A line of high-end tires produced by a large company has a wear-out life that can be modeled using a normal distribution with a mean of 25,000 miles and a standard of 2,000 miles. Determine each of the following a- -The percentage of tires that can be expected to wear-out within +or- (plus or minus) 2,000 miles of the average (for example between 23,000 miles and 27,000) b- -The percentage of tires that can be expected to fail between 26,000 miles and 29,000 miles Note: the term percentage refers to a probability

Starting in Albany, you travel a distance 319 miles in a direction 22.3 degrees north of west. Then, from this new position, you travel another distance 360 miles in a direction 11.0 degrees north of east. In your final position, what is your displacement from Albany?

a. Sucrose concentration at which zero percent change in weight is observed is:

b. Determine the water potential (Ψ_w ) of the potato tissue. Show your calculations.

On January 2, 2017, Chair King Co. purchased a new van for $45,000. The van had an expected useful life of six years, and an expected salvage value of $15,000. The company expected that in those six years, the van would be driven for 150,000 miles based on the following schedule:

2017 – 13,000 miles

2018 – 21,000 miles

2019 – 28,000 miles

2020 – 29,000 miles

2021 – 37,000 miles

2022 – 22,000 miles

Required:

Assuming a December 31 year-end, prepare a depreciation schedule for the life of the van using:

Straight-line depreciation

Units-of-production depreciation

Double-declining-balance depreciation

Q2. Distance (000, miles) traveled by a truck in a year is distributed normally with μ = 50.0 and σ = 12.0.

       Find

a. the proportion of trucks are expected to travel from 34.0 to 59 (000, miles)? (0.6816)

b. the probability that a randomly selected truck travels from 34.0 to 38.0 (000, miles)? (0.0669)

c. the %age of trucks that are expected to travel either below 30.0 or above 59.0 (000 miles) ? (27.41)

d. how many of the 1000 trucks in the fleet are expected to travel from 30.0 to 59.0 (000 miles)? (726)

e. how many miles will be traveled by at least 80% of the trucks? (40, 000 miles)

Consider the following information regarding the performance of a money manager in a recent month. The table represents the actual return of each sector of the manager’s portfolio in column 1, the fraction of the portfolio allocated to each sector in column 2, the benchmark or neutral sector allocations in column 3, and the returns of sector indices in column 4.

a-1. What was the manager’s return in the month?

a-2. What was her overperformance or underperformance?

The service life X of a car tire has a Normal probability distribution with µ = 50,000 miles and σ = 5500 miles. What is the probability that the useful life of a tire is greater than 3500 miles but less than 60,000 miles?

Chubbyville purchases a delivery van for $22,500. Chubbyville estimates a four-year service life and a residual value of $2,100. During the four-year period, the company expects to drive the van 108,000 miles. Calculate annual depreciation for the four-year life of the van using each of the following methods.

1. Straight-line.?

3. Actual miles driven each year were 19,000 miles in Year 1; 30,000 miles in Year 2; 22,000 miles in Year 3; and 25,000 miles in Year 4. Note that actual total miles of 96,000 fall short of expectations by 12,000 miles. Calculate annual depreciation for the four-year life of the van using activity-based. (Round your depreciation rate to 2 decimal places.)

A trucking company determined that the distance traveled per truck per year is normally​ distributed, with a mean of 70 thousand miles and a standard deviation of 10 thousand miles. Complete parts​ (a) through​ (c) below. a. nbsp What proportion of trucks can be expected to travel between 59 and 70 thousand miles in a​ year? The proportion of trucks that can be expected to travel between 59 and 70 thousand miles in a year is nothing. ​(Round to four decimal places as​ needed.) b. nbsp What percentage of trucks can be expected to travel either less than 45 or more than 80 thousand miles in a​ year? The percentage of trucks that can be expected to travel either less than 45 or more than 80 thousand miles in a year is nothing​%. ​(Round to two decimal places as​ needed.) c. nbsp How many miles will be traveled by at least 65​% of the​ trucks? The amount of miles that will be traveled by at least 65​% of the trucks is nothing miles

A paper investigated the driving behavior of teenagers by observing their vehicles as they left a high school parking lot and then again at a site approximately

mile from the school. Assume that it is reasonable to regard the teen drivers in this study as representative of the population of teen drivers.

(a) Use a .01 level of significance for any hypothesis tests. Data consistent with summary quantities appearing in the paper are given in the table. The measurements represent the difference between the observed vehicle speed and the posted speed limit (in miles per hour) for a sample of male teenage drivers and a sample of female teenage drivers. (Use μ_males − μ_females. Round your test statistic to two decimal places. Round your degrees of freedom down to the nearest whole number. Round your p-value to three decimal places.)

(b) Do these data provide convincing support for the claim that, on average, male teenage drivers exceed the speed limit by more than do female teenage drivers?

YesNo