eBook Almost all U.S. light-rail systems use electric cars that run on tracks built at street level. The Federal Transit Administration claims light-rail is one of the safest modes of travel, with an accident rate of .99 accidents per million passenger miles as compared to 2.29 for buses. The following data show the miles of track and the weekday ridership in thousands of passengers for six light-rail systems.

Let X denote the number of Canon SLR cameras sold during a particular week by a certain store. The pmf of X is

x 0 1 2 3 4

pX(x) 0.1 0.2 0.3 0.25 0.15

Seventy percent of all customers who purchase these cameras also buy an extended warranty. Let Y denote the number of purchasers during this week who buy an extended warranty.

(a) What is P(X = 4, Y = 2)? [Hint: This probability equals P(Y = 2|X = 4) · P(X = 4); now think of the four purchases as four trials of a binomial experiment, with success on a trial corresponding to buying an extended warranty.] (Round your answer to four decimal places.)

P(X = 4, Y = 2) =

(b) Calculate P(X = Y). (Round your answer to four decimal places.)

P(X = Y) =

(c) Determine the joint pmf of X and Y. y x (0.7)y(0.7)x−y · pX(x) x y (0.7)y(0.3)x−y · pX(x) x y (0.7)x(0.3)x−y · pX(x) y x (0.7)x(0.7)x−y · pX(x)

Determine the marginal pmf of Y. (Round your answers to four decimal places.)

y 0 1 2 3 4

pY(y)

Please show work.

Need this program in python. The data must be taken from user as input.

Write a program that prompts the user to select either Miles-to-Kilometers or Kilometers-to-Miles, then asks the user to enter the distance they wish to convert. The conversion formula is:

Miles = Kilometers X 0.6214

Kilometers = Miles / 0.6214

Write two functions that each accept a distance as an argument, one that converts from Miles-to-Kilometers and another that converts from Kilometers-to-Miles

The conversion MUST be done as a separate function that is called by the main program.

There are 15 distances in the data (shown below).

Display the original value and its unit (miles/kilometers) and then the converted value and unit.

Data:

Miles 16

Miles 28

Kilometers 39

Kilometers 44

Miles 11

Kilometers 71

Miles 59

Kilometers 62

Kilometers 34

Miles 19

Miles 25

Kilometers 71

Kilometers 88

Kilometers 90

Miles 110

Turn in your program code and the screen shot of the display. Remember you MUST use functions here.

1. Explain the fragment patterns, isotope peaks, peak abundances, (The molecular formula for the compound is: C₂H₂Cl₂).

3:1 Ratio = Chlorine present

M⁺ peak

M⁺² peak

M⁺⁴ peak

A program written in C that asks for the distance to be entered and then prints the fare

A transportation company has the following rates

1. For the first 100 miles                                                       20 cents a mile
2. For the next 100 miles                                                       a) + 10 cents per mile over 100 miles
3. For the next 100 miles                                                       b) + 8 cents per mile over 200 miles
4. more than 300 miles                                                          c) + 5 cents per mile over 300 miles

Write a program that asks for the distance to be entered and then prints the fare

Check your answers       50 miles should cost    $10
150 miles should cost    $25
300 miles should cost    $38

A person starts walking from home and walks:
3 miles East
5 miles Southeast
6 miles South
2 miles Southwest
3 miles East

A. Find the total displacement vector for this walk: _ i+_ j

B. If this person walked straight home, they'd have to walk ___ Miles

The accompanying data resulted from a study of the relationship between y = brightness of finished paper and the independent variables

x₁ = hydrogen peroxide (% by weight), x₂ = sodium hydroxide (% by weight), x₃ = silicate (% by weight), and x₄ = process temperature.

(a) Find the estimated regression equation for the model that includes all independent variables, all quadratic terms, and all interaction terms. (Round your answers to four decimal places.)

= ____ + _____ x₁ + ____ x₂ + ____ x₃ + ____ x₄ + _____ x₁² + _____ x₂² + ______ x₃² + _____ x₄² + ______ x₁x₂ + _____ x₁x₃ + _____ x₁x₄ + _____ x₂x₃ + ______ x₂x₄ + ______ x₃x₄

(b) Calculate SSResid. (Round your answer to four decimal places.)

SSResid =  

A trucking company determined that the distance traveled per truck per year is normally​ distributed, with a mean of 40

thousand miles and a standard deviation of 11 thousand miles

c. How many miles will be traveled by at least 65% of the trucks?

1d) If the standard deviation is 7 thousand miles, the proportion of trucks that can be expected to travel between 27 and 40 thousand miles in a year is?

2d) If the standard deviation is 7 thousasnd miles, the percentage of trucks that can be expected to travel either less than 30 or more than 60 thousand miles in a year is x?

3d) If the standard deviation is 7 thousand miles, the number of miles that will be traveled by at least 65% of the trucks is x miles?

A trucking company determined that the distance traveled per truck per year is normally​ distributed, with a mean of 80

thousand miles and a standard deviation of 10 thousand miles.

How many miles will be traveled by at least 70​% of the​ trucks?

The number of miles that will be traveled by at least 70​% of the trucks is ___miles.

​(Round to the nearest mile as​ needed.)

d. What are your answers to parts​ (a) through​ (c) if the standard deviation is

6thousand​ miles?

If the standard deviation is 6thousand​ miles,the proportion of trucks that can be expected to travel between68and80 thousand miles in a year is nothing.

​(Round to four decimal places as​ needed.)

If the standard deviation is

6thousand​ miles,thepercentage of trucks that can be expected to travel either less than 70or more than 95 thousand miles in a year is  ___%.

​(Round to two decimal places as​ needed.)

If the standard deviation is

6 thousand​ miles, the number of miles that will be traveled by at least 70​% of the trucks is___

miles.

​(Round to the nearest mile as​ needed.)

Please answer the three questions below:

1.)

Using the Binomial distribution with n = 9 and p = 0.3, calculate

2.)

Using the Binomial distribution with n = 10 and p = 0.7, calculate

3.)

Using the Binomial distribution with n = 7 and p = 0.8, calculate