A fisherman can row upstream at 5mph and downstream at 10mph he started rowing upstream until he got tired and then rowed downst
1 answer:
We have been given that the upstream speed is and the down stream speed is
.
Let the fisherman traveled a distance of x miles.
The total time of the trip is 6 hours.
Relations between speed (s), time (t) and distance (d) is
Hence,
Time upstream + time downstream = 6
lcm = 10
=>
Cross multiplying,
x = 20 miles .. Answer.
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Answer:
(a) The probability that both Dave and Mike will show up is 0.25.
(b) The probability that at least one of them will show up is 0.75.
(c) The probability that neither Dave nor Mike will show up is 0.25.
Step-by-step explanation:
Denote the events as follows:
<em>D</em> = Dave will show up.
<em>M</em> = Mike will show up.
Given:
It is provided that the events of Dave of Mike showing up are independent of each other.
(a)
Compute the probability that both Dave and Mike will show up as follows:
Thus, the probability that both Dave and Mike will show up is 0.25.
(b)
Compute the probability that at least one of them will show up as follows:
P (At least one of them will show up) = 1 - P (Neither will show up)
Thus, the probability that at least one of them will show up is 0.75.
(c)
Compute the probability that neither Dave nor Mike will show up as follows:
Thus, the probability that neither Dave nor Mike will show up is 0.25.
The probability of a negative result for a batch will be "0.3487".
Given values are:
Positivity rate,
- p = 10% or, 0.1
Batch size,
- n = 10
Now,
The probability of negative result will be:
→
By substituting the values, we get
→
→
→
Thus the answer above is right.
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