Find each of the probabilities where z is a z-score from a
standard normal distribution with...
Find each of the probabilities where z is a z-score from a
standardnormal distribution with
a mean of μ=0 and standard deviation σ=1. Make sure you
draw a picture of each problem. Show all steps
with TI 83
Calculate the standard score (Z-Score) and indicate where the
Z-Score would be on a Standard Normal Distribution (draw the normal
distribution)
μ = 85 and σ = 15; x = 110
μ = 120 and σ = 12.5; x = 80
μ = 100 and σ = 20; x = 118
1. Find the area under the standard normal distribution for each
z score.
a. Between 1.56 and 1.96
b. To the right of 1.75
c. To the left of 1.36
2. The average amount of rain per year in Greenville is 49
inches. The standard deviation is 7.5 inches. Find the probability
that next year Greenville will receive the following amount of
rainfall. Assume the variable is normally distributed.
a. At most 55 inches of rain
b. At least 62...
Find the z-score corresponding to the given
area. Remember, z is distributed as the
standard normal distribution with mean of μ = 0 and standard
deviation σ = 1.
(a) The area to the left of
z is 25%.
(b) The area to the right of
z is 65%.
(c) The area to the left of
z is 10%.
(d) The area to the right of
z is 5%.
(e) Find the value for z such that the area
between –z...
Find the indicated z score. The graph depicts the standard
normal distribution with mean 0 and standard deviation 1. Click to
view page 1 of the table. LOADING... Click to view page 2 of the
table. LOADING... z0.9812 A graph with a bell-shaped curve, divided
into 2 regions by a line from top to bottom on the right side. The
region left of the line is shaded and is labeled 0.9812. The
indicated z score is ___.
Find the indicated z score. The graph depicts the standard
normal distribution with mean 0 and standard deviation 1. Click to
view page 1 of the table. LOADING... Click to view page 2 of the
table. LOADING... z0.9817 A graph with a bell-shaped curve, divided
into 2 regions by a line from top to bottom on the right side. The
region left of the line is shaded and is labeled 0.9817. The
indicated z score is nothing. (Round to two...
•Vocabulary list (define)
normal distribution
Gaussian distribution
Standard normal
Z score (or Z value)
•What is the area under a normal distribution?
•What is the area under any distribution?
1. Suppose a random variable, Z, follows a Standard Normal
distribution. Find the following probabilities using the
z-table.
For the Z distribution, find the following. Use z-table and
check with Excel. Sketch, etc.
(a) the 28th percentile
(b) the 59th percentile.