Exercise 3: Suppose that in an electric display sign there are three light bulbs in the first row and four light bulbs in the second row. Let X denote the mumber of bulbs in the first row that will be burned out at a specified time t, and let Y denote the mumber of bulbs in the second row that will be burned out at the same time t. Suppose that the joint p.f of X and Y is as specified in the following table: 1. 3 0.08 0.07 0.06 0.01 0.01 1 0.06 0.10 0.12 0.05 0.02 2 0.05 0.06 0.09 0.04 0.03 3 0.02 0.03 0.03 0.03 0.04 Determine cach of the following probabilities: 1. Pr(X = 2) 2. Pr(Y > 2) 3. Pr(Y < 2|X = 3) and Var[Y|Y = 3], Var[Y|X = 3]

Q: 7 yd 14 yd

A: The given is a cylinder. The height of a cylinder is h=7 yd. The diameter is d= 14 yd. Then the…

Q: Question 6 part 1,2,3

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Q: can you explain the i.e part of step 2 part B?

A:

Q: answer part d

A: Given: The given function is fx=x4+5 logxx4+1. To find: We have to find the least integer n such…

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Q: 3. у %3D х 2 ヌ、

A:

Q: 1SC, + 1°C, - 1C,- 1"C, = %3D

A: Solution: 6. Combinations: Suppose there are n objects and r objects to be chosen. Then, combination…

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A: E. Given  f(x) = 3x g(x) = x - 5 To find  d. (fog)(x) e. (gof)(x) f. (fog) (2)

Q: 4 yd

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Q: can you answer part A of the question please

A: Given, The following equation x2+2x+28=0 can be solved using the complete square method or the…

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A: we have to determine the value of z to correspondingprobability value is 0.0400

Q: Could you give a mathematical explanation for part c please?

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A: We need to find continuity and discontinuity.

Q: sec. 3.

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Q: ARE YOU SURE ABOUT PART 2 ?

A: which is constant.

Q: Can you answer part Iv here ?

A:

Q: What about parts c and d?

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A: Here, E=0.03 For 99% confidence level, the value of z is 2.576. Consider p^=0.5 (as sample size need…

Q: Could you explain part(b) as well?

A: Our objective is given below:

Q: How about part a?

A: Let's find implicit function or not.

Q: What about third one?

A:

Q: what about part 5)?

A: Please find the answer innext step

Q: Suppose that the efficacy of a certain drug is 0.52. Consider the sampling distribution (sample size…

A: It is given that the efficacy of a certain drug (p) is 0.52 and the sample size n is 167.