d. P(41 ≤ x ≤ xo) = .8630 e. 10% of the values of x are less than xo. f. 1% of the values of x are greater than .

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d, e, f

4.94 Suppose x is a normally distributed random variable with
μ = 50 and σ = 3. Find a value of the random variable, call it xo,
such that
a. P(x ≤ xo) = .8413
b. P(x > xo) = .025
c. P(x > xo) = .95
d. P(41 ≤ x ≤ xo) = .8630
<
e. 10% of the values of x are less than o.
f. 1% of the values of x are greater than 0.
Transcribed Image Text:4.94 Suppose x is a normally distributed random variable with μ = 50 and σ = 3. Find a value of the random variable, call it xo, such that a. P(x ≤ xo) = .8413 b. P(x > xo) = .025 c. P(x > xo) = .95 d. P(41 ≤ x ≤ xo) = .8630 < e. 10% of the values of x are less than o. f. 1% of the values of x are greater than 0.
Expert Solution
Step 1

We know, X be normally distributed random variable i.e., X~N(μ,σ)

 the mean(μ)= 50 and standard deviation(σ)= 3

 

 

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