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Answer:
0.3573 = 35.7%
Step-by-step explanation:
We roll a pair of dice 10,000 times so the mean and standard deviation is,
μ = 10000/36 =277.7 σ =
= (280 - 277.7)/16.4 = .14
= (300 - 277.7)/16.4 = 1.35
Probablity (range)
0.3573
Z(low)=0.14 0.555766357
Z(upper)=1.36 0.91304644
Answer:
Z = -1.65
Step-by-step explanation:
The main objective is to compute the data for the Z value and determine the of the sample distribution
Given that;
the tires' thickness is normally distributed with a mean μ = 0.45 in
standard deviation σ = 0.05 in
sample size = 65 tires
Also; we are being told that the thickness separates the lowest 5% of the means from the highest 95%
∴
P(Z < Z) =0.05
From the Z- table
P(Z < -1.645) = 0.05
Z = -1.65
Similarly;
Let consider to be the sample mean;
Then:
mean
standard deviation
= 0.00620174
By applying the Z-score formula:
x = μ + ( Z × σ )