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earnstyle [38]
3 years ago
5

Assuming a normal distribution of 1000 cases, how many cases will be farther away from the mean than + 3 standard deviations?a.A

bout 3 b.At least 500 c.It is impossible to estimate d.327
Mathematics
1 answer:
DanielleElmas [232]3 years ago
8 0

Answer:

P(-3

And then the probability that  will be farther away from the mean than + 3 standard deviations is just

1-0.9973= 0.0027

And the number of cases would be 1000*0.0027=2.7 or approximatley 3 cases. And the bes option is : a.About 3

Step-by-step explanation:

1) 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".  

2) Solution to the problem

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

X \sim N(\mu,\sigma)  

We are interested on this probability

P(X-3\mu

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}

And we can find this probability on this way:

P(-3

And in order to find these probabilities we can find tables for the normal standard distribution, excel or a calculator.  

P(-3

And then the probability that  will be farther away from the mean than + 3 standard deviations is just

1-0.9973= 0.0027

And the number of cases would be 1000*0.0027=2.7 or approximatley 3 cases. And the bes option is : a.About 3

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icang [17]

Answer:

y = (5-2x)/7 = 5/7 - 2x/7. option C

Step-by-step explanation:

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4 0
3 years ago
∠abc measures 115° and ∠dbc measures 70°. What is the measurement of ∠abd?
olasank [31]

Answer:

45 °

Step-by-step explanation:

m< ABC = m< DBC + m< ABD

= 115 _ 70

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3 years ago
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uranmaximum [27]
Hope this helps!
Anymore doubt, ask away

8 0
3 years ago
Please help me with this
timama [110]

Answer:

m<1 = 45°  

m<2 = 76°

m<3 = 80°

Step-by-step explanation:

<u>Points to remember</u>

1). Vertically opposite angles are equal

2). Sum of angles of a triangles is 180°

<u>To find the measures of given angles</u>

From the figure we get,

m<1 = 45°   [Vertically opposite angles]

By using angle sum property <2 + 59 + 45 = 180

m<2 = 180 - 104

m<2 = 76°

Also m<1 + m<3 + 55 = 180

m<3 = 180 - (m<1 + 55)

 = 180 - (45 + 55)

 = 180 - 100

m<3 = 80°

5 0
3 years ago
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