Nolan is following his family's macaroni and cheese recipe. The recipe calls for 6 cups of shredded cheese and 4 tablespoons of
1 answer:
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Answer:
(a) and
are indeed mutually-exclusive.
(b) , whereas
.
(c) .
(d) , whereas
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.
By the definition of conditional probability:
.
Rearrange to obtain:
.
Similarly:
.
Note that:
.
In other words, and
are collectively-exhaustive. Since
and
are collectively-exhaustive and mutually-exclusive at the same time:
.
By Bayes' Theorem:
.
Similarly:
.
Answer:
5.29 * 10^-5 is written as scientific notation.
For example:
9200 ---> 9.2 * 10³
123000 ---> 1.23 *
8640000 ---> 8.64 *
where first number/letter should be between 1 - 10.