Scores on an examination are assumed to be normally distributed with mean 78 and
Chapter 4, Problem 4.74(choose chapter or problem)
Scores on an examination are assumed to be normally distributed with mean 78 and variance 36. a What is the probability that a person taking the examination scores higher than 72? b Suppose that students scoring in the top 10% of this distribution are to receive an A grade. What is the minimum score a student must achieve to earn an A grade? c What must be the cutoff point for passing the examination if the examiner wants only the top 28.1% of all scores to be passing? d Approximately what proportion of students have scores 5 or more points above the score that cuts off the lowest 25%? e Applet Exercise Answer parts (a)(d), using the applet Normal Tail Areas and Quantiles. f If it is known that a students score exceeds 72, what is the probability that his or her score exceeds 84?
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