X follows normal distribution N (μ, σ2) with pdf f and cdf F. if max, f...

Question

Question

X follows normal distribution N (μ, σ2) with pdf f and cdf F. if max, f (z) = 0.997356 and F (-1) + F (7)-1, determine .4 .4

Answer 1

Answer #1

max f(x) is at x - mean

and

f(x) = 1/sqrt( 2* pi * sd^2) = 0.997356

sd = 0.4

also

F( mean - a) + F(mean + a) = 1

here

F(-1) + F(7) = 1

hence mean = (7 -1)/2 = 3

P(X<= 0)

= P(Z <(0 - 3)/0.4)

= P(Z < -7.5)

=0.0000

$a):1-3. b)o-0.4, c)0.0000$

Answer 2

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