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###### Question 4: A dice is biased so that the probability mass function of the face value is as follows:face value probability mass function0.200.250.250.100.150.05Evaluate the expected value and standard deviation of the face value of the dice, if we roll it once. Discuss the result 6) If the dice is rolled once what is the probability that the face value is less than 32 What is the probability that the face value is larger than O equal to 22 Ifa dice is rolled twice, what is the probability mass fu

Question 4: A dice is biased so that the probability mass function of the face value is as follows: face value probability mass function 0.20 0.25 0.25 0.10 0.15 0.05 Evaluate the expected value and standard deviation of the face value of the dice, if we roll it once. Discuss the result 6) If the dice is rolled once what is the probability that the face value is less than 32 What is the probability that the face value is larger than O equal to 22 Ifa dice is rolled twice, what is the probability mass function of the average value of the faces?

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