Question

The amount of time it takes for a student to complete a statistics exam is given by a random variable that is uniformly distributed between 32 and 65 minutes. A student is selected at random. Find the probability of the following events. In each case, give exact answers or round to at least three decimal places.

1. The student’s time was between 38 and 44 minutes

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2. The student’s time was less than 38 minutes

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3. The student’s time was between 44 and 75 minutes

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4. The student’s time was more than 46 minutes

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5. The student’s time was between 26 and 46 minutes

IQ scores among recent college graduates have a mean of 104.7 and standard deviation of 12.9.

1. A recent college graduate with an IQ score of 140 has a standardized score of

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2. A recent college graduate with an IQ score of 78 has a standardized score of

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3. A standardized IQ score of z = 1.84 corresponds to an actual IQ score of

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4. A standardized IQ score of z = -2.39 corresponds to an actual IQ score of

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Answer 1

For first sum answers are round to 5 decimals.

For second sum first 2 parts are round to 5 decimals. The rest are round to nearest whole number.