A leaking bucket is filled to 3/4 capacity. After some time, 1/2 of the water has leaked out. What fraction of the water leaked
1 answer:
You might be interested in
So firstly, I'm going to be converting the mixed number into an improper fraction. To do this, multiply the whole number by the denominator and then add that product with the numerator and that will be your new numerator. In this case:
3 × 8 = 24, 24 + 3 = 27.
Now since they have the same denominator, you can subtract the numerators.
Now simplify the number as such:
<u>In short, your answer is -17/4, or -4 1/4.</u>
Answer:
a) The mean number of cases is 0.14608 cases.
b) The probability that the number of cases is exactly 0 or 1 is 0.990.
c) The probability of more than one case is 0.010
d) No, because the probability of more than one case is very small
Step-by-step explanation:
We can model this problem with a Poisson distribution, with parameter:
a) The mean amount of cases is equal to the parameter λ=0.14608.
b) The probability of having 0 or 1 cases is:
c) The probability of more than one case is:
d) The cluster of 4 cases can not be due to pure chance, as it is a very high proportion of cases according to the average rate. Just having more than one case has a probability of 1%.