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please solve it in 20 mins I will thumb you up please solve please fasttt A lucky draw involves rolling a six-sided dice. If you

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please solve it in 20 mins I will thumb you up please solve please fasttt

A lucky draw involves rolling a six-sided dice. If you roll a 6 , you will win $300. If you roll a 5 , you will win $120. If you roll a 3 or 4 , you will win $60. However, if you roll a 1 or 2 , you will not win anything. Let X be a random variable representing the amount that you will win. (a) What is the expectation of X ? (b) What is the variance of X ? (c) If you have won some money in the lucky draw, what is the probability that you have won at least $120

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