Tire lifetime:the lifetime of a certain type of automobile tire(in thousands of moles) is normally distributed with mean u=41 and standard deviation o=4 What is the probability that a radon chosen tire has lifetime greater than 50 thousand miles? What proportion of tires have lifetime between 36 and 45 thousand miles What proportion of tires have lifetimes less than 46 thousand miles? Round answers at least 4 places

Write a program to compute the total time and average speed it will take a runner to run 10 miles with the following pace segments:

they run the first mile at a pace of 7 minutes per mile, the following 4 miles at a pace of 8.5 minutes per mile, the next 4 miles at a pace of 9 minutes per mile and the last mile at a pace of 3.5 minutes per mile.

Performs the computations and prints the results in a single nice message

Language PYTHON3

4. Indicate which variable is the independent and dependent for each pair. If either could be the independent, answer “reciprocal.” If the two variables do not seem related, answer “unrelated.”

a) Property inspections completed, number of inspectors

b) Property tax rate, property value

c) Consumption of ice cream in a month, average daily temperature in a month

d) Satisfaction with local services, voting in a local election

e) Work commute time, time of day

f) Merit pay, work productivity

g) Flu cases per capita, average age of population

h) Road miles constructed, number of commuters

i) Husband’s income, wife’s income

j) Visitors to a state park, visitors to a nearby national park

k) Season of the year, number of animals dropped at a shelter

l) Drop-out rate from high school, teenage pregnancy rate

m) Donations to a local ballet, Sales tax rate

1) A new car that is a gas- and electric-powered hybrid has recently hit the market. The distance travelled on 1 gallon of fuel is normally distributed with a mean of 55 miles and a standard deviation of 6 miles. Find the probability of the following events:

A. The car travels more than 59 miles per gallon.

Probability =

B. The car travels less than 51 miles per gallon.

Probability =

C. The car travels between 50 and 63 miles per gallon.

Probability =

2) A sample of ?=24n=24 observations is drawn from a normal population with ?=1000μ=1000 and ?=240σ=240. Find each of the following:

A. ?(?¯>1097)

Probability =

B. ?(?¯<906)

Probability =

C. ?(?¯>990)

Probability =

3) A boxplot for a set of 96 scores is given below.

How many scores are represented in the blue section of the boxplot?
Answer: ?

4)A boxplot for a set of data is given below. Find the five-number summary

Find the minimum:

Find ?1

Find the median

Find ?3:

Find the maximum

[The following information applies to the questions displayed below.]

Three different companies each purchased trucks on January 1, Year 1, for $50,000. Each truck was expected to last four years or 200,000 miles. Salvage value was estimated to be $5,000. All three trucks were driven 66,000 miles in Year 1, 42,000 miles in Year 2, 40,000 miles in Year 3, and 60,000 miles in Year 4. Each of the three companies earned $40,000 of cash revenue during each of the four years. Company A uses straight-line depreciation, company B uses double-declining-balance depreciation, and company C uses units-of-production depreciation.

Answer each of the following questions. Ignore the effects of income taxes.

b-1. Calculate the net income for Year 4.
b-2. Which company will report the lowest amount of net income for Year 4?

Which company will report the lowest amount of net income for year 4?

1) Suppose the scores of students on a Statistics course are Normally distributed with a mean of 542 and a standard deviation of 98. What percentage of the students scored between 542 and 738 on the exam? (Give your answer to 3 significant figures.)

2) A new car that is a gas- and electric-powered hybrid has recently hit the market. The distance travelled on 1 gallon of fuel is normally distributed with a mean of 65 miles and a standard deviation of 6 miles. Find the probability of the following events:

A. The car travels more than 69 miles per gallon.

Probability =

B. The car travels less than 59 miles per gallon.

Probability =

C. The car travels between 59 and 68 miles per gallon.

Probability =

3)

(1 point) Suppose that X is normally distributed with mean 85 and standard deviation 20.

A. What is the probability that X is greater than 118?
Probability =

B. What value of XX does only the top 18% exceed?
X =

Little TownLittle TownPizza bought a used Ford delivery van on January​ 2,20182018​, for$ 21 comma 800$21,800. The van was expected to remain in service for four years left parenthesis 48 750(48,750 miles). At the end of its useful​ life, Little TownLittle Town management estimated that the​ van's residual value would be $ 2 comma 300$2,300. The van traveled 1500015,000 miles the first​ year, 1700017,000 miles the second​ year, 1250012,500 miles the third​ year, and 42504,250 miles in the fourth year.

We will make some changes to our first program. If you recall we began with, A car's gas mileage or miles-per-gallon (MPG) can be calculated with the following Formula: MPG = Miles Driven / Gallons of gas used. Write a class called Mileage. The Mileage class should have two private member variables called miles and gallons of type double. The class should have four public methods: setMiles and setGallons should use void return types; getMiles and getGallons should use double return types. It should have one more method called getMPG that performs the math calculation and returns the double MPG Write a program called MPGMain that asks the user for the number of miles driven and the gallons of gas used. It should call the Mileage class to calculate the car's MPG. The class should return the MPG to the MPGMain where it was called and display the value on the screen. (Format the display and limit the miles-per-gallon to 2 decimal places) in JAVA programming language

Amy Lloyd is interested in leasing a new Honda and has contacted three automobile dealers for pricing information. Each dealer offered Amy a closed-end 36-month lease with no down payment due at the time of signing. Each lease includes a monthly charge and a mileage allowance. Additional miles receive a surcharge on a per-mile basis. The monthly lease cost, the mileage allowance, and the cost for additional miles follow:

Amy decided to choose the lease option that will minimize her total 36-month cost. The difficulty is that Amy is not sure how many miles she will drive over the next three years. For purposes of this decision, she believes it is reasonable to assume that she will drive 12,000 miles per year, 15,000 miles per year, or 18,000 miles per year. With this assumption Amy estimated her total costs for the three lease options. For example, she figures that the Hepburn Honda lease will cost her 36($299) + $0.15(36,000 - 36,000) = $10,764 if she drives 12,000 miles per year, 36($299) + $0.15(45,000 - 36,000) = $12,114 if she drives 15,000 miles per year, or 36($299) + $0.15(54,000 - 36,000) = $13,464 if she drives 18,000 miles per year.

About 58% of students go to a college within 100 miles of their home. If you choose a random sample of 10 students, what is the probability that at least four students go to a college within 100 miles of their home?