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Based on the below table, answer the following question:xP(x)30.0540.4050.3060.1570.10 Find P (4<X<7)Question 3Answera.0.40b.0.95c.0.45

Question

Based on the below table, answer the following question:xP(x)30.0540.4050.3060.1570.10 Find P (4<X<7)Question 3Answera.0.40b.0.95c.0.45

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Solution

The probability P(4<X<7) is asking for the sum of the probabilities where X is greater than 4 and less than 7.

From the table, this includes the probabilities for X=5 and X=6.

P(5) = 0.30 and P(6) = 0.15

So, P(4<X<7) = P(5) + P(6) = 0.30 + 0.15 = 0.45

So, the answer is c. 0.45.

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