Answer:
10
Step-by-step explanation:
Rate of drainage for pump A and B = [1 pool drained]/[6 hours]
Rate of drainage for pump A (older pump) = [1 pool drained]/[15 hours]
Rate for pump B (newer pump) = [1 pool drained]/[t hours]
Thus, adding the rate of drainage of A and B,
1/t + 1/15 = 1/6
t=10
The probability is 0.5
rounded off is just 0.50
Answer:
0.18203 = 18.203% probability that exactly four complaints will be received during the next eight hours.
Step-by-step explanation:
We have the mean during a time-period, which means that the Poisson distribution is used to solve this question.
In a Poisson distribution, the probability that X represents the number of successes of a random variable is given by the following formula:

In which
x is the number of sucesses
e = 2.71828 is the Euler number
is the mean in the given interval.
A service center receives an average of 0.6 customer complaints per hour.
This means that
, in which h is the number of hours.
Determine the probability that exactly four complaints will be received during the next eight hours.
8 hours means that
.
The probability is P(X = 4).


0.18203 = 18.203% probability that exactly four complaints will be received during the next eight hours.
1/3 Probability both are red
red picked first:
6/10
red picked second:
5/9 (9 as first red marble not replaced so 5 red marbles remaining and 4 blue marbles still)
6/10 * 5/10 = 1/3
Hope that helps!!