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3 years ago

Helpppp please can somebody please explain this to me.

Mathematics

1 answer:

katen-ka-za [31]3 years ago

8 0

Answer:

this is simple once you get the hang of it!! as you see in the chart they gave you, 1=3.15, meaning you graph it (1, 3.15) and so on. all you do is multiply each number (for example, 4) times 3.15 and (4x3.15=6). so 3.15 times all the x-axis numbers and graph it (x, y).. hope this makes sense :)

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<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.

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$\mu = 2.5, \sigma = 0.5$

The probability that a randomly selected cyclist will take at least 2.45 hours to complete the race is <u>one subtracted by the p-value of Z when X = 2.45</u>, hence:

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

$Z = \frac{2.45 - 2.5}{0.5}$

Z = -0.1

Z = -0.1 has a p-value of 0.4602.

1 - 0.4602 = 0.5398.

0.5398 = 53.98% probability that a randomly selected cyclist will take at least 2.45 hours to complete the race.

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

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