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Nataly_w [17]
3 years ago
11

Consider a single-line, single-server waiting line system. Suppose that customers arrive according to a Poisson distribution at

an average rate of 60 per hour, and the average (exponentially distributed) service time is 45 seconds per customer. What is the probability that there are no customers in the system?
A 15%
B 20%
c 25%
D 30%
E 35%
Business
1 answer:
andrey2020 [161]3 years ago
3 0

Answer:

Correct answer is C i.e 25%

Explanation:

Arrival rate = λ = 60 / hour

Service Rate = μ = (60 * 60) / 45 = 80 / hour

Probability of no customers in the system = Po = 1 - λ/μ = 1 - 60/80 = 0.25 or 25%

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Left, right, center,and justify are types of what
forsale [732]

Answer:

Justified Alignment

Explanation:

The type of text alignment that is frequently seen in newspaper,magazines,and books(both the left and the right sides of the paragraph are perfectly straight).I'm sorry if it was wrong.

brainliest plz ;-;

8 0
3 years ago
Fischer Company has outstanding 8,000 shares of $100 par value, 5% preferred stock, and 50,000 shares of $1 par value common sto
nikklg [1K]

Answer:

The appropriate solution is "$130,000".

Explanation:

The given values are:

No. of common shares outstanding

= 50,000

Dividend per share

= $1.80

No. of preferred shares outstanding

= 8,000

Dividend per share

= $5

Now,

The total dividend on common shares will be:

=  No. \ of \ common \ shared \ outstanding\times Dividend \ per \ share

On substituting the values, we get

=  50,000\times  1.80

=  90,000 ($)

The total dividend on preferred stock will be:

=  No. \  of \ preferred \ shares \ outstanding\times Divided \ per \ share

On substituting the values, we get

=  8,000\times 5

=  40,000 ($)

Hence,

The total dividend paid by company will be:

=  Total \ dividend \ on \ common \ shares +Total \ dividend  \ on \  preferred \ stock

=  90,000+40,000

=  130,000 ($)

Thus the above is the correct answer.

4 0
2 years ago
Lisa's opportunity cost rate is 10 percent compounded annually. How much must she deposit in an account today if she wants to re
Goryan [66]

Answer:

Present value = $21,804 (approx)

Explanation:

Given:

Periodic payment = $3,200

Number of period = 12

Interest rate = 10% = 10/100 = 0.1

Present value = ?

Computation of Present value:

Present\ value = PMT[\frac{1-(1+r)^{-n}}{r} ]\\\\Present\ value = 3,200[\frac{1-(1+0.1)^{-12}}{0.1} ]\\\\Present\ value = 3,200[\frac{1-(1.1)^{-12}}{0.1} ]\\\\Present\ value = 3,200[\frac{1-0.318630818}{0.1} ]\\\\Present\ value = 3,200[\frac{0.681369182}{0.1} ]\\\\Present\ value = 21,803.6188

Present value = $21,804 (approx)

8 0
3 years ago
What is the value of a $1,000 investment that loses 5% each year for 8 years?
boyakko [2]

600

Explanation:

Principal amount = 1000

time = 8 years

rate of losing = 0.05

A = 1000 (1 - 0.05 (8))

A = 1000 ( 1 - 0.4)

A = 1000 (0.6)

A = 600

4 0
2 years ago
Read 2 more answers
A company with 100,000 authorized shares of $4 par common stock issued 40,000 shares at $8. Subsequently, the company declared a
umka21 [38]

the amount transferred from the retained earnings account to the paid-in capital accounts as a result of the stock dividend.

5 0
3 years ago
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