Question

In: Statistics and Probability

Type or paste question hereConsider the following. (Give your answers correct to four decimal places.) (a)...

Type or paste question hereConsider the following. (Give your answers correct to four decimal places.)

(a) Find P(0.00 < z < 2.08).

(b) Find P(-1.83 < z < 2.09).

(c) Find P(z > 0.21).

(d) Find P(z < 1.53).

Expert Solution

Let z follows standard normal distribution.

P(a<z<b) =(b) - (a)

From table we can find the value of (.)

a)P(0.00<z<2.08)

=(2.08)-(0.00)

=0.9812-0.5000

=0.4812

b)P(-1.83<z<2.09)

=(2.09) - (-1.83)

=0.9817-0.0336

=0.9481

c)P(z>0.21)

=1-P(z<0.21)

=1-(0.21)

=1-0.5832

=0.4168

d)P(z<1.53)

=(1.53)

=0.9370

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