Park Rangers in a Yellowstone National Park have determined that fawns less than 6 months old have a body weight that is approximately normally distributed with a mean µ = 26.1 kg and standard deviation σ = 4.2 kg. Let x be the weight of a fawn in kilograms. Complete each of the following steps for the word problems below:  Rewrite each of the following word problems into a probability expression, such as P(x>30).  Convert each of the probability expressions involving x into probability expressions involving z, using the information from the scenario.  Sketch a normal curve for each z probability expression with the appropriate probability area shaded.  Solve the problem.

1. What is the probability of selecting a fawn less than 6 months old in Yellowstone that weighs less than 25 kilograms?

2. What is the probability of selecting a fawn less than 6 months old in Yellowstone that weighs more than 19 kilograms?

3. What is the probability of selecting a fawn less than 6 months old in Yellowstone that weighs between 30 and 38 kilograms?

4. If a fawn less than 6 months old weighs 16 pounds, would you say that it is an unusually small animal? Explain and verify your answer mathematically.

5. What is the weight of a fawn less than 6 months old that corresponds with a 20% probability of being randomly selected? Explain and verify your answer mathematically.

On January 1, Park Corporation and Strand Corporation had condensed balance sheets as follows:

On January 2, Park borrowed $66,000 and used the proceeds to obtain 80 percent of the outstanding common shares of Strand. The acquisition price was considered proportionate to Strand’s total fair value. The $66,000 debt is payable in 10 equal annual principal payments, plus interest, beginning December 31. The excess fair value of the investment over the underlying book value of the acquired net assets is allocated to inventory (60 percent) and to goodwill (40 percent).

(1) On a consolidated balance sheet as of January 2, what should be the amount for current assets?

(2) On a consolidated balance sheet as of January 2, what should be the amount for non current assets?

Using the data from the csv file, answer the questions with rstudio

# number_children - The number of children in the home

# internet - Does the home have internet access?

# mode - The way the household took the survey

# own - Do the residents own with or without a mortgage or rent?

# language - The primary language spoken in the home

# decade_built - The decade the home was built

1) In how many households, wife’s income is over 100K?

2) How many households have a total income greater than 150K?

3) What is the average age of wife living in a home “Owned free and clear”?

4) How many different modes were available to participate in this survey?

5) How many households have both husband and wife younger than 40 years old?

6) How many households do not have internet access?

7) How many homes have 4 bedrooms?

8) How many homes have either electricity or gas monthly cost higher than 100?

9) In households with no children, do husbands tend to be older than their wives?

10) Do households in houses built in the 1960s or earlier spend more on electricity than those built in the 1970s or later? By how much?

# household - A unique ID number for each household

# age_husband - Age in years of the husband

# age_wife - Age in years of the wife

# income_husband - Total annual income of the husband

# income_wife - Total annual income of the wife

# bedrooms - Number of bedrooms in the home

# electricity - Monthly cost of electricity

# gas - Monthly cost of gas

csv file

https://docs.google.com/spreadsheets/d/1w3OCJ-ARXJ7mS_D9aKMjGmHJ3gHO2IEVpoW3tOUoCZs/edit?usp=sharing

Chuck Stout is the RM for the Holiday Inn Express. His 220-room property normally sells 85 percent of its rooms on Tuesday nights at an ADR of $141.50. All variable costs related to selling his rooms are $55.00 per room. The DOSM at his Holiday Inn Express is proposing to place a bid to sell 125 rooms for a Tuesday night next month at a rate of $109.00 per room. Chuck believes that if the hotel wins this group rooms bid, the transient room sales for that day will ensure a sell-out at the rate of $141.50.

What would be the total amount of after-variable costs rooms’ revenue the hotel will achieve if it wins the group rooms contract?

What would be the after-variable room’s income if the hotel does not win the contract?

BUS201 - Business Law

Question 6

John Fogarty was staying at the Homelike Hotel and took a bath in the tub provided with his room. When he was ready to get out of the tub, he pulled on a device in the wall of the tub called a “Soap & Grab,” which was designed to be used for the purpose of helping people pull themselves out of the tub. Instead of performing that function, however, the “Soap & Grab” pulled out of the wall and hit John in the face, breaking his nose and giving him severe cuts. John would like to sue the Homelike Hotel for negligence but has no direct evidence of what they did or did not do concerning the “Soap & Grab.” Identify the legal doctrine under which John might establish a duty against the hotel in a negligence lawsuit and explain whether John’s situation meets the requirements of that legal doctrine.

Alexandra Marcus, manager of the Sky Club Hotel, has requested your assistance on a queuing issue to improve the guest service at the hotel. Alexandra Marcus is considering how to restructure the front desk to reach an optimal level of staff efficiency and guest service. Observation of arrivals during the peak check-in time of 3:00PM to 5:00PM shows that an average of 80 guests arrive each hour. It takes an average of 3 minutes for the front-desk clerk to register each guest. At present, the hotel has five clerks on duty, each with a separate waiting line.

PLEASE SHOW CALCULATIONS!!

a. Average utilization rate of a server (p)

b. The probability of no. customers in the system (Po)

c. Average number of customers in the system (L)

d. Average time in the system (W)

e. Average waiting in line (Wq)

f. Average number of customers in line waiting Lq

project on hotel management in dbms with er diagram and table (sql)

please give answer