Suppose the average speeds of passenger trains traveling from Newark, New Jersey, to Philadelphia, Pennsylvania, are normally distributed, with a mean average speed of 87 miles per hour and a standard deviation of 6.4 miles per hour. (a) What is the probability that a train will average less than 73 miles per hour? (b) What is the probability that a train will average more than 80 miles per hour? (c) What is the probability that a train will average between 90 and 99 miles per hour?

(a) P(x < 73)

(b) P(x > 80)

(c) P(90 ≤ x ≤ 99)

A metropolitan transportation authority has set a bus mechanical reliability goal of 3,800 bus miles. Bus mechanical reliability is measured specifically as the number of bus miles between mechanical road calls. Suppose a sample of 100 buses resulted in a sample mean of 3,875 bus miles and a sample standard deviation of 275 bus miles.

population of bus miles is more than 3,800 (use a 0.01 level of significance)

(a) find the critical value(s) for the test statistic is(are) _

(b) is there sufficient evidence to reject the null hypothesis using a=0.01

(c) Determine the p-value and interpret its meaning

A trucking company determined that the distance traveled per truck per year is normally​ distributed, with a mean of 50 thousand miles and a standard deviation of 12 thousand miles. Complete parts​ (a) through​ (c) below. a. nbsp What proportion of trucks can be expected to travel between 34 and 50 thousand miles in a​ year? The proportion of trucks that can be expected to travel between 34 and 50 thousand miles in a year is . 4082. ​(Round to four decimal places as​ needed.) b. nbsp What percentage of trucks can be expected to travel either less than 40 or more than 65 thousand miles in a​ year?

The percentage of trucks that can be expected to travel either less than 40 or more than 65 thousand miles in a year is ______%. ​(Round to two decimal places as​ needed.)

(a) draw and label a sketch of the normal curve

(b) identify and shade the area of interest

(c) identify any formulas and values substituted

(d) identify the calculator command used and values entered into the calculator

(e) write your response as a decimal rounded to three places

The tread life of a particular brand of tire is a random variable best described by a normal distribution with a mean of 60,000 miles and a standard deviation of 2800 miles.

Use 100,000 or -100,000 as the upper or lower bound where necessary.

a.  What is the probability a particular tire of this brand will last longer than 57,200 miles?

b.  What is the probability a particular tire of this brand will last less than 58,000 miles?

c.  What is the probability a particular tire of this brand will last between 56,850 miles and 57,300 miles?

1. A tire company produces a tire that has an average life span of 500 miles with a standard deviation of 250. The distribution of the life spans of the tires is normal. What is the probability that the tires lasts between 530 and 375 miles? (Round three decimal places)

2. A tire company produces a tire that has an average life span of 480 miles with a standard deviation of 30. The distribution of the life spans of the tires is normal. What is the probability that the tires lasts less than 430 miles? Round your answer to three decimal places

3. A tire company produces a tire that has an average life span of 480 miles with a standard deviation of 25. The distribution of the life spans of the tires is normal. What is the probability that the tires lasts greater than 498 miles? (Round three decimal places)

Chubbyville purchases a delivery van for $23,100. Chubbyville estimates that at the end of its four-year service life, the van will be worth $1,900. During the four-year period, the company expects to drive the van 109,000 miles. Calculate annual depreciation for the four year life of the van using straight line, double declining, and activity based.

1. Straight Line Method

What is Depreciation expense?

2. Double Declining Balance

3. Activity Based

Actual miles driven each year were...

19,000 miles in Year 1

31000 miles in Year 2

21000 miles in Year 3

25000 miles in Year 4

Note that actual total miles of 96,000 fall short of expectations by 13,000 miles.

PLEASE, SHOW YOUR CALCULATION!

I need to know how to calculate each of them. You may just send the picture of your note. You don't have to type each calculation.

Python - No libraries - No count() function allowed

You need to travel 100 miles via rental car. There are several cars on the lot to choose from, each with their own MPG (miles per gallon) rating. Some cars have a manual transmission, while others do not (they're automatic). The price for gas in the area is $3 per gallon. Cars that have a manual transmission get a 10% discount at the pump.

To streamline your selection, the car rental place can supply you with a dictionary that represents the cars on their lot. The keys of this dictionary are names of cars, and their values are another dictionary. The inner dictionary has a key for the MPG of this car, and a key for whether or not the car is manual.

Write a function called def cheapest(cars) that returns the name of the car that costs the least amount of money to travel 100 miles.

Here is an example (there could be more than just two cars):

cars_on_lot = {'Civic':{'mpg':40,'manual':True},'Volt':{'mpg':50,'manual':False}}

print(cheapest(cars_on_lot)) # Volt

The "Civic" gets 40 miles to the gallon and is a manual transmission. 100 miles in this car requires 2.5 gallons of gas. The manual transmission deduction is $0.75. Therefore, it costs $6.75 to travel 100 miles in this car.

The "Volt" gets 50 miles to the gallon but is not a manual transmission. 100 miles in this car requires 2 gallons of gas. There is no manual transmission deduction. Therefore, it costs $6 to travel 100 miles in this car.

Of these two options, the Volt is the cheapest car you can use to travel 100 miles.

Which of the following mixtures will be a buffer when dissolved in a liter of water?

4).

(a) Calculate the five-number summary of the land areas of the states in the U.S. Midwest. (If necessary, round your answer to the nearest whole number.)

(b) Explain what the five-number summary in part (a) tells us about the land areas of the states in the midwest

(c) Calculate the five-number summary of the land areas of the states in the U.S. Northeast. (If necessary, round your answer to the nearest whole number.)

(d) Explain what the five-number summary in part (c) tells us about the land areas of the states in the Northeast

(d) Contrast the results from parts (b) and (d).
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5).Find the five-number summary for the data on highway mileage shown below.