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zaylencollins55
05.11.2020 •
Mathematics
The number of years a Mars rover is expected to function on the surface of Mars is exponentially distributed with parameter λ = 0.25. If the company Budget Mars Explorer Inc. successfully lands a Mars rover on the planet Mars, what is the probability that it will be working for an additional 10 years after it last sent a communication to mission control?
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Ответ:
the probability that it will be working for an additional 10 years after it last sent a communication to mission control is 0.0821
Step-by-step explanation:
Given that;
years a Mars rover is expected to function on the surface of Mars λ = 0.25
probability that it will be working for an additional 10 years after it last sent a communication to mission control?
Now x is number of years a Mars rover function
f(x) = 0.25e^-0.25x , 0 < n < ∞
so
P( X>10 ) = ₁₀∫^∞ 0.25e^(-0.25n) dn
= e^(-0.25 × 10)
= e^(-2.5})
= 0.0821
therefore the probability that it will be working for an additional 10 years after it last sent a communication to mission control is 0.0821
Ответ:
All sides of a square are equal in length and there are four sides to a square so the equation would be 6*4 or 6+6+6+6, which equals 24.