arnita swims in a pool that is 50 meters long. everyday arnita swims 10 lengths of the the pool. After 5 days, how many kilomete
1 answer:
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Answer:
a) 99.84% probability that during a year, you can avoid catastrophe with at least one working drive
b) 99.999744% probability that during a year, you can avoid catastrophe with at least one working drive
Step-by-step explanation:
For each disk drive, there are only two possible outcomes. Either it works, or it does not. The disks are independent. So we use the binomial probability distribution to solve this question.
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.
In which is the number of different combinations of x objects from a set of n elements, given by the following formula.
And p is the probability of X happening.
4% rate of disk drive failure in a year.
This means that 96% work correctly,
a. If all your computer data is stored on a hard disk drive with a copy stored on a second hard disk drive, what is the probability that during a year, you can avoid catastrophe with at least one working drive?
This is when
We know that either none of the disks work, or at least one does. The sum of the probabilities of these events is decimal 1. So
We want . So
In which
99.84% probability that during a year, you can avoid catastrophe with at least one working drive
b. If copies of all your computer data are stored on four independent hard disk drives, what is the probability that during a year, you can avoid catastrophe with at least one working drive?
This is when
We know that either none of the disks work, or at least one does. The sum of the probabilities of these events is decimal 1. So
We want . So
In which
99.999744% probability that during a year, you can avoid catastrophe with at least one working drive
The volume of the composite figure is the third option 385.17 cubic centimeters.
Step-by-step explanation:
Step 1:
The composite figure consists of a cone and a half-sphere on top.
We will have to calculate the volumes of the cone and the half-sphere separately and then add them to obtain the total volume.
Step 2:
The volume of a cone is determined by multiplying with π, the square of the radius (r²) and height (h). Here we substitute π as 3.1415.
The radius is 4 cm and the height is 15 cm.
The volume of the cone :
cubic cm.
Step 3:
The area of a half-sphere is half of a full sphere.
The volume of a sphere is given by multiplying with π and the cube of the radius (r³).
Here the radius is 4 cm. We take π as 3.1415.
The volume of a full sphere cubic cm.
The volume of the half-sphere cubic cm.
Step 4:
The total volume = The volume of the cone + The volume of the half sphere,
The total volume cub cm. This is closest to the third option 385.17 cubic centimeters.