At a school event there were 96 girls .the ratio of number of girls to the number of boys was 4:5

Mathematics

1 answer:

valina [46]3 years ago

8 0

144, 4:6 simplifies to 2:3, if you divide 96 by 2 you get 48, and 48 x 3 = 144

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Over the past decade, the mean number of hacking attacks experienced by members of the Information Systems Security Association

fredd [130]

Answer:

$P(X>600)=P(\frac{X-\mu}{\sigma}>\frac{600-\mu}{\sigma})=P(Z>\frac{600-510}{14.28})=P(z>6.302)$

And we can find this probability using the complement rule and the normal standard distribution and we got:

$P(z>6.302)=1-P(z$

Step-by-step explanation:

Previous concepts

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".

Solution to the problem

Let X the random variable that represent the number of attacks of a population, and for this case we know the distribution for X is given by:

$X \sim N(510,14.28)$