#4. A radioactive isotope emits an average of 2 particles per second. What is the probability of waiting more than 2 seconds for the next particle to be emitted? Solve this problem using both the Poisson and the Exponential.

Q: т 1 Let A = (6 "). m Find A4 1

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Q: 3/20 + 13/15 combine.

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Q: 3

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Q: Find L{1}ℒ{1}.

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Q: 2/5+4/8

A: We have to find the sum

Q: 3 3 x-5 1 322

A:

Q: a3-16a

A: a³−16a ⇒a(a²−16) ⇒a(a² −4²) ⇒a(a+4)(a−4)

Q: C3x2 + – 4 kx - 5x- 6.

A:

Q: 6/4 - 2/4

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

Q: 7 items chosen 5 at a time

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Q: 4. 3*+4 72x-1

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Q: 1. O O O O lim (In(x))* ? 5.

A: Consider the given expression. y=limx→0+lnxxx Take ln on both sides of the equation.…

Q: Picking a blue marble three times in a row (replacing it in the bag each time) from a bag of 4…

A: Solution: Given data, Picking a blue marble three times in a row (replacing it in the bag each time)…

Q: 4 3/4 - 2 5/6

A: Given that the expression is

Q: +–3m+–9m+4+5+–10m

A: The expression is given as 1+–3m+–9m+4+5+–10m. Simplifying the given expression. 1+–3m+–9m+4+5+–10m…

Q: Let Mbe as in Equation (3.14) and let X = [1, 0, ½]¹. Show that the entries of Y=MX sum to 1.

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Q: Randomly drawing and immediately three red M&Ms in a row from a bag that contains 10 red M&Ms out of…

A: Given: 30 total M&Ms in that 10 red M&Ms.

Q: [ 8x³(4x² + 1)12dx

A: