During a recent housing slump, the median price of homes decreased in the United States. If James bought his house for $360,000
1 answer:
Purchase price of the house = $360,000
Price of the house after 1 year = $253,800
Percent decrease in the value of the house = * 100
⇒ Percent decrease in the value of the house = * 100
⇒ Percent decrease in the value of the house = * 100
⇒ Percent decrease in the value of the house = 29.5%
Hence, the price of the house decreased by 29.5% over an year.
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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
Answer:
No. They are not equivalent.
Step-by-step explanation:
=>
Therefore, 3/5 and 1/2 are not equivalent.
Hoped this helped.