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3 years ago

What is the probability of spinning a 2 and flipping tails

Mathematics

1 answer:

Dimas [21]3 years ago

3 0

If you mean getting a 2 on a dice then the answer would be
4/6 or 2/3

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Mrs. Barlow's math class took a test yesterday. Out of 80 students, 70% of them passed. How many of Mrs. Barlow's students passe

likoan [24]

Answer:

B.56

Step-by-step explanation:

80x0.70 is 56

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2 years ago

what is the simplified expression of the following polynomial: xy4 + 5y7 - (6xy + 7y7) - x8y2 + (-3xy4) Step by Step

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Answer:

-x^8y^2 -2y^7 -2xy^4 -6xy

Step-by-step explanation:

Eliminate parentheses.

xy^4 + 5y^7 - 6xy - 7y^7 - x^8y^2 -3xy^4

Arrange in descending degree order, group like terms.

-x^8y^2 +(5y^7 -7y^7) +(xy^4 -3xy^4) -6xy

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2 years ago

What is the appropriate metric unit for measuring the capacity of a water cooler?

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3 years ago

Read 2 more answers

Wires manufactured for use in a computer system are specified to have resistances between 0.11 and 0.13 ohms. The actual measure

Marina CMI [18]

Answer:

a) $P(0.11$

And we can find this probability with this difference and with the normal standard table or excel:

$P(-1.11$

b) $P(0.11 < \bar X < 0.13)$

And we can use the z score defined by:

$z = \frac{\bar X -\mu}{\frac{\sigma}{\sqrt{n}}}$

And using the limits we got:

$z = \frac{0.11-0.12}{\frac{0.009}{\sqrt{4}}}= -2.22$

$z = \frac{0.13-0.12}{\frac{0.009}{\sqrt{4}}}= 2.22$

And we want to find this probability:

$P(-2.22< Z$

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".

Part a

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

$X \sim N(0.12,0.009)$

Where $\mu=0.12$ and $\sigma=0.009$

We are interested on this probability

$P(0.11$

And the best way to solve this problem is using the normal standard distribution and the z score given by:

$z=\frac{x-\mu}{\sigma}$

If we apply this formula to our probability we got this:

$P(0.11$

And we can find this probability with this difference and with the normal standard table or excel:

$P(-1.11$

Part b

We select a sample size of n =4. And since the distribution for X is normal then we know that the distribution for the sample mean $\bar X$ is given by: