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bixtya [17]
3 years ago
5

If X is a normal random variable with parameters µ = 10 and σ 2 = 36, compute

Mathematics
1 answer:
alex41 [277]3 years ago
6 0

Answer:

Step-by-step explanation:

Given that X is a normal random variable with parameters µ = 10 and σ 2 = 36,

X is N(10, 6)

Or z = \frac{x-10}{6}

is N(0,1)

a)  P(X > 5),

=P(Z>-0.8333)\\=0.7977

(b) P(4 < X < 16),

=P(|z|

(c) P(X < 8),

=P(Z

(d) P(X < 20),

=P(Z

(e) P(X > 16).

=P(Z>-0.6667)

= 0.2524

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