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Xelga [282]
3 years ago
12

HELP MEEE!!!

Mathematics
1 answer:
DiKsa [7]3 years ago
8 0

Answer:

Step-by-step explanation:

since the data is already arranged in ascending to descending u don't have to change.

upper quartile (Q3) = 3(n + 1)/4              (n means no of data)

=3(10 + 1)/4

=3*11/4

=33/4

=8.25

=8 th term + 0.25(9 th term - 8 th term)

=11 + 0.25(13 - 11)

=11 + 0.25*2

=11 + 0.5

=11.5

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Find the probability that the senator was in the Democratic party, given that the senator was returning to office.
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Answer:

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Step-by-step explanation:

The complete question is:

Sophia made the following two-way table categorizing the US senators in 2015 by their political party and whether or not it was their first term in the senate.

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First Term           11                          28                        11                     50

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Total                   44                         54                        22                  120

Find the probability that the senator was in the Democratic party, given that the senator was returning to office.

Solution:

The conditional probability of an event <em>A</em> given that another event <em>X</em> has already occurred is given by:

P(A|X)=\frac{P(A\cap X)}{P(X)}

The probability of an event <em>E</em> is given by the ratio of the number of favorable outcomes to the total number of outcomes.

P(E)=\frac{n(E)}{N}

Compute the probability of selecting an US senator who is a Democratic and was returning to office as follows:

P(D\cap R)=\frac{33}{120}=0.275

Compute the probability of selecting an US senator who was returning to office as follows:

P(R)=\frac{70}{120}=0.5833

Compute the conditional probability, P (D | R) as follows:

P(D|R)=\frac{P(D\cap R)}{P(R)}

            =\frac{0.275}{0.5833}\\\\=0.4714555\\\\\approx 0.4715

Thus, the probability that the senator was in the Democratic party, given that the senator was returning to office is 0.4715.

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