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makvit [3.9K]
3 years ago
9

Your backpack contains 3 blue pens and 2 black pens. You randomly choose one pen to give to a friend and then you randomly choos

e another pen to use yourself. What is the probability that both pens are blue
Mathematics
1 answer:
Nadusha1986 [10]3 years ago
6 0
Since there are 5 pens total, and three of those pens are blue, the probability for both pens being blue is 3/5.
(just like if the black pens were being chose the probability would be 2/5, since there are 5 pens total and 2 black pens.)<span />
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Step-by-step explanation:

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Answer:

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Step-by-step explanation:

When the distribution is normal, we use the z-score formula.

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

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In this question, we have that:

\mu = 120, \sigma = 5.6

Find the probability that the individual's pressure will be between 119.4 and 121.4mmHg

This is the pvalue of Z when X = 121.4 subtracted by the pvalue of Z when X = 119.4. So

X = 121.4

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

Z = \frac{121.4 - 120}{5.6}

Z = 0.25

Z = 0.25 has a pvalue of 0.5987

X = 119.4

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

Z = \frac{119.4 - 120}{5.6}

Z = -0.11

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