Since there are two events happening simultaneously (windy and no sun), we can apply the concept of conditional probability here.
P(A|B) = P(A∩B)/P(B)
where it means that given B is happening, the probability that A is happening as well is the ratio of the chance for A and B to happen simultaneously over the chance of B to happen.
For our case, this can be interpreted as
P(A|B): it is the probability that it is windy (A) GIVEN that there is no sun (B)
P(A∩B) : chance of wind and no sun
P(B) : chance that there is no sun tomorrow
The chance of P(A∩B) is already given as 20% or 0.20. Since there is 10% or 0.10 chance of sun, then chances of having no sun tomorrow is (1-0.10) = 0.90.
Thus, we have P(A|B) = 0.2/0.9 ≈ 0.22 or 22%.
So, answer is B: 22%<span>.</span>
Answer:
B. How many total customers were at the story today?
Step-by-step explanation:
Option 'B' is not a statistical question because there is not more than one answer.
There is only one answer to this question.
Option 'A,' 'C,' and 'D' are statistical questions because there is more than one answer.
<em>What amounts did each person at the store spend on their purchase?</em>
This question has more than one answer.
<em>How long did each customer spend shopping at the store?</em>
<em>What are the heights of each customer who entered the store?</em>
These questions have more than one answer as well.
Statistical questions are questions that have more than one answer. This means you can collect data.
I, therefore, believe that option 'B' is not a statistical question.
Answer:
The right answer is "0.3193".
Step-by-step explanation:
According to the question,
Mean,
![\frac{1}{\lambda} = 13](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B%5Clambda%7D%20%20%3D%2013)
![\lambda = \frac{1}{13}](https://tex.z-dn.net/?f=%5Clambda%20%3D%20%5Cfrac%7B1%7D%7B13%7D)
As we know,
The cumulative distributive function will be:
⇒ ![1-e^{-\lambda x}](https://tex.z-dn.net/?f=1-e%5E%7B-%5Clambda%20x%7D)
hence,
In the first 5 years, the probability of failure will be:
⇒ ![P(X](https://tex.z-dn.net/?f=P%28X%3C5%29%3D1-e%5E%7B-%5Clambda%5Ctimes%205%7D)
![=1-e^{-(\frac{1}{13} )\times 5}](https://tex.z-dn.net/?f=%3D1-e%5E%7B-%28%5Cfrac%7B1%7D%7B13%7D%20%29%5Ctimes%205%7D)
![=1-e^(-\frac{5}{13})](https://tex.z-dn.net/?f=%3D1-e%5E%28-%5Cfrac%7B5%7D%7B13%7D%29)
![=1-0.6807](https://tex.z-dn.net/?f=%3D1-0.6807)
![=0.3193](https://tex.z-dn.net/?f=%3D0.3193)
Step-by-step explanation:
14 - 10 1/6
14 - 10.16
= 3.84