Please help Fast!! 35 points will be given!!

A stable roommate problem with 4 students a, b, c, d is defined as follows. Each student ranks the other three in strict order o

Fantom [35]

Answer:

Each student ranks the other three in strict order of preference.

Step-by-step explanation:

When 4 different students from different background and personality lives together, there seems to be a room for the problems and stability between them. When the problem of stability arises, it would be as a result of the other 3 students ranking each other in strict order of preference regarding to their relationship and association.

4 0

3 years ago

Over the last three evenings, Susan received a total of 95 phone calls at the call center. The first evening, she received 5 few

posledela

Answer:

Night one: 15 calls

Night two: 60 calls

Night three: 20 calls

Step-by-step explanation:

Ⓗⓘ ⓣⓗⓔⓡⓔ

Well, we would simply make an equation.

We're saying the third evening she got x calls.

x-5+3x+x=95

You would need to simplify.

5x-5=95

5x=100

x=20

Night one: 15 calls

Night two: 60 calls

Night three: 20 calls

(っ◔◡◔)っ ♥ Hope this helped! Have a great day! :) ♥

Please, please give brainliest, it would be greatly appreciated, I only a few more before I advance, thanks!

7 0

4 years ago

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mario62 [17]

Hard to say, since you provide no picture or equation.

8 0

3 years ago

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An internet search engine looks for a certain keyword in a sequence of independent web sites. It is believed that 20% of the sit

marusya05 [52]

Answer:

(a) The probability that at least 5 of the first 10 sites contain the given keyword is 0.0328.

(b) The probability that the search engine had to visit at least 5 sites in order to find the first occurrence of a keyword is 0.4096.

Step-by-step explanation:

(a)

Let X = number of sites that contains the keyword.

The probability that a site contains the keyword is, p = 0.20.

The number of sites visited first is n = 10.

The random variable X follows a Binomial distribution with parameter n and p.

The probability mass function of X is:

$P(X=x)={10\choose x}0.20^{x}(1-0.20)^{10-x};\ x=0,1,2,3...$

Compute the probability that at least 5 of the first 10 sites contain the given keyword as follows:

P (X ≥ 5) = 1 - P (X < 5)

= 1 - P (X = 0) - P (X = 1) - P (X = 2) - P (X = 3) - P (X = 4)

$=1-\sum\limits^{4}_{x=0} {10\choose x}0.20^{x}(1-0.20)^{10-x}\\=1-0.1074-0.2684-0.3020-0.2013-0.0881\\=0.0328$

Thus, the probability that at least 5 of the first 10 sites contain the given keyword is 0.0328.

(b)

Let Y = number of sites that contains the keyword.

The probability that a site contains the keyword is, p = 0.20.

The random variable Y follows a Geometric distribution with parameter p.

The probability mass function of Y is:

$P(Y=y)=(1-p)^{x-1}p;\ x=1,2,3...$

Compute the probability that the search engine had to visit at least 5 sites in order to find the first occurrence of a keyword as follows:

P (X ≥ 5) = 1 - P (X ≤ 4)

$=1-\sum\limits^{4}_{x=1} (1-0.20)^{x-1}0.20\\=1-0.20-0.16-0.128-0.1024\\=0.4096$

Thus, the probability that the search engine had to visit at least 5 sites in order to find the first occurrence of a keyword is 0.4096.

4 0

4 years ago

Wanda has 1600 U.S. dollars. If 1 Australian dollar equals 0.8876 U.S. dollars, about how many Australian dollars can Wanda buy

Katena32 [7]

its D 1802.612 you divide 1600 by .8876

3 0

4 years ago

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