According to national data, 20.7% of burglaries are cleared with

Harold Kessler

Harold Kessler

Answered question

2021-12-08

According to national data, 20.7% of burglaries are cleared with arrests. A new detective is assigned to six different burglaries. What is the probability that at least one of them is cleared with an arrest?

Answer & Explanation

habbocowji

habbocowji

Beginner2021-12-09Added 22 answers

Step 1
In this question we are going to use Binomial Probability Distribution to get the probability. We are using Binomial because Size of sample n and probability of event is fixed and each observation or event is independent of other.
Given:
Probability that Burglaries are cleared with arrest =0.207
n=6
Step 2
Probability that at least one of them is cleared with an arrest isd given on the whiteboard
p=0.207
n=6
P(X1)=1P(X=0)
P(X1)=1[6!0!(60)!×0.2070×(10.207)6]
P(X1)=10.24868
P(X1)=0.75132
Step 3
Answer: Probability that at least one of them is cleared with an arrest =0.75132

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