Problem 3: (30pts) In a recent year, grade 8 Washington State…Problem 3: (30pts) In a recent year, grade 8 Washington State public schools students taking a mathematics assessment test had a mean score of 281 with a standard deviation of 34.4.Possible test scores could range from 0 to 500. Assume that the scores are normally distributed.What is the lowest score that still place a student in the top 15% of the scores?Fin the probability that a student had a score higher than 350.Find the probability that a student had a score between 250 and 315.If 1500 students are randomly selected, how many would be expected to have a score between 250 and 315?A random sample of 16 students is drawn from this population, what is the probability that the mean score is greater than 300? MathStatistics and Probability MAT 311
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