Question

Find the following probabilities.

Draw a picture of the normal curve and shade the area :

1. P (z ≤ 1.31) =

2. P (z ≥ 1.65) =

3. P (−2.17 ≤ z ≤ 2.18) =

Answer #1

Find the area under the standard normal curve below. Draw a
graph and shade the area you are trying to find to the left of z =
1.85.

Find the following probabilities (area under the curve) for each
of the following. Make sure to draw and shade your Normal Curve.
Please upload one submission for the following three (3) problems.
Normal Distributions (Bell Curve): Definition, Word Problems ...
P(z LaTeX: \le ≤ 3.98) Normal Distributions (Bell Curve):
Definition, Word Problems ... P(1.25 LaTeX: \le ≤ z LaTeX: \le ≤
2.31) Normal Distributions (Bell Curve): Definition, Word Problems
... P(z < -1.4 or z > 2.6)
example of the...

Given that Z is a standard normal random variable, compute the
following probabilities. Draw a curve and shade appropriate region.
Use TI-83 calculator to find the probabilities
(i) P( z ≤ 1.0)
(ii) P( z ³ 1.0)
(iii) P( z ≤ -1.0)
(iv) P(-1.0 ≤ z ≤ 1.0)
(v) P(-1.6 ≤ z ≤ 1.2)

17)Draw the standard normal distribution. Shade the area to the
between of -2.68 and 1.49. Find the shaded area.
18)Draw the standard normal distribution. Shade the area to the
left of the z-score is 0.907. Find the z-score.

Find these probabilities for a standard normal random variable
Z. Be sure to draw a picture to check your calculations. Use the
normal table or software.
(a)
P(Zless than<1.11.1)
(d)
P(StartAbsoluteValue Upper Z EndAbsoluteValueZgreater
than>0.40.4)
(b)
P(Zgreater than>negative 1.4−1.4)
(e)
P(negative 1.4−1.4less than or equals≤Zless than or
equals≤1.11.1)
(c)
P(StartAbsoluteValue Upper Z EndAbsoluteValueZless
than<1.61.6)

Find the area under the standard normal curve and shade it in on
the given curve. (4 decimal places) Write the calculator commands
used.
A. ?(−1.3 < ? < 1.5)

For each of the following probabilities, shape- the area under
the standard normal curve corresponding to the probability. Then
find the requested probability.
a.) P(z<-0.23)
b.) P(0.17<z<2.1)
c.) P(-0.3< z < 1.35)
d.) P(z > -1.73)
e.) P(-0.17 < z < 1.35)
f.) P(z > 0.67)

Using a TI-84 calculator, find the area under the standard
normal curve to the right of the following z-values. Round the
answers to four decimal places.
1) z= 1.17
2) z= -2.17
3) z= 1.34
4) z= 0.99

Find the area under the standard normal curve that lies between
the following two z values. Round your answers to at least four
decimal places.
(a)Find the area under the standard normal curve that lies
between = z − 1.28 and = z 1.36 .
(b)Find the area under the standard normal curve that lies
between = z − 2.17 and = z − 1.92 .
(c)Find the area under the standard normal curve that lies
between = z 1.36...

Find the area under the standard normal distribution curve for
each of the following. (
a.) Between z = 0 and z = -2.34
b.) To the right of z = -2.11
c.) To the left of z = 1.31
d.) To the left of z = - 1.45
e.) To the right of z = - .85

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