Suppose the scores of students on a statistics course are normally distributed with a mean of 476 and a standard deviation of 85. what percentage of the students scored between 476 and 646 on the exam? (give your answer to 3 significant figures.)

47.72 %

Step-by-step explanation:

Given : The scores of students on a statistics course are normally distributed with a mean of and a standard deviation of .

Let x be the random variable that represents the scores of students on a statistics course .

z-score :

For x= 476

For x= 646

Now, the probability of the students scored between 476 and 646 on the exam will be :-

Hence, the percentage of the students scored between 476 and 646 on the exam = 47.72 %

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