another way to name 1/4 is a quarter because 1/4 of 100 is 25 %, so that's why it is called a quarter.
hopefully this helps you :)
Answer:3.215
Step-by-step explanation:
Answer: 28 inches
Step-by-step explanation:
Answer:
(a)
and
are indeed mutually-exclusive.
(b)
, whereas
.
(c)
.
(d)
, whereas ![P(A_1 \; |\; B) = \displaystyle \frac{4}{9}](https://tex.z-dn.net/?f=P%28A_1%20%5C%3B%20%7C%5C%3B%20B%29%20%3D%20%5Cdisplaystyle%20%5Cfrac%7B4%7D%7B9%7D)
Step-by-step explanation:
<h3>(a)</h3>
means that it is impossible for events
and
to happen at the same time. Therefore, event
and
are mutually-exclusive.
<h3>(b)</h3>
By the definition of conditional probability:
.
Rearrange to obtain:
.
Similarly:
.
<h3>(c)</h3>
Note that:
.
In other words,
and
are collectively-exhaustive. Since
and
are collectively-exhaustive and mutually-exclusive at the same time:
.
<h3>(d)</h3>
By Bayes' Theorem:
.
Similarly:
.