A luxury hotel believes that 90% of their customers are very satisfied with its service. A random sample of 120 guests were surveyed to determine how satisifed they are with the service and accommodations at the hotel.
a. Describe the random variable for this probability distribution (i.e., what type of variable, what is the probability distribution, what does the variable represent, what are it's possible values, etc.).
b. What is the probability that at least 110 of the people in the sample report being very satisfied with the hotel's service?
c. What is the probability that less than 100 people in the sample report being very satisfied with the service at the hotel?
d. Employees have been promised a bonus if more than 90% of the sample are very satisfed with the hotel's service. What is the probability that the employees will receive the bonus?
e. How many people in the sample can be expected to report that they are very satisfied with the service at the hotel?
f. if the sample shows only 100 of the customers reporting being very satisfied with the service at the hotel, explain using probability why the hotel might want to re-assess the accuracy of the belief that 90% of customers are very satisfied with service at the hotel.
In: Statistics and Probability
In mid-2009, Rite Aid had CCC-rated, 66-year bonds outstanding with a yield to maturity of 17.3 % At the time, similar maturity Treasuries had a yield of 3 % Suppose the market risk premium is 5 % and you believe Rite Aid's bonds have a beta of 0.31 The expected loss rate of these bonds in the event of default is 60 % a. What annual probability of default would be consistent with the yield to maturity of these bonds in mid-2009? b. In mid-2015, Rite-Aid's bonds had a yield of 7.1 % while similar maturity Treasuries had a yield of 1.5 % What probability of default would you estimate now? a. What annual probability of default would be consistent with the yield to maturity of these bonds in mid-2009? The required return for this investment is nothingm%. (Round to two decimal places.) The annual probability of default is nothingm%. (Round to two decimal places.) b. In mid-2015, Rite-Aid's bonds had a yield of 7.1 % while similar maturity Treasuries had a yield of 1.5 % What probability of default would you estimate now? The probability of default will be nothingm%. (Round to two decimal places.)
In: Finance
4. One hundred students were interviewed. Forty–two are Monthly Active Users (MAU) of Facebook (F), and sixty–five are MAU of Snapchat(S). Thirty–four are MAU of both Facebook and Snapchat. One of the100 students is randomly selected, all 100 students having the same probability of selection (1/100).
(a) What is the probability that the student is an MAU of Facebook?
(b) What is the probability that the student is an MAU of Facebook given that the student is an MAU of Snapchat?
(c) Find Pr(S|F).
d) Express the probability in Part (b) in symbols, that is in a similar fashion to Part (c).
5. The students in Question 4 were also asked if they were MAU of Twitter. Twenty five were MAU of Twitter, including 15 who were MAU of Facebook and Twitter and 16 who were MAU of Twitter and Snapchat. Twenty four students were not MAU of any of Facebook, Snapchat or Twitter.
(a) What is the probability that a randomly selected student is an MAU of Facebook, Snapchat, and Twitter?
(b) What is the probability that a randomly selected student is an MAU of Twitter, conditional on that student being an MAU of both Facebook and Snapchat?
In: Math
In mid-2009, Rite Aid had CCC-rated, 6-year bonds outstanding with a yield to maturity of 17.3 %. At the time, similar maturity Treasuries had a yield of 3 %. Suppose the market risk premium is 5 % and you believe Rite Aid's bonds have a beta of 0.31. The expected loss rate of these bonds in the event of default is 60 %. a. What annual probability of default would be consistent with the yield to maturity of these bonds in mid-2009? b. In mid-2015, Rite-Aid's bonds had a yield of 7.1 %, while similar maturity Treasuries had a yield of 1.5 %. What probability of default would you estimate now?
a. What annual probability of default would be consistent with the yield to maturity of these bonds in mid-2009?
The required return for this investment is _______%. (Round to two decimal places.)
The annual probability of default is _____%. (Round to two decimal places.)
b. In mid-2015, Rite-Aid's bonds had a yield of 7.1%, while similar maturity Treasuries had a yield of 1.5%. What probability of default would you estimate now?
The probability of default will be _______%. (Round to two decimal places.)
In: Finance
In the following problem, check that it is appropriate to use
the normal approximation to the binomial. Then use the normal
distribution to estimate the requested probabilities.
Do you take the free samples offered in supermarkets? About 64% of
all customers will take free samples. Furthermore, of those who
take the free samples, about 41% will buy what they have sampled.
Suppose you set up a counter in a supermarket offering free samples
of a new product. The day you were offering free samples, 309
customers passed by your counter. (Round your answers to four
decimal places.)
(a) What is the probability that more than 180 will take your
free sample?
(b) What is the probability that fewer than 200 will take your free
sample?
(c) What is the probability that a customer will take a free sample
and buy the product? Hint: Use the multiplication rule for
dependent events. Notice that we are given the conditional
probability P(buy|sample) = 0.41, while P(sample)
= 0.64.
(d) What is the probability that between 60 and 80 customers will
take the free sample and buy the product? Hint:
Use the probability of success calculated in part (c).
In: Math
In the following problem, check that it is appropriate to use
the normal approximation to the binomial. Then use the normal
distribution to estimate the requested probabilities.
Do you take the free samples offered in supermarkets? About 64% of
all customers will take free samples. Furthermore, of those who
take the free samples, about 41% will buy what they have sampled.
Suppose you set up a counter in a supermarket offering free samples
of a new product. The day you were offering free samples, 309
customers passed by your counter. (Round your answers to four
decimal places.)
(a) What is the probability that more than 180 will take your
free sample?
(b) What is the probability that fewer than 200 will take your free
sample?
(c) What is the probability that a customer will take a free sample
and buy the product? Hint: Use the multiplication rule for
dependent events. Notice that we are given the conditional
probability P(buy|sample) = 0.41, while P(sample)
= 0.64.
(d) What is the probability that between 60 and 80 customers will
take the free sample and buy the product? Hint:
Use the probability of success calculated in part (c).
In: Math
A marketing survey looked at the preferences of hot drink size
among 1275 random
customers of a coffee shop chain. The survey was also interested in
whether the customer’s gender
affects their preference. The results of the survey were used to
estimate the probabilities in this joint
probability distribution:
Tall (T) Grande (G) Venti (V)
Female (F) 0.12 0.24 0.06
Male (M) 0.08 0.38 0.12
a) What is p (M, T), the joint probability that a customer in the
survey was both male and prefers tall
drinks?
b) What is p (F), the marginal probability that a customer in the
survey was female?
c) What is p(G), the marginal probability that a customer in the
survey prefers Grande drinks?
d) What is p (V | M), the conditional probability, given a customer
in the survey was male, that he prefers
venti drinks?
e) What is p (F | V), the conditional probability, given a customer
in the survey prefers venti drinks, that the customer was
female?
f) There are two random variables in this situation, drink size and
gender. Are they independent or dependent? Explain how you arrived
at the answer and show your calculations.
In: Computer Science
Jonah Meyers, an Orthodox Jew, brought his wife to the hospital in active labor at 8 p.m. on a Friday. When she gave birth at midnight, the nurses suggested that Mr. Meyers accompany her to the postpartum unit and then return home to rest. He thanked them but explained that he could not drive home because it was the Sabbath. The nurses understood and arranged for him to stay in his wife’s room.
In the morning, Mr. Meyers asked the nurses for breakfast. They explained that the hospital provided food only for patients; he would have to buy his breakfast in the dining room. When Mr. Meyers told them he was forbidden to ride in an elevator or handle money, one of the nurses offered to get him food. But Mr. Meyers had no money with him. Frustrated, the nurses finally ordered extra food for his wife to share with him. At lunch, Mr. Meyers once again requested food. This time the nurses suggested that he call a friend or relative to pick him up.
Research Sabbath for Orthodox Jews and answer:
When is the holiday? Why could he drive his wife there but not himself home?
What restrictions are Orthodox Jews to observe?
If he knew he would have to stay at the hospital, why had he not brought food with him? Was it appropriate to suggest he call a friend? What accommodations or interventions could the nurses do and explain their importance and how should they address them?
Name 3 changes or additions to an EHR that could help patients feel more respected and educate healthcare staff -
In: Nursing
rom the health record of a patient undergoing foot surgery in
the outpatient surgical unit:
Indication for Procedure: The patient is a 60-year-old female who
has a persistently
ingrowing great toenail on the left foot that has had two past
infections. The infection
is now clear and the patient presents for wedge resection of the
toenail. She also
has pernicious anemia, Friedreich's ataxia, and heart disease.
Because of these
conditions, a digital block will be used for the procedure.
Procedure: Wedge resection of toenail
Procedure Description: The patient is placed in the supine
position, with the knees
flexed, and the left foot is flat on the table. The toe is prepped
and cleansed. A standard
digit block is performed with 1 percent lidocaine using a 10-ml
syringe and a 30-gauge
needle. Approximately 3 ml is instilled on each side of the
toe.
After waiting 10 minutes, a sterilized rubber band is placed around
the base of the toe.
The toe is resterilized and draped with the toe protruding. A nail
elevator is slid under
the cuticle to separate the nail plate from the overlying proximal
nail fold, The lateral
one fourth of the nail plate is identified as the site for the
partial lateral nail removal.
A bandage scissors is used to cut from the distal end of the nail
straight back beneath
the proximal nail fold. A straight, smooth, new lateral edge to the
nail plate is created.
The lateral piece of nail is grasped with a hemostat and removed in
one piece, pulling
straight out.
ICD-10-CM and CPT Code(s):
In: Nursing
Draw Lewis structure, count the steric number and lone pair electrons. Using the steric number and lone pair electrons to predict the geometry of the following species: (a) SO2, (b) BeCl2, (c) SeCl4, (d) PCl5
In: Chemistry