Question

For a Normal distribution with μ = 11.4 μ = 11.4 and σ = 2.9 σ...

For a Normal distribution with
μ
=
11.4
μ
=
11.4
and
σ
=
2.9
σ
=
2.9
.

What proportion of observations have values less than 17?

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Answer #1

Solution :

P(x < 17) = P[(x - \mu ) / \sigma < (17 - 11.4) / 2.9]

= P(z < 1.9310)

= 0.9733

proportion = 0.9733

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