1. For the following probability distribution find the mean,
variance, and standard deviation. (complete the chart).
X p(x) x.p(x) x-μ (x-μ)square root of 2
(x-μ)square root of 2 .p(x)
0 0.125
1 0.375
2 0.375
3 0.125
Mean=
Variance=
Standard deviation=
In a normal distribution with mean = 27 and standard deviation =
4 Find the probability for
a.) 23 < x < 31
b.) 27<x<35
c.) 25 < x < 30 d.) x>26
e.) x < 24
Calculate the mean, the variance, and the standard deviation of
the following discrete probability distribution. (Negative
values should be indicated by a minus sign. Round intermediate
calculations to at least 4 decimal places. Round your final answers
to 2 decimal places.)
x
−32
−20
−10
−5
P(X = x)
0.46
0.24
0.18
0.12
1. Calculate the mean, the variance, and the standard deviation
of the following discrete probability distribution.
X
-23
17
-9
-3
P(X=x)
0.5
0.25
0.15
0.19
2. A marketing firm is considering making up to three new hires.
Given its specific needs, the form feels that there is a 60% chance
of hiring at least two candidates. There is only a 5% chance that
it will not make any hires and a 10% chance that it will make all
three...
Find the mean, variance and standard deviation for the
probability distribution given below. Give your answers to at least
4 decimal places. X -4 3 9 11 P(X) 0.599 0.131 0.214 0.056 A. Mean
= B. Variance = C. Standard Deviation =
Find the mean, variance, and standard deviation of the binomial distribution with the given values of n and p. n=70, p=0.6 The mean, μ, is _______ (Round to the nearest tenth as needed.) The variance, σ2, is _______ (Round to the nearest tenth as needed.) The standard deviation, σ, is _______ (Round to the nearest tenth as needed.)
1. Following a normal probability distribution with a mean of
200 and a standard deviation of 10, 95 percent of the
population will be between:
200 and 220
180 and 220
180 and 200
less than 180
3. A family of four spends an average of $1000 per month with a
standard deviation of $50. This spending follows a
normal continuous distribution.
What is the probability that a family will spend more than $1050
in a month? (answer to 3 decimal places)
5....
Consider the standard normal distribution with mean = 0, and
standard deviation = 1
a. What is the probability that an outcome z is greater than
2.20? b. What is the probability that z is less than 1.1? c. What
is the probability that z is between -1.03 and 0.84? d. What value
of z cuts off the upper 23% of the standard normal distribution? e.
What value of z cuts off the lower 18% of the standard...