I need help with these three word problems. Thank you.

A researcher believes that about 74% of the seeds planted with the aid of a new chemical fertilizer will germinate. He chooses a random sample of135 seeds and plants them with the aid of the fertilizer. Assuming his belief to be true. approximate the probability that more than 99 of the 135 seeds will germinate. Us the normal approximation to the binomial with a correction for continuity. Round your answer to at least three decimal places. Do not round any intermediate steps. [If necessary, consult a list of formulas.) [ll lxs'? For a standardized psychology examination intended for psychology majors, the historical data show that scores have a mean of S20 and a standard deviation 01 175. The grading process of this year's exam has just begun. The average score of the 35 exams graded so far is 524. what is the probability that a sample of 35 exams will have a mean score of 524 or more if the exam scores follow the same distribution as in the past? Carry your intermediate computations to at least four decimal places. Round your answer to at least three decimal places. A nationwide test taken by high school sophomores and juniors has three sections. each scored on a scale of 20 to 80. In a recent year, the national mean score for the writing section was 473, with a standard deviation of 10.0. Based on this information, complete the following statements about the distribution of the scores on the writing section for the recent year. (3} According to Chebyshev's theorem, at lelst; If the x b 9 scores lie between 27.3 and 57.3. E (b) According to Chebyshev's theorem, at least 3 (about 99%) of the scores lie between [I and I1 (Round your answerto 1 decimal place.)