<span>(B)rational
if there were no discernible pattern in the digits, then it would be irrational</span>
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.
<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:
.
4 pound of oats twice a day= 8 pounds of oats each day per horse. He has 4 horses so 4 horses times 8 pounds of oats is 32. You multiply 32 pounds times the three days he has to feed which is 96 pounds.
Answer:
(2,6)
Step-by-step explanation:
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