Question-200792

Question Number 200792 by sonukgindia last updated on 23/Nov/23

Commented by Frix last updated on 23/Nov/23

Do you know the answer ?

Is it 63 . 77 % ?

Commented by sonukgindia last updated on 23/Nov/23

h o w ?

Commented by Frix last updated on 23/Nov/23

I think

μ = 32.66 \times 36 = 1175.76

σ = 1.36 \times 36 = 48.96

x = 1193

z = \frac{x - μ}{σ} \approx . 352328

\frac{1}{\sqrt{2 π}} \underset{- \infty}{\int^{z}} e^{- \frac{x^{2}}{2}} d x \approx . 637704

Commented by mr W last updated on 23/Nov/23

i t h i n k {i t}^{'} s c o r r e c t .

Answered by mr W last updated on 23/Nov/23

\frac{1399}{36} = 33.14

\frac{x - μ}{σ \sqrt{2}} = \frac{33.14 - 32.66}{1.36 \times \sqrt{2}} = 0.24957

\frac{1}{2} [1 + e r f (\frac{x - μ}{σ \sqrt{2}})] \approx 63 . 79 %

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