Q13. Suppose that a certain type of electronic component follows an exponential distribution with a mean life of 500 hours. Let X be the sample average of the life of 25 electronic components. (a) Find the mean and variance of X. (b) Use Chebyshev's inequality to find a lower bound for P(300 < X < 700). (c) Find P(300 < X < 700), by using the central limit theorem and the table of the standard normal cumulative distribution given on the last page.

Q: Radioactive Carbon-14 The percentage Pof radioactive carbon- 14 remaining in a fossil after t years…

A: Note: As P and b for the first question are not given in the data provided by you. Solved the second…

Q: Ln X = 2.83254 %3D

A: Using formula ln(x) =a x =ea

Q: Match each P-value with the graph that displays its area without performing any calculations.…

A: Solution Given That, Match each P-value with the graph that displays its area without performing any…

Q: (a) Estimate the area under the graph of f(x) = 6 + 2x from x = -1 to x = 2 using three rectangles…

A:

Q: P=20,000e^(0.025t), where t represents time, in years. 25,000 people can be represented as t=x(lny).…

A:

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A:

Q: The number of patients seen by a hospital t days after a natural disaster is modeled by p(t) =…

A: To solve the following problem of finding the peak no of patients and the days

Q: pnd inkgal. the indefinie 10 (x H10

A: By substitution, we calculate the given integral.

Q: CothY%=D2(schZx+tanhx

A: Simple hyperbolic functions

Q: so the answer is 2,420e^-(37/1000)t ?

A:

Q: A radioactive substance follows A(t) = 500(0.87)^t , where t is in months and A(t) is in grams. How…

A: Given that: A(t)=500(0.87)t, where t is in months and A(t) is in grams.

Q: What is the graph of y=(1/3) ^x?

A: As x approaches to infinity then limit of  y=(1/3)^x will be 0. So  optin A and option D are…

Q: Evaluate: 9 x° e- dx = 3

A: Applying product rule, ∫9x3e-xdx=9x3∫e-xdx+∫d(9x3)dx∫e-xdx dx

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A: Recall the formula: ax=b⇔logab=x

Q: Let x=126 and y=215. Find the unit digit of 7^x + 1^y. Note: 7^x means "7 raised to the xth power"

A:

Q: Find the frequency of a musical note which is 5 half-steps above a note with frequency 440 cps.…

A: There are 5 half-steps above a note with frequency 440 cps. That is, n=5,Q0=440.

Q: LN(1 –.70) -100 8

A: So the value of the experience is 9.63.Explanation:

Q: N(t)= 250,000(.494)^t When will 10 percent of the original amount of aluminum be in use? In years

A: The given equation is: Nt=250,0000.494t To find: When will 10 percent of the original amount of…

Q: 8 *10^x= 100

A: Explanation and solutions is given below....

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A:

Q: Why not 1/7^x?

A: We have to find a function f(x) which passes through point (-3,343) and (0,1).

Q: 2 (x-a)を

A:

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A: I have provided the answer above for you. See the answer I provided above to understand the given…

Q: 1.574 = 0.000173 * f2

A:

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A: It is given that the slope β1 = 1.2.

Q: L{1/2k³(sinkt-kt coskt)}

A:

Q: Tan^-1(1/3)

A:

Q: find the exact solution 40=3(1.15)^t

A: Given query is to find the value of t.

Q: 6ln6 - 2ln2 - 5 ln5 ~ 1.317

A: Let ,y = 6ln6-2ln2-5ln5y = 61.791-20.693-51.609y = 1.315

Q: 18/x-4   =  10/x

A:

Q: SoIve for x. (Round answers to the nec thousandth ) 1.3^(2x)=78 x

A: To solve for x 1.32x=78x