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 <em>X</em> 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, <em>p</em> = 0.20.
The random variable <em>X</em> follows a Geometric distribution since it is defined as the number of trials before the first success.
The probability mass function of <em>X</em> is:

(a)
The expected value of a Geometric distribution is:

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



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:


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

Step-by-step explanation:
To write any decimal as a fraction you divide by 1 and multiply by a number (ranging from 10, 100, 1000 etc.) that will make 0.46 a whole number, this will explain:
Let x = 
10x = 
100x =
this is our perfect fraction, now we simplify later
100x - 10x = 
90x =
this is to confirm both fractions are equal
x is the same as
as
as
but here x =
because a fraction has to have no decimals.
So 0.46 is equal any of these values, as a fraction, on the other hand, it's improperly equal to
here I divided by 2 to bring down the proper fraction. (fraction at its simplest form)
I think the expression that you need is, 4-(2x). Hope it helps!
Hello there,
(1) $7934.37
interest would be $2934.37
(2) $2593.74
interest would be $1593.74
(3) $1469.33
interest would be $469.33
(4) $1296.87
interest would be $796.87
(5) $239.66
interest would be $139.66
(6) $4660.96
interest would be $3660.96
Hope I Helped!
-Char
Answer:
the 3rd one
Step-by-step explanation:
I just think