Answer:
a. 16.41%
b. 68.57%
Step-by-step explanation:
We have that the poisson formula is as follows:
P (x = x) = (e ^ l) * (l ^ x) / x!
In this case l = 5.3
a. 4 exactly therefore x = 4, replacing:
P (x = 4) = (e ^ 5.3) * (5.3 ^ 4) / 4!
P (x = 4) = 0.1641
That is, the probability is 16.41%
b. between 2 and 6 complaints.
P (2 <= x <= 6) = P (x = 2) + P (x = 3) + P (x = 4) + P (x = 5) + P (x = 6)
replacing:
P (2 <= x <= 6) = (e ^ 5.3) * (5.3 ^ 2) / 2! + (e ^ 5.3) * (5.3 ^ 3) / 3! + (e ^ 5.3) * (5.3 ^ 4) / 4! + (e ^ 5.3) * (5.3 ^ 5) / 5! + (e ^ 5.3) * (5.3 ^ 6) / 6!
P (2 <= x <= 6) = 0.6857
In other words, the probability is 68.57%
Answer:
159 degrees
Step-by-step explanation:
If the entire line is 180 degrees then it is just,
180 - 21 = 159
Answer:
The distance from the house to the school is 500 units
Step-by-step explanation:
The distance we want to calculate represents the hypotenuse of the right triangle
So, to use the Pythagoras’ theorem, we need the two other side lengths apart from the hypotenuse
The base side measures (350-50 = 300 units)
The measure of the height is (450-50 = 400 units)
Mathematically, the theorem states that the square of the hypotenuse equals the sum of the squares of the two other sides
Thus, we have it that;
h^2 = 300^2 + 400^2
h^2 = 90,000 + 160,000
h^2 = 250,000
h = √250,000
h = 500 units
Since there are no choices, the answers to the missing word in the blank is open. I think it is a type of statistic. With that being said, it would be best to introduce the type of statistics. Statistics could either be numerical or categorical. Numerical data pertains to quantitative data; categorical data pertains to classification of data. Both can be represented by numbers, but categorical data does not have have any value. It is only used for classifying categories. <em>Since this data has a significant value, this is a numerical data.</em>