If Z is a standard normal variable find the probability. The probability that Z lies between -0.558 and 0.558

Mathematics

1 answer:

Debora [2.8K]3 years ago

7 0

Answer:

0.4245

Step-by-step explanation:

The probability that Z lies between -0.558 and 0.558 can be written as;

P(-0.558 < z < 0.558) = P(z < 0.558) - P(z < -0.558)

Using z - distribution table, we have;

P(z < 0.558) = 0.7122

P(z < -0.558) = 0.2877

Thus;

P(z < 0.558) - P(z < -0.558) = 0.7122 - 0.2877 = 0.4245

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if y varies inversely with x and the constant of variation is 4.5 what are the values missing in the table

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Seems like you forgot to attach the table.
For this reason, I will explain how to solve this question and you can apply using the numbers in your table.

We are given that:
y is inversely proportion to x. This means that as y decreases, x increases and vice versa.
Writing this into equation, we would get:
y = c/x where c is the constant of proportionality.
Now, we have the constant of proportionality given as 4.5.
This means that the equation that relates x and y is:
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So, to fill in the table, we would substitute with the given x or y in the equation above and solve for the other variable.

Examples:
If given that x=2, then:
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Hope this helps :)

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3 years ago

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