# Marcos owns and operates a shuttle service that runs every hour and transports customers between their hotels and the city’s downtown area. Let XXX represent the number of customers on a randomly chosen trip. Based on previous data, here is the probability distribution of XXX along with summary statistics: X=text{ of customers}X= of customersX, equals, start text, , space, o, f, space, c, u, s, t, o, m, e, r, s, end text 000 111 222 333 P(X)P(X)P, left parenthesis, X, right parenthesis 0.100.100, point, 10 0.200.200, point, 20 0.300.300, point, 30 0.400.400, point, 40 Mean: mu_X=2μ X ​ =2mu, start subscript, X, end subscript, equals, 2 Standard deviation: sigma_X=1σ X ​ =1sigma, start subscript, X, end subscript, equals, 1 Suppose that each trip costs Marcos $1$1dollar sign, 1 in fuel regardless of how many customers he has, and each customer on a trip pays him $10$10dollar sign, 10. Let YYY represent Marcos’ net gain from a randomly chosen trip. What are the mean and standard deviation of YYY? mu_Y=μ Y ​ =mu, start subscript, Y, end subscript, equals dollars sigma_Y=σ Y ​ =sigma, start subscript, Y, end subscript, equals dollars Report a problem

Marcos owns and operates a shuttle service that runs every hour and transports customers between their hotels and the city's downtown area. Let XXX represent the number of customers on a randomly chosen trip. Based on previous data, here is the probability distribution of XXX along with summary statistics: X=\text{\ of customers}X= of customersX, equals, start text, \, space, o, f, space, c, u, s, t, o, m, e, r, s, end text 000 111 222 333
P(X)P(X)P, left parenthesis, X, right parenthesis 0.100.100, point, 10 0.200.200, point, 20 0.300.300, point, 30 0.400.400, point, 40
Mean: \mu_X=2μ
X

=2mu, start subscript, X, end subscript, equals, 2
Standard deviation: \sigma_X=1σ
X

=1sigma, start subscript, X, end subscript, equals, 1
Suppose that each trip costs Marcos \$1$1dollar sign, 1 in fuel regardless of how many customers he has, and each customer on a trip pays him \$10$10dollar sign, 10. Let YYY represent Marcos' net gain from a randomly chosen trip.
What are the mean and standard deviation of YYY?
\mu_Y=μ
Y

=mu, start subscript, Y, end subscript, equals
dollars
\sigma_Y=σ
Y

=sigma, start subscript, Y, end subscript, equals
dollars
Report a problem

## This Post Has 4 Comments

1. Expert says:

c

step-by-step explanation:

$Me i really don't feel like doing this ; )​$

2. Expert says:

see below

step-by-step explanation:

7.   there are 10 data points in the set.   the middle point is between 5 and 6.   the middle point in the top half is 8   and the middle point in the bottom half is 3. to find the iqr , take point 8 and subtract point 3

mid term   point 8 = 100   point 3 = 88

iqr = 100-88 = 12

final   point 8 = 93   point 3 = 78

iqr = 93 - 78 = 15

the final has the greatest iqr

6.   b - there is a high data value that causes the data set to be asymmetrical for the males: the data for males are high and asymmetrical .   there is an outlier for the males that skews the data

5.   the   iqr is a better measure of spread for the movies and basketball games.   since the basketball game has an outlier, we do not want to use standard deviation for measurement.

3.   the exam median is much higher than the class median.   the median line is farther to the right on the exams

2.   there is no way to tell what the means are from the box and whisker plots.

3. Expert says:

costs the what? what is the cost of the pants?

step-by-step explanation:

if it is \$10, then the price is 14.

take 40% of the cost, and then add the cost.

40% of 10 = 4

4+10 = 14.

4. Expert says:

The answe maybbe