52. Let X denote the number of flaws along a 100-m reel of magnetic tape (an integer-valued...

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52. Let X denote the number of flaws along a 100-m reel of magnetic tape (an integer-valued variable). Suppose X has approximately a normal distribution with  25 and  5. Use the continuity correction to calculate the probability that the number of flaws is

a. Between 20 and 30, inclusive.

b. At most 30. Less than 30.

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