Suppose is a normally distributed random variable with = 8.6 and σ = : 1.5. Find each of the following probabilities: (a) P(9.2 ≤ x ≤ 15.3): (b) P(7.8≤ x ≤ 14.6) (c) P(5.4 ≤ x ≤ 15.5) (d) P(x ≥9.4) (e) P(x ≤ 14.9) = = = = = 0.3446

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Could someone help me with the rest of these problems please? I did the first one but my answers keep coming up as incorrect on the next parts. Thank you! 

Suppose is a normally distributed random variable with μ = 8.6 and o = 1.5. Find
each of the following probabilities:
(a) P(9.2 ≤ x ≤ 15.3) = 0.3446
(b) P(7.8 ≤ x ≤ 14.6)
(c) P(5.4 ≤ x ≤ 15.5) =
=
(d) P(x ≥ 9.4) =
=
=
(e) P(x ≤ 14.9) =
=
Transcribed Image Text:Suppose is a normally distributed random variable with μ = 8.6 and o = 1.5. Find each of the following probabilities: (a) P(9.2 ≤ x ≤ 15.3) = 0.3446 (b) P(7.8 ≤ x ≤ 14.6) (c) P(5.4 ≤ x ≤ 15.5) = = (d) P(x ≥ 9.4) = = = (e) P(x ≤ 14.9) = =
Expert Solution
Step 1: Determine the given variables.

The question is about normal distribution.

Given :

Mean of the population ( mu ) = 8.6

Standard deviation of the population ( sigma ) = 1.5


To find :

Probability for given subparts.

steps

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