Mathematics, 26.02.2020 19:31, anikalee

A random sample of 2 measurements is taken from the following population of values: 0, 1, 3, 4, 7. What is the probability that the range of the sample is 4?

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answered: ayoismeisalex

Using the probability concept, it is found that there is a 0.2 = 20% probability that the range of the sample is 4.

A probability is the number of desired outcomes divided by the number of total outcomes.

Desired outcomes:

Range of 4, that is, a difference of 4 between the values, hence two possible outcomes, {0,4} and {3,7}.

Total outcomes:

2 values from a set of 5, with order not being important, as for example, {0,1} is the same outcome as {1,0}, then, using the combination formula:

$T = C_{5,2} = \frac{5!}{3!2!} = 10$

The probability is:

$p = \frac{D}{T} = \frac{2}{10} = 0.2$

0.2 = 20% probability that the range of the sample is 4.

To learn more about the probability concept, you can check link

answered: kylahwells

1/5

Step-by-step explanation:

Range as a measure of central tendency is the difference between the highest value and the lowest value in a given set of data.

Given the samples 0,1,3,4,7

Total number of samples is 5

The range is gotten by taking the difference of 2 samplesout of 5samples and this can be done in 5C2 ways.

5C2 = 5!/(5-2)!2!

= 5!/3!2!

= 5×4×3!/3!×2

= 10ways

The total outcome is therefore 10

To get the probability that the range is 4, we need to get the required outcome of getting range of 4 and this can only occur twice

The range can be gotten by taking the difference between 7 and 3, it can also be gotten by taking the difference between 4 and 0. Both differences will give us a total of 4

The expected outcome is therefore 2

the probability that the range of the sample is 4 = expected outcome/total outcome

= 2/10

= 1/5

answered: Guest

solution:

we have to construct

∠m nt ≅ ∠p qr

the steps to draw this construction are

step 1: use a compass to draw an arc from point q which intersects the side pq at point a and the side qr at point b.

step 2: draw a segment nt and use the same width of the compass to draw an arc from point n which intersects the segment nt at a point x.

step 3:

step 4: join points n and y using a straightedge.

step 3:

option (d).maintaining the same width of the compass as ab, draw an arc from point x such that it intersects the arc drawn from n in a point y.

to draw congruent angles , 1. width of compasses while drawing two angles should be same i.e from point at which angle has to be drawn, 2.the distance between the two points where the compass intersects the two sides should be same while drawing any two congruent angles.

answered: Guest

the answer is c.

step-by-step explanation:

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A random sample of 2 measurements is taken from the following population of values: 0, 1, 3, 4, 7. W...