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A sample of final exam scores is normally distributed with a mean equal to 23 and...

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Question

Basic Math

A sample of final exam scores is normally distributed with amean equal to 23 and a variance equal to 16.

Part (a)

What percentage of scores are between 19 and 27? (Round youranswer to two decimal places.)

Part (b)

What raw score is the cutoff for the top 10% of scores? (Roundyour answer to one decimal place.)

Part (c)

What is the proportion below 17? (Round your answer to fourdecimal places.)

Part (d)

What is the probability of a score less than 29? (Round youranswer to four decimal places.)

Answer & Explanation Solved by verified expert
4.0 Ratings (684 Votes)
GIVENLet X represents the final examscores is normally distributed with a mean and avariance Thus standard deviation FORMULAUSEDTo calculate the probability we willconvert the raw score X into standard score Z using the formulagiven bySOLUTIONPART a    See Answer
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