Asked Sep 25, 2019

Find the following probabilities:

a) Pr{Z < 0.33}

b) Pr{Z ≥ −0.33}

c) Pr{−2.06 < Z < 2.06}

d) Pr{−2.06 < Z < 0.0}

e) Pr{−4.00 < Z < 0.0}

f) Pr{Z < −1.75 or Z > 1.75} (you want the probability that Z is outside the range −1.75 to 1.75)

g) Pr{−1.75 < Z < 1.75}

check_circleExpert Solution
Step 1

Hey, since there is multiple subpart questions posted, we will answer first three subparts. If you want any specific subpart to be answered then please submit that subpart only or specify the subpart number in your message.

Step 2

The normal distribution:

A continuous random variable X is said to follow normal distribution with mean µ and standard deviation σ if the probability density function of X is,

-e 2
,- oo<x < o; - o<
< o;o>0

Image Transcriptionclose

(x-uj 1 -e 2 V2T f(x) ,- oo<x < o; - o< < o;o>0

Step 3

a. Calculating the probability:

The probability that Z less ...

Using the formula,
=NORM.S.DIST (0.33,1)
P(Z 0.33) 0.6293|

Image Transcriptionclose

Using the formula, =NORM.S.DIST (0.33,1) P(Z 0.33) 0.6293| <


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