The reading speed for seventh-grade students is approximately normal, with a mean speed of 130 words per minute and a standard deviation of 25 words per minute. For each of the questions below, your written work must show a sketch of the distribution with the mean and standard deviation clearly marked, shading of the area to which the answer refers, and the calculator steps used to answer each question. Round answers to three decimal places. (a) Find the probability that a randomly selected seventh-grade student reads less than 100 words per minute. (b) Find the probability that a randomly selected seventh-grade student reads more than 150 words per minute. (c) Find the probability that a randomly selected seventh-grade student reads between 115 and 140 words per minute. (d) What is the reading speed of a seventh-grade student whose reading speed is in the 90th percentile