In the probability distribution to the right, the random
variable X represents the number of hits a baseball player obtained
in a game over the course of a season. Complete parts (a) through
(f) below. x P(x) 0 0.1685 1 0.3358 2 0.2828 3 0.1501 4 0.0374 5
0.0254
(a) Verify that this is a discrete probability distribution.
This is a discrete probability distribution because all of the
probabilities are at least one of the probabilities is all of...
1. The following probability distribution represents the number
of people living in a Household (X), and the probability of
occurrence (P(X)). Compute the Expected Value (mean), the Variance
and the Standard Deviation for this random variable. Show Your
Calculations for the Mean.
X
1
2
3
4
5
P(X) .33 .29
.27
.07 .04
2. Use the binomial formula to compute the probability of a
student getting 8 correct answers on a 10...
1) determine whether the distribution represents a probability
distribution if not state why
x
15
16
20
25
p(x)
0.2
0.5
0.7
-0.8
2) Suit sales: the number of suits sold per day at a retail
store is shown in the table with corresponding probabilities find
the mean, variance and standard deviation of the distribution
x
0
1
2
3
4
P(X)
.31
.42
.21
.04
.02
3) dice game: a person pays $2 to play a certain game by...
The joint probability distribution of the number X of
cars and the number Y of buses per signal cycle at a
proposed left-turn lane is displayed in the accompanying joint
probability table.
y
p(x,
y)
0
1
2
x
0
0.015
0.025
0.010
1
0.030
0.050
0.020
2
0.075
0.125
0.050
3
0.090
0.150
0.060
4
0.060
0.100
0.040
5
0.030
0.050
0.020
(a) What is the probability that there is exactly one car and
exactly one bus during...
The joint probability distribution of the number X of
cars and the number Y of buses per signal cycle at a
proposed left-turn lane is displayed in the accompanying joint
probability table.
y
p(x,
y)
0
1
2
x
0
0.015
0.010
0.025
1
0.030
0.020
0.050
2
0.075
0.050
0.125
3
0.090
0.060
0.150
4
0.060
0.040
0.100
5
0.030
0.020
0.050
(a) What is the probability that there is exactly one car and
exactly one bus during...
Suppose that for a given computer salesperson, the probability
distribution of x = the number of systems sold in 1 month
is given by the following table.
x
1
2
3
4
5
6
7
8
p(x)
0.05
0.10
0.12
0.30
0.29
0.12
0.01
0.01
(a)
Find the mean value of x (the mean number of systems
sold).
(b)
Find the variance and standard deviation of x. (Round
your standard deviation to four decimal places.)
variance
standard deviation
How would...
Suppose that for a given computer salesperson, the probability
distribution of x = the number of systems sold in one
month is given by the following table.
x
1
2
3
4
5
6
7
8
p(x)
0.06
0.10
0.11
0.30
0.31
0.10
0.01
0.01
(a) Find the mean value of x (the mean number of
systems sold).
mean =
(b) Find the variance and standard deviation of x. (Round
the answers to four decimal places.)
variance
=
standard deviation...
A random sample of 19 rainbow trout caught at Brainard lake,
Colorado, had mean length x = 11.9 inches with sample standard
deviation o 2.8 inches.
Find a 95% confidence interval for the population mean length of
all rainbow trout in this lake.
b. interpret the meaning of the confidence interval in the context
of this problem .
A random sample of 78 students was interviewed, and 59
students said that they would vote for Jennifer James as student
body...
Consider the probability distribution of the discrete random
vector [Χ,Y ] where Χ represents the
number of orders for chickens in August at neighbouring supermarket
and Y represents the number
of orders in September. The joint distribution is shown in the
following table:
6
Χ
Y 100 200 300 400 500
100 0.06 0.05 0.05 0.01 0.01
200 0.07 0.05 0.01 0.01 0.01
300 0.05 0.10 0.10 0.05 0.05
400 0.05 0.02 0.01 0.01 0.03
500 0.05 0.06 0.05 0.01...
The probability distribution of a discrete random variable x is
shown below.
X 0 1 2 3
P(X) 0.25 0.40 0.20 0.15
What is the standard deviation of x?
a.
0.9875
b.
3.0000
c.
0.5623
d.
0.9937
e.
0.6000
Each of the following are characteristics of the sampling
distribution of the mean except:
a.
The standard deviation of the sampling distribution of the mean
is referred to as the standard error.
b.
If the original population is not normally distributed, the
sampling distribution of the mean will also...