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The partially completed table that follows shows the distribution of scores on the2016

AP庐 Statistics exam.

Suppose we randomly select a student who took this exam. What鈥檚 the probability that he

or she earned a score of at least3?

a.0.249

b.0.361

c.0.390

d.0.466

e.0.610

Short Answer

Expert verified

The probability that he or she has earned a score of at least three is (e).0.610.

Step by step solution

01

Given Information

We are given the scores and the probability that one probability of score is missing, and we have to find out the probability that he or she has earned a score of at least three.

02

Explanation

In the given table, scores and probabilities are given but one probability is missing, as the sum of total probabilities is one.

So, we get PT=1where P(T) is the sum of all probability given

Putting the values we get,0.235+0.155+0.249+0.217+x=1

which states x=0.144,

So, now we have all probabilities.

03

Simplify

The probability of scoring at least three will be the sum of all probabilities greater than3including itself.

P(3)=0.249, P(4)=0.217,and P(5)=0.144.

As, the P(T)=P(3)+P(4)+P(5)

On solving we get ,P(T)=0.610.

Hence, the probability of scoring at least three is0.610.

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