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HMK4.docx - MGSC 2301 – Statistics HMK#4 – Chapter 5 –...

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MGSC 2301 – StatisticsHMK#4 – Chapter 5 – Discrete Probability Distributions(12 questions, 35 sub questions, around 3 points each)1.Consider the following discrete probability distribution.x15223440P(X=x)0.160.500.200.14a.Is this a valid probability distribution?
b.What is the probability that the random variableXis less than 40?(Round your answer to 2decimal places.)
c.What is the probability that the random variableXis between 14 and 29?(Round your answer to2 decimal places.)
d.What is the probability that the random variableXis greater than 17?(Round your answer to 2decimal places.)
2.Consider the following cumulative probability distribution.x012345P(Xx)0.120.350.450.680.85 1a.CalculateP(X≤ 3).(Round your answer to 2 decimal places.)
b.CalculateP(X= 4).(Round your answer to 2 decimal places.)
c.CalculateP(1 ≤X≤ 3).(Round your answer to 2 decimal places.)
3.A basketball player is fouled while attempting to make a basket and receives two free throws.

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