In: Statistics and Probability

18-54. Have you ever heard someone repeat the contradictory statement, "The place is so crowded no one goes there any more"? This statement can be interpreted as saying that the opportunity for balking increases with the increase in the number of customers seeking service. A possible platform for modeling this situation is to say that the arrival rate at the system decreases as the number of customers in the system increases. More specifically, we consider the simplified case of M&M Pool Club, where customers usually arrive in pairs to "shoot pool." The normal arrival rate is 6 pairs (of people) per hour. However, once the number of pairs in the pool hall exceeds 8, the arrival rate drops to 5 pairs per hour. The arrival process is assumed to follow the Poisson distribution. Each pair shoots pool for an exponential time with mean 30 minutes. The pool hall has a total of 5 tables and can accommodate no more than 12 pairs at any one time. Determine the following:

(a) The probability that customers will balk.

(b) The probability that all tables are in use.

(c) The average number of tables in use.

(d) The average number of pairs waiting for a pool table to be available.

(a). 0.00135

(b). 0.2385

(c). 2.9768

(d). 0.2935

At first, we will find all probabilities were p0 is unknown. From sum=1 we will find p0. then one by one we will find all probabilities.

Supply Chain Value
Have you ever heard someone say (or maybe you’ve said it) that
if you could just cut out the “middleman” the product would be so
much cheaper?
When is this true for the consumer?
When is this not true for the consumer?
How does a supply chain provide value for the consumer?
Thinking about a product that you recently have
purchased:
What is the product?
What "route" did it take through the supply chain - in other...

Supply Chain Value
(250 words total) Have you ever heard someone say (or maybe
you’ve said it) that if you could just cut out the “middleman” the
product would be so much cheaper?
1) When is this true for the consumer?
2) When is this not true for the consumer?
3) How does a supply chain provide value for the
consumer?
4) Thinking about a product that you recently have
purchased:
A) What is the product?
B) What "route" did...

1.Have you ever heard or experienced litigation on a
contract and seen the effect of, or heard discussion of, liability
and indemnity provisions? Research the provisions and report on
what you find.
2.Research and discuss how to limit
liability.

Is there ever an acceptable reason for someone to
commit suicide? If so, what? If not, should we always
attempt to stop others from ending their lives?

Be honest, have you ever met someone, only to be shocked that
you share the same birthday? We have all been there at one point or
another. In this week's discussion, you will be asked to address
this event with a measure of probability.
See, each semester I ask each of my classes of about 32
face-to-face students the question, "What do you believe the
probability is that there exists a common birthday(s) among those
in this class?" After each...

Be honest, have you ever met someone, only to be shocked that
you share the same birthday? We have all been there at one point or
another. Address this event with a measure of probability.
See, each semester I ask each of my classes of about 32
face-to-face students the question, "What do you believe the
probability is that there exists a common birthday(s) among those
in this class?" After each person has the opportunity to consult
his or her...

Have you ever considered whether you or someone you love might
be at risk for some type of cancer?
1. Identify 2 controllable risk factors associated with the
disease. Explain how each risk factor contributes to the onset of
this disease.
2. Identify 2 uncontrollable risk factors associated with the
disease. Explain how each relates to the prevalence/onset of this
disease.
3. What evidence-based steps are important to take in order to
reduce your (their) risk of this type of...

Are you currently or have you ever been in love? If so, what
attracted you to that person? Do the reasons that attracted you to
that person agree with theories and research on interpersonal
attraction? Which theories? Explain your answer, comparing or
contrasting your relationship to theories of interpersonal
attraction. If you have never been in love, analyze a friend's love
relationship.

Have you ever been a part of a virtual team or do you know
someone who has (possibly ask around)? Describe what worked and
what did not.

You may have heard the statement that you should not
include your home as an asset in your investment portfolio. Assume
that your house will compromise up to 75% of your assets in the
early part of your investment life. Evaluate the implications of
omitting it when calculating the risk of your overall investment
portfolio:

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