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Viktor [21]
2 years ago
15

Gina and Stewart are surf-fishing on the Atlantic coast, where both bluefish and pompano are

Mathematics
1 answer:
viktelen [127]2 years ago
8 0

Using the normal distribution, it is found that due to the greater z-score, Stewart caught the longer fish relative to the same specie.

<h3>Normal Probability Distribution</h3>

The z-score of a measure X of a normally distributed variable with mean \mu and standard deviation \sigma is given by:

Z = \frac{X - \mu}{\sigma}

  • The z-score measures how many standard deviations the measure is above or below the mean.
  • Looking at the z-score table, the p-value associated with this z-score is found, which is the percentile of X.

To find who caught the longer fish relative to the same specie, we need to find out who had the higher z-score.

Stewart caught a bluefish with a length of 322 mm, hence the parameters are as follows:

X = 322, \mu = 267, \sigma = 39

The z-score is:

Z = \frac{X - \mu}{\sigma}

Z = \frac{322 - 267}{39}

Z = 1.41

Gina caught a pompano with a length of 176 mm, hence the parameters are as follows:

X = 176, \mu = 155, \sigma = 28

The z-score is:

Z = \frac{X - \mu}{\sigma}

Z = \frac{176 - 155}{28}

Z = 0.75.

Hence Stewart caught the longer fish relative to the same specie.

More can be learned about the normal distribution at brainly.com/question/4079902

#SPJ1

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