Given a random variable X following normal distribution withmean of -3 and standard deviation of 4. Then random variableY=0.4X+5 is also normal.
(1)Find the distribution of Y, i.e. μy,σy
(2)Find the probabilities P(−4(3)Find the probabilities P(−4(4)Find the 53th percentile of the distribution of X
(3)Find the probabilities P(−4(4)Find the 53th percentile of the distribution of X
(4)Find the 53th percentile of the distribution of X
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