teacher asked her students write down the number of hours studied rounded to the nearest half hour. she complies the results in
develops the probability distribution below for randomly selected student. what is the mean of the probability distribution
1 answer:
Answer:
1.5
Step-by-step explanation:
The question is incomplete due to the probability distribution table, investigating you can find it so I will attach it.
Having the table, we need to find the mean of the probability distribution, which is defined as the sum of the product of probability and value of random distribution, that is:
M = Sum (xi) * P (xi)
We replace:
M = 0.5 * 0.07 + 1 * 0.2 + 1.5 * 0.46 + 2 * 0.2 + 2.5 * 0.07
M = 1.5
Therefore, the mean of the given table is 1.5
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Given:
Volume of a sphere is times the surface area.
To find:
The surface area and the volume of the sphere.
Solution:
Volume of a sphere:
...(i)
Surface area of a sphere:
...(ii)
Where, r is the radius of the sphere.
Volume of a sphere is times the surface area.
Multiply both sides by 3.
Using (i), the volume of the sphere is:
Using (ii), the surface area of the sphere is:
Therefore, the surface area of the sphere is 9856 sq. units and the volume of the sphere is 91989 cubic units.