Please help!!!!!!!!!!!!!!!!!!!!!

In the Ardmore Hotel, 20 percent of the guests (the historical percentage) pay by American Express credit card. (a) What is the

xxMikexx [17]

Answer:

(a) The expected number of guests until the next one pays by American Express credit card is 4.

(b) The probability that the first guest to use an American Express is within the first 10 to checkout is 0.0215.

Step-by-step explanation:

The random variable X can be defined as the number of guests until the next one pays by American Express credit card

The probability that a guest paying by American Express credit card is, p = 0.20.

The random variable X follows a Geometric distribution since it is defined as the number of trials before the first success.

The probability mass function of X is:

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

(a)

The expected value of a Geometric distribution is:

$E(X)=\frac{1-p}{p}$

Compute the expected number of guests until the next one pays by American Express credit card as follows:

$E(X)=\frac{1-p}{p}$

$=\frac{1-0.20}{0.20}$

$=4$

Thus, the expected number of guests until the next one pays by American Express credit card is 4.

(b)

Compute the probability that the first guest to use an American Express is within the first 10 to checkout as follows:

$P(X=10)=(1-0.20)^{10}\times0.20$

$=0.1073741824\times 0.20\\=0.02147483648\\\approx0.0215$

Thus, the probability that the first guest to use an American Express is within the first 10 to checkout is 0.0215.

3 0

3 years ago

Solve 5z(z+2)(z−1)=0.

fredd [130]

Answer:

if you are solving for z it is:

Step-by-step explanation:

z=0,-2,1

5 0

3 years ago

What is the product of the polynomials below? (x-9)(x+2)

Leno4ka [110]

(x-9) (x+2)=x²+2x-9x-18=x²-7x-18

5 0

3 years ago

Read 2 more answers

Juan takes 15 hours to do a job that his father can do in 6 hours. If juan works for 4.5 hours before his father joins him, how

ad-work [718]

Work it exactly like the other one with Wilda and Karla.

Juan takes 15 hours to do a job ... he does 1/15 of it in an hour.
His father can do it in 6 hours ... he does 1/6 of it in an hour.

Juan works alone for 4.5 hours. In that time, he does 4.5/15 = 0.3
of the job. When his father joins him, there's only 0.7 of it to finish.

Working together, they do (1/15 + 1/6) = (2/30 + 5/30) = 7/30 of the job
each hour.

How many times do they have to do 7/30 of the job in order to finish
the 7/10 of it that remains ? That will be the number of hours they need.

(7/10) / (7/30) = 7/10 x 30/7 = 3 hours.

Then they can knock off while it's still daylight, and go for a swim.

3 0

3 years ago

Use the box plot to explain what you know about the spread of this data set.

Lyrx [107]

Answer:

Interquartile Range = 34

Range = 55

Step-by-step explanation:

Max - Min = Range

75 - 20 = 55

Quartile 3 - Quartile 1 = IQR

68 - 34 = 34

5 0

3 years ago