BRAINLIEST ANSWER
2 answers:
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Looks like you just evaluated the summand for the given value of 
, whereas the question is asking you to find the value of the sum for the first terms.
Let
. Then 
is the 
th partial sum.
happens to be the first term in the series, which is why that box is marked correct:
But the next partial sum is not correct:
and this is not the same notion as the second term (which indeed is 0.75) in the series.
Let
But the next partial sum is not correct:
and this is not the same notion as the second term (which indeed is 0.75) in the series.
Answer:
26.95% probability that at least one of them is cleared with an arrest
Step-by-step explanation:
For each burglary, there are only two possible outcomes. Either it is cleared, or it is not. The probability of a burglary being cleared is independent of other burglaries. So we use the binomial probability distribution to solve this question.
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.
In which is the number of different combinations of x objects from a set of n elements, given by the following formula.
And p is the probability of X happening.
5.1% of burglaries are cleared with arrests.
This means that
A new detective is assigned to six different burglaries.
This means that
What is the probability that at least one of them is cleared with an arrest?
Either none are cleared, or at least one is. The sum of the probabilities of these events is 100% = 1. So
We want
Then
In which
26.95% probability that at least one of them is cleared with an arrest