4. (25 points) X has a normal distribution with a mean of 52 and standard deviation 3.5. (a) (5 points) Determine P(X being at least 51) (b) (5 points) Determine P(X more than 53 or less than 50). (c) (5 points) Determine a value for X so that the probability of X being not less than that value is 0.30. (d) (5 points) What is the probability of X having a value between 54 and 55? (e) (5 points) What is the probability of X being at least 51?

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