Question

A switchboard at some company receives calls following a probability distribution shown below where the number of calls and the probability of receiving those calls are recorded.

x 0 1 2 3 4 5 6 7 8 P(x) 0.04 0.05 0.15 0.02 0.28 0.03 0.20 0.11 0.12

x | 0 | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 |

p(x) | 0.04 | 0.05 | 0.15 | 0.02 | 0.28 | 0.03 | 0.20 | 0.11 | 0.12 |

a. Calculate the probability that the switchboard receives:

i. Less than four calls.

ii. Between 1 and 7 calls inclusive.

iii. At least 5 calls.

iv. More than two calls.

b. Calculate the expected number of calls received at the switchboard.

c. Calculate the variance and standard deviation of the distribution.

Answer #1

Thank You !

Please help me out by giving thumbs up.

Suppose that the following table contains the complete
probability distribution for the number of credit cards owned by
adults in a certain country. Complete parts a and b to the
right.
Number_of_Credit_Cards
Probability
0
0.29
1
0.26
2
0.11
3
0.09
4
0.08
5
0.06
6
0.05
7
0.03
8
0.02
9
0.01
a) compute the mean number of credit cards:
b) compute the standard deviation.

4) - 6) Thickets. The following discrete probability
distribution represents the number of speeding tickets in the past
12 months
X 0 1 2 3
P(X) 0.85 0.11 0.02 0.02
Compute the mean.
0.37
1.5
0.25
0.21
X 0 1 2 3
P(X) 0.85 0.11 0.02 0.02
Compute the variance
0.3249
0.57
0.3258
0.3259
X 0 1 2 3
P(X) 0.85 0.11 0.02 0.02
Compute the standard deviation.
0.5709
0.37
0.5710
0.58

Given the following probability distribution on the number of
books a customer entering a bookstore will purchase: Books, X p(X)
(1) 0.16 (2) 0.22 (3) 0.28 (4) 0.20 (5) 0.14 Calculate the mean
(rounded to the nearest whole number), variance and standard
deviation for this probability distribution.

For the probability distribution below find the mean, variance,
and standard deviation.
?
P(?)
?P (?)
?2P(?)
0
0.15
1
0.20
2
0.35
3
0.22
4
0.08
The probability distribution shows the cups of beer American
Adults consume every week. Find the expected value of cups of wine
American Adults consume every week.
?
P(?)
?P(?)
0
0.4
1
0.1
2
0.3
5
0.12
10
0.05

The following table contains the probability distribution for
the number of traffic accidents daily in a small town. Complete
parts (a) and (b) to the right.
Number of Accidents Daily (X)
P(X)
0
0.19
1
0.28
2
0.22
3
0.12
4
0.09
5
0.06
6
0.04
a. Compute the mean number of accidents per day.
μ =1.98 correct
b. Compute the standard deviation.
**** dont know the answer below****
σ =___________
Determine the mean and standard deviation of the variable...

The probability distribution of the number of accidents in North
York, Ontario, each day is given by
x
0
1
2
3
4
5
P(x)
0.20
0.15
0.25
0.15
0.20
0.05
a) Based on this distribution, what would be the expected number
of accidents on a given day?
A: 1.81
B: 1.47
C: 2.15
D: 4.62
b) Based on this distribution, what is the approximate value of
the standard deviation of the number of accidents per day?
A: 2.15
B:...

Consider the probability distribution of the discrete random
vector [X,Y] where X represents the number of orders for chickens
in August at neighboring supermarket and Y represents the number of
orders in September. The Joint distribution is showing the
following table.
Y
51
52
53
54
55
51
0.06
0.05
0.05
0.01
0.01
52
0.07
0.05
0.01
0.01
0.01
53
0.05
0.10
0.10
0.05
0.05
54
0.05
0.02
0.01
0.01
0.03
55
0.05
0.06
0.05
0.01
0.03
Find the probability...

Consider the following bivariate distribution p(x, y) of two
discrete random variables X and Y.
Y\X
-2
-1
0
1
2
0
0.01
0.02
0.03
0.10
0.10
1
0.05
0.10
0.05
0.07
0.20
2
0.10
0.05
0.03
0.05
0.04
a) Compute the marginal distributions p(x) and p(y)
b) The conditional distributions P(X = x | Y = 1)
c) Are these random variables independent?
d) Find E[XY]
e) Find Cov(X, Y) and Corr(X, Y)

A mail-order computer software business has six telephone
lines. Let x denote the number of lines in use at a specified time.
The probability distribution of x is as follows:
X P(x)
0 0.11
1 0.17
2 0.20
3 0.25
4 0.15
5 0.08
6 0.04
Calculate the probability of:
(a). at most three lines are in use.
(b). fewer than three lines are in use.
(c). at least three lines are in use.
(d). between two and five lines...

The following table contains the probability distribution for
the number of traffic accidents daily in a small town. Complete
parts (a) and (b) to the right.
Number of accidents daily (x)
P(X)
0 0.30
1 0.37
2 0.16
3 0.07
4 0.05
5 0.04
6 0.01
a. Compute the mean number of accidents per
day.
b. Compute the standard deviation.

ADVERTISEMENT

Get Answers For Free

Most questions answered within 1 hours.

ADVERTISEMENT

asked 39 minutes ago

asked 45 minutes ago

asked 45 minutes ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago

asked 2 hours ago

asked 2 hours ago

asked 2 hours ago