Suppose the probability that a particular computer chip fails after a hours of operation is 0.00005∫_a^∞ e^{−0.00005t}dt. Of the chips that are still operating after 15,000 hr, what fraction of these will operate for at least another 15,000 hr

Q: log_(5)(z^(15)x^(11))

A: log_(5)(z^(15)x^(11))

Q: if y = 5/2[e^x/5 + e^-x/5], the show that y,, = y/25

A:

Q: Let X be exponential with mean 1/^; that is, fX(x) = λe^(-Ax), 01].

A: Let  be exponential distribution with mean .Its PDF is given by,Where,  is a parameter.

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A: Disclaimer: Since you have posted a question with multiple sub-parts, we will solve the first four…

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Q: The lifespan X (years) of a species of pig has pdf f (x) = 3x2e−x^3 , 0 < x < ∞. Does X possess the…

A: To determine whether the random variable X, representing the lifespan of a species of pig, possesses…

Q: -0,053€ AO-A,e 0.

A:

Q: 1.) HOW MUch will 5000 be worth in as years If It earns interent compounded continuou at 890?

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Q: A certain phenomenon has initial value 8 and decays by 11% each year. Give an exponential function…

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Q: Most smoke detectors contain a tiny amount of Americium-241, which is an artificially produced…

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Q: If e^x = 3/10, what is the approximate value of x?

A: TO FIND 'X' GIVEN-  ex =310 BY USING NATURAL LOG USE - lne =1            lnmn= n lnm

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Q: A population numbers 17,000 organisms initially and grows by 14.6% each year. Suppose P represents…

A: Our model function is P = abt, a is the initial number of population which is 17000 and b is (1+r).…

Q: B(4)=2500*e^0.025(4)

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Q: A AUM survey claims that the less than 8.9 percent of the student population suffers from test…

A: From the given information we want to know null and alternative hypothesis.

Q: Use the graph y=e^x to evaluate e^1.7 to four decimal

A:

Q: uppose that the population in a small city is 65,000 in the beginning of 2009and the city council…

A: Given that  in the beginning of 2009  the population in a small city is 65,000…

Q: More models For each of the models listed below, predict y when x =2. a) y^ =1.2+0.8 log x  b) logy^…

A: Given information: The models are given below. a)y^=1.2+0.8logxb)log y=1.2+0.8xc)ln…

Q: Suppose a system is made up of seven components with iid lifetimes. The system will operate until…

A: the lifetime of each component is given by:

Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.