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Gennadij [26K]
4 years ago
5

Find the probabilities for a standard normal random variable Z.

Mathematics
1 answer:
vampirchik [111]4 years ago
4 0

Answer:

Step-by-step explanation:

find the attachment showing std normal curve symmetrical about y axis.

Equal probabilities on either side of the mean thus the total probability to the right of mean is 0.50

From the table we can find that

a) P(Z>2.5) = 0.5- area lying between 0 and 2.5

= 0.5-0.4938 =0.0062

b) P(1.2<z<2.2) = F(2.2)-F(1.2)

= 0.9861-0.3849

=0.6012

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\\ \tt\longmapsto \dfrac{d}{dx}\sqrt{x}+\dfrac{1}{5x}-3

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\boxed{\sf \dfrac{d(x^n)}{dx}=nx^{n-1}}

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