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Brut [27]
3 years ago
13

What’s the answer please

Mathematics
2 answers:
barxatty [35]3 years ago
6 0

Answer:

answer. option c....

Step-by-step explanation:

option c

neonofarm [45]3 years ago
4 0

Answer:

option c. complementary.

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Answer:

17.3 cigarettes represent the 35th percentile

Step-by-step explanation:

Problems of normally distributed samples are solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the zscore of a measure X is given by:

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

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

In this problem, we have that:

\mu = 20, \sigma = 7

What number of cigarettes would represent the 35th percentile?

This is the value of X when Z has a pvalue of 0.35. So it is X when Z = -0.385.

So

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

-0.385 = \frac{X - 20}{7}

X - 20 = -0.385*7

X = 17.3

17.3 cigarettes represent the 35th percentile

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