To raise money for after-school programs at an elementary school, a group of parents is holding a weekend of games in a communit
1 answer:
Answer:
and
Step-by-step explanation:
The number of people is and the number of hours they are present in the space is
.
Per person entry cost is $8.
Per hour cost of rent is $40.
They plan to earn a minimum of $600.
Donations by all the people entering the space is
Total cost of renting the space is which will be subtracted from the total amount of donations.
The inequality that represents the situation is and
.
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Answer:
The average yearly replacement cost is approximately $32,211,500
Step-by-step explanation:
Exponential Distribution
P(X < x) = 1 - e -x/
For the CPU, μ = 3 years
The probability that a CPU fails in less than 1 year is therefore;
P(C) =
For the RAM, μ = 2 years
The probability that a RAM fails in less than 1 year is therefore;
P(R) =
For the hard drive, μ = 5 years
The probability that a hard drive fails in less than 1 year is therefore;
P(H) =
The probability that either a CPU, or a RAM or a hard drive fails in 1 year so that a replacement is required, P(C ∪ R ∪ H), is given as follows;
P(C ∪ R ∪ H) = P(C) + P(R) + P(H) - P(C∩R) - P(C∩H) - P(R∩H) + P(C∩R∩H)
∴ P(C ∪ R ∪ H) = 0.2835 + 0.3935 + 0.1813 - (0.2835 × 0.3935) - (0.2835 × 0.1813) -(0.3935 × 0.1813) + (0.2835 × 0.3935 × 0.1813) ≈ 0.64423
∴ P(C ∪ R ∪ H) ≈ 0.64423
There is a 0.64423 chance that a laptop will require replacement
For 100,000 laptops sold a year and a replacement cost of $500 per laptop, we have;
The average yearly replacement cost, 'Cost' is given as follows;
Cost = 500 × 100,000 × 0.64423 = 32,211,500
The average yearly replacement cost, Cost ≈ $32,211,500