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2 years ago

Assuming a linear relationship between x and y, if the coefficient of correlation (r) equals -0.75, this means that:

1 answer:

6 0

Since we are given that the relationship between x and y is linear. Therefore this means that the given equation takes the form of:

y = m x + b

where,

b is the y intercept of the equation

m is the slope of the equation

However we should take note that the slope m is directly proportional to the coefficient of correlation. Since our coefficient of correlation is negative, this only means that the value of y is decreasing with increasing x, hence plot of y and x is descending with increasing x. Furthermore, this also tells that for every 1 unit increase of x, there is a 0.75 units decrease of y.

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certain computer virus can damage any file with probability 35%, independently of other files. Suppose this virus enters a folde

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Answer:

0.623 is the probability that between 800 and 850 files get damaged.

Step-by-step explanation:

We are given the following information:

We treat virus can damage computer as a success.

P( virus can damage computer) = 35% = 0.35

The conditions for normal distribution are satisfied.

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$\mu = np = 2400(0.35) = 840\\\sigma = \sqrt{np(1-p)} = \sqrt{2400(0.35)(1-0.35)} = $$23.36$

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$P(800 \leq x \leq 850) = P(\displaystyle\frac{800 - 840}{23.36} \leq z \leq \displaystyle\frac{850-840}{23.36}) = P(-1.712 \leq z \leq 0)\\\\= P(z \leq 0.428) - P(z < -1.712)\\= 0.666 - 0.043 = 0.623 = 62.3\%$

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