3.6 customers x customers
-------------------- = ----------------
.5 hours 7.5 hours
using cross products
3.6 * 7.5 = x * .5
divide by .5 on each side
3.6 * 7.5 / .5 =x
54 =x
You can help 54 customers
D is the best choice because y would be the total amount of money he would have to pay. X would be the amount of hours he uses the phone and the hourly fee is 23 so it would be 23x. the flat fee was 16 so you just add that on to the hourly fee. The whole equation should be y = 23x + 16
Answer:
(a) The probability that during the next hour less than 3 patients will be admitted is 0.00623.
(b) The probability that during the next two hours exactly 8 patients will be admitted is 0.00416.
Step-by-step explanation:
<u>The complete question is:</u> General Hospital has noted that they admit an average of 8 patients per hour.
(a) What is the probability that during the next hour less than 3 patients will be admitted?
(b) What is the probability that during the next two hours exactly 8 patients will be admitted?
The above situation can be represented through Poisson distribution as it includes the arrival rate of the pattern. So, the probability distribution of the Poisson distribution is given by;

Here X = Number of patients admitted in the hospital
= arrival rate of patients per hour = 9 patients
So, X ~ Poisson(
= 9)
(a) The probability that during the next hour less than 3 patients will be admitted is given by = P(X < 3)
P(X < 3) = P(X = 0) + P(X = 1) + P(X = 2)
=
=
= <u>0.00623</u>
(b) Here,
= 18 because we have to find the probability for the next two hours and we are given in the question of per hour.
So, X ~ Poisson(
= 18)
Now, the probability that during the next two hours exactly 8 patients will be admitted is given by = P(X = 8)
P(X = 8) =
= <u>0.00416</u>
NO!
Prove by contradiction. First, define the the following terms:
odd function: f(-x) = -f(x)] and domain: all values of x
Proof: Suppose there f(-x) = -f(x) such that x is a negative integer, then f(-x) is a positive number <em>(-(-x) = +x)</em> and -f(x) is a negative number <em>(negative of a positive number is a negative number). </em>Since a positive number cannot equal a negative number, then this is not possible.
Answer: No