The life expectancy of a brand of light bulbs is normally distributed with a mean of 1500 hours and a standard deviation of 75 hours. A. What is the probability that a bulb will last between 1500 and 1650 hours. The life expectancy of a brand of light bulbs is normally distributed with a mean of 1500 hours and a standard deviation of 75 hours. A. What is the probability that a bulb will last between 1500 and 1650 hours.

B. What percentage of the light bulbs will last between 1485 and 1500 hours.
C. What percentage of the light bulb will last between 1416 and 1677 hours.
D. What percentage of the light bulbs will last between 1563 and 1648 hours.
E. What percentage of the light bulbs will last less than 1410 hours.

Best Electronics offers a “no hassle” returns policy. The number of items returned per day follows the normal distribution. The mean number of customer returns is 8.2 per day and the standard deviation is 1.60 per day. Refer to the table in Appendix B.1.  

a. In what percentage of the days 6 or fewer customers returning items? (Round z-score computation to 2 decimal places and the final answer to 2 decimal places.)

Percentage            %

b. In what percentage of the days between 12 and 14 customers returning items? (Round z-score computation to 2 decimal places and the final answer to 2 decimal places.)

Percentage            %

c. Is there any chance of a day with no returns?

(Click to select)  No, it is not possible.  Yes, but very unlikely.  Yes

Are America's top chief executive officers (CEOs) really worth all that money? One way to answer this question is to look at row B, the annual company percentage increase in revenue, versus row A, the CEO's annual percentage salary increase in that same company. Suppose that a random sample of companies yielded the following data:

Do these data indicate that the population mean percentage increase in corporate revenue (row B) is different from the population mean percentage increase in CEO salary? Use a 5% level of significance. Find (or estimate) the P-value.

In this problem, assume that the distribution of differences is approximately normal. Note: For degrees of freedom d.f. not in the Student's t table, use the closest d.f. that is smaller. In some situations, this choice of d.f. may increase the P-value by a small amount and therefore produce a slightly more "conservative" answer.

Are America's top chief executive officers (CEOs) really worth all that money? One way to answer this question is to look at row B, the annual company percentage increase in revenue, versus row A, the CEO's annual percentage salary increase in that same company. Suppose a random sample of companies yielded the following data:

Do these data indicate that the population mean percentage increase in corporate revenue (row B) is different from the population mean percentage increase in CEO salary? Use a 5% level of significance. Solve the problem using the critical region method of testing. (Let d = B − A. Round your answers to three decimal places.)

Interpret your conclusion in the context of the application.

Fail to reject the null hypothesis, there is insufficient evidence to claim a difference in population mean percentage increases for corporate revenue and CEO salary.Reject the null hypothesis, there is insufficient evidence to claim a difference in population mean percentage increases for corporate revenue and CEO salary.    Reject the null hypothesis, there is sufficient evidence to claim a difference in population mean percentage increases for corporate revenue and CEO salary.Fail to reject the null hypothesis, there is sufficient evidence to claim a difference in population mean percentage increases for corporate revenue and CEO salary.

Tanya is playing PokemonGo, and searching for a Snorlax. The game is programmed such that pokemon are generated randomly, and there is a 7% chance that a Snorlax will appear. Tanya will search Mill Creek park until she captures 473 random pokemon. Consider the proportion in her sample that will be Snorlaxes. As we have learned, the sample proportion is a random quantity.

What type of random variable can we use to approximate the sample proportion? Type the name of the distribution using all capital letters.

What is the mean of the sample proportion? Input your answer as a decimal, not a percent.  

What is the standard deviation of the sample proportion? Input your answer as a decimal, not a percent.

What is the approximate probability that more than 6% of her sample will be Snorlaxes? Input your answer as a decimal, not a percent.

The Cash account of Guard Dog Security Systems reported a balance of $2,540 at December 31​, 2024. There were outstanding checks totaling $400 and a December 31 deposit in transit o f$100. The bank​ statement, which came from Park Cities​ Bank, listed the December 31 balance of $3,340. Included in the bank balance was a collection of $510 on account from Brendan Ballou​, a Guard Dog customer who pays the bank directly. The bank statement also shows a $30 service charge and $20 of interest revenue that Guard Dog earned on its bank balance. Prepare Guard Dog​'s bank reconciliation at December 31.

Guard Dog Security Systems

Bank Reconciliation

December 31, 2024

For this week's discussion, the focus will be on examining Porter's Five Forces as a tool for looking at the pressures on profits. Specifically, you will be looking at defining Porter's Five Forces and applying this tool to the market structures and pressures on profits of a chosen group of firms.

Instructions

In your discussion post, address the following:

• Chose one of the following groups and use Porter's Five Forces to analyze the pressures on profits for your chosen group's firms.
  • Group 1: the accommodations industry (e.g., Hilton, Marriott Bonvoy, InterContintental Hotel Group).
  • Group 2: the wireless telecommunications industry (e.g., Verizon, AT&T, T-Mobile).
• If you want to dig deeper into how one of the firms views the challenges it faces, you might want to look at the firm's investor page.

2.(a) Ball A is released from rest. It collides with the stationary ball B with a velocity 3.2 m/s; immediately after the collision ball A travels in the same direction with velocity 2.3 m/s.   

Ball A has mass 0.26 kg; ball B has mass 0.07 kg.

Calculate

(i) the velocity of ball B immediately after the collision..

(ii) the maximum height reached by ball B.

(b) A driver is travelling at a constant speed of 15.4 m/s in a 1800 kg car.

At this speed he then enters a large empty car park, and makes a U-turn, travelling in a complete half-circle of radius r.

The friction force between the tyres and the ground is 12.4 kN.

Calculate r.

In the case Las Vegas Sands v. Nehme, reported on page 380 of your textbook, the casino's "marker" was found by the court to be a negotiable instrument. The Venetian (a hotel owned by Las Vegas Sands LLC) was then allowed to sued Nehme for not paying a negotiable instrument. In a 500 word paper discuss the required elements for a negotiable instrument. Is it feasible that the casino marker contained all of these elements? Explain whether or not you think that gambling casinos should be able to advance credit to gamblers. From what you know about how alcohol affects a person's capacity to contract, is the fact that most gamblers are also consuming alcohol a factor in your decision? Do you think people would not gamble as much if casinos did not offer "markers?"