P(X > Xo) = 0.02 => P(X < Xo) = 0.98
P ( X - µ/σ < Xo - µ/σ) = 0.98
P(Z < Xo - µ/ σ) = 0.98
Xo - µ/ σ = invNorm (0.98)
µ = Xo - µ x invNorm (0.98)
Use the z-table to get value for invNorm (0.98) which is 2.054
µ = 6=0.4 x (2,054) = 5178400 or 5.178
µ = 5.178
(letters are going in order from top to bottom)
<u>Statistical</u> <u>Nonstatistical</u>
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Santana's thinking is not correct, because the correct translation is 2 units to the left, not right.
I just got that question and I got it right.
the ratio of the following x is 3/4
