The reading speed of sixth-grade students is normal, with a mean speed of 125 words per minute and a standard deviation of 24 words per minute. Note: For parts (a)-(d), round your answer to 4 decimal places. For part (e), round your answer to nearest whole number. (a) What is the probability that a randomly selected sixth-grade student reads less than 105 words per minute? (b) What is the probability that a randomly selected sixth-grade student reads more than 145 words per minute? (c) What is the probability that a randomly selected sixth-grade student reads between 105 and 135 words per minute?

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