The Poisson distribution defines the probability of k discrete and independent events occurring in a given time interval.
If λ = the average number of event occurring within the given interval, then
For the given problem,
λ = 6.5, average number of tickets per day.
k = 6, the required number of tickets per day
The Poisson distribution is
The distribution is graphed as shown below.
Answer:
The mean is λ = 6.5 tickets per day, and it represents the expected number of tickets written per day.
The required value of k = 6 is less than the expected value, therefore the department's revenue target is met on an average basis.
Answer:
Some of the Exponents = -2 that is true, not 2.
Step-by-step explanation:
Let's check one at a time.
(a)The 6 without an exponent is equivalent to the 6 having a 0 exponent.
and 
= 6 (no exponent. 6 
1 therefore this statement is False.
(b)The sum of the exponents is -2.
let's check , if the base is same we can add the exponents that is the exponent rule.(well established).
if we add exponents in the given expression we get.
, therefore we can see that the sum of the exponents = -2 this is true.
(c) An equivalent expression is 65.6-7, lets evaluate our above expression, it is equal to 
which we can see that 
,therefore this statement is false as well.
Answer and Explanation:
Her alternative hypothesis is that there is some difference between the means of the ages of the audiences of the two television programs. That is, the mean ages of the two audiences are not the same.
If the mean of the ages of the audiences of television programme 1 (COPS) is xbar₁
And the mean of the ages of the audiences of the television programme 2 (60 minutes) is xbar₂
Her alternative hypothesis can be represented mathematically as
xbar₁ - xbar₂ ≠ 0
That is basically splitting the sentence so that it’s easier for you to solve it. It’s basically the same thing
By Euler's method the <em>numerical approximate</em> solution of the <em>definite</em> integral is 4.189 648.
<h3>How to estimate a definite integral by numerical methods</h3>
In this problem we must make use of Euler's method to estimate the upper bound of a <em>definite</em> integral. Euler's method is a <em>multi-step</em> method, related to Runge-Kutta methods, used to estimate <em>integral</em> values numerically. By integral theorems of calculus we know that definite integrals are defined as follows:
∫ f(x) dx = F(b) - F(a) (1)
The steps of Euler's method are summarized below:
- Define the function seen in the statement by the label f(x₀, y₀).
- Determine the different variables by the following formulas:
xₙ₊₁ = xₙ + (n + 1) · Δx (2)
yₙ₊₁ = yₙ + Δx · f(xₙ, yₙ) (3) - Find the integral.
The table for x, f(xₙ, yₙ) and y is shown in the image attached below. By direct subtraction we find that the <em>numerical</em> approximation of the <em>definite</em> integral is:
y(4) ≈ 4.189 648 - 0
y(4) ≈ 4.189 648
By Euler's method the <em>numerical approximate</em> solution of the <em>definite</em> integral is 4.189 648.
To learn more on Euler's method: brainly.com/question/16807646
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