Find the score corresponding to the 75th percentile of a normal
distribution with a mean of 90 and a standard deviation of 12.
2.A normal distribution has a mean of 5 and a standard deviation
of 2. What proportion of the distribution is above 3?
3.A normal distribution of test scores has a mean of 38 and a
standard deviation of 6. Everyone scoring at or above the 80th
percentile gets placed in an advanced class. What is the cutoff...
1)In a distribution of IQ scores, where the mean is 100 and the
standard deviation is 15........
-Compute the z score for an IQ of 100
-Compute the z score for an IQ of 107
2)For all US women, assuming a normal distribution - Mean height
is 64 inches ; Standard deviation is 2.4 inches
-What percentage of US women are 60 inches or shorter?
-What percentage of US women have a height between 64 and 67
inches?
Suppose a distribution has a mean of 100 and a standard
deviation of 20. Further suppose that random samples of size n =
100 are taken with replacement from this distribution. The mean of
the sampling distribution of sample means is mu subscript x with
bar on top end subscript = and the standard deviation of the
sampling distribution of sample means is sigma subscript top
enclose x end subscript = .
Find the following percentile for the standard normal
distribution. Draw a sketch and show the R code:
a. 91st percentile
b. 9th percentile
c. 75th percentile
d. 25th percentile
e. 6th percentile
b. Find the distribution mean and distribution standard
deviation for Volume Sold, and answer the question: How many nets
does a customer buy in a typical transaction? (Please show
in excel)
Table C4-2: Volume, Frequency, and Charge for Wholesale
Nets Sold
Volume Sold
Frequency
Amount Charged
1
20
$3.00
2
38
$6.00
3
53
$9.00
4
45
$12.00
5
40
$14.00
6
13
$16.00
7
5
$18.00
8
36
$20.00
Suppose the alphabet is S = {A B C D} and the known probability
distribution is PA = 0.3, PB = 0.1,
PC = 0.5, and PD = 0.1. Decode the Huffman
coding result {11000010101110100} to the original string based on
the probability distribution mentioned above. The codeword for
symbol “D” is {111}. Please writing down all the details of
calculation.
(a) find the margin of error for the values of c, s, and n, and
(b) construct the confidence interval for m using the
t-distribution. Assume the population is normally distributed.
16. c = 0.99, s = 16.5, n = 20, x = 25.2
(a) find the margin of error for the values of c, s, and n, and
(b) construct the confidence interval for m using the
t-distribution. Assume the population is normally distributed.
16. c = 0.99, s = 16.5, n = 20, x = 25.2