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.
To find the unit rate we will divide the amount of dollars ($13.20) by the amount of bowls (6). Then we will check our work. lets do it:-
13.20 ÷ 6 = 2.20
$2.20 per bowl
CHECK OUR WORK:-
2.20 × 6 = 13.20
we were RIGHT!!
So, the unit rate in dollars for, Melinda bought 6 bowls for $13.20 is, $2.20 per bowl.
Hope I helped ya!! xD
Answer:
44.1036585366
Step-by-step explanation:
Answer:
13.24
Step-by-step explanation:
If you put it into the calculator, you get the answer. Or you could do long division, but that's difficult for no reason. You could also divide each number individually by 2, as they are all even, so that works too.
Hope this helps!