By definition of conditional probability,
P(B | A) = P(A ∩ B)/P(A) = (13/25) / (13/20) = 20/25 = 4/5
The given statement can be represented as :
where, the number is assumed to be " b "
therefore, the correct choice is B. 2b³ - b
Using an exponential function, it is found that:
a)
b) 37.5 grams of the gas remains after 3.8 days.
c) The amount remaining will be of 10 grams after approximately 11 days.
<h3>What is an exponential function?</h3>
A decaying exponential function is modeled by:
In which:
- A(0) is the initial value.
- r is the decay rate, as a decimal.
Item a:
We start with 75 grams, and then work with a half-life of 3.8 days, hence the amount after t daus is given by:
Item b:
This is N when t = 3.8, hence:
37.5 grams of the gas remains after 3.8 days.
Item c:
This is t for which N(t) = 10, hence:
The amount remaining will be of 10 grams after approximately 11 days.
More can be learned about exponential functions at brainly.com/question/25537936
Answer:
A conditional probability of an event is a probability obtained with knowledge that some other event has already occurred.
Step-by-step explanation:
Conditional probability of an event (A) is a probability obtained with knowledge that some other event (B) has already occurred and is denoted as P(A|B).
It satisfies the following equation:
where P(A and B) is the probability of A and B occurring together.
Conditional probability is applied in many areas of Bayesian statistics and machine learning.