The drive distance (in yards) for professional golfers is normally distributed with a mean of 308.04 yards and a standard deviation of 14.383 yards. What percentage of golfers has a drive distance between 280 and 305 yards? z1 = z2 = percentage=

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The drive distance (in yards) for professional golfers is normally distributed with a mean of 308.04 yards and a standard deviation of 14.383 yards. What percentage of golfers has a drive distance between 280 and 305 yards?

z1 =

z2 =

percentage=

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Step 1

The normal distribution:

A continuous random variable X is said to follow normal distribution with mean µ and standard deviation σ if the probability density function of X is,

Step 2

Calculating the indicated distance:

The drive distance for professional golfers is normally distributed with mean 308.04 and standard deviation of 14.383. The required z-scores can be calculated as follows:

...

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