Suppose a variable X (systolic blood pressure) is normally distributed with a variance of 36. If approximately 0.25 of the value s of X are less than 88, what is the mean of X g?
1 answer:
Answer:
92.044
Step-by-step explanation:
The variance = 36
σ² = 36 = 6
The probability that x is less than 88 is equal to 0.25
So probability of (x<z) = 0.25
From the z table, z = -0.674
Using the z formula,
z = x-u/σ
Z = -0.674
X = 88
σ = 6
When we insert these formula we have:
-0.674 = 88 - u/6
6 x -0.674 = 88- u
-4.044 = 88 - u
92.044 = u
Therefore from the calculations above the mean of X is 92.044 and it is approximately 92.
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