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the class is EGEN 350 pleas i need the answers of questions 2 and 3

2. (3pts) Which of the following is a valid probability mass function? 20 15 0.1 10 0.2 0.4 0.1 10 0.4 15 0.2 20 0.1 P(Xx) 0.2 10 15 0.2 20 C. P(X-x) 0.2 0.4 0.2 10 0.4 15 20 0.1 P(X x) 0.2 0.5 Show Your Work: Write legibly and darkly. Place your answer in the box (where provided) 3. Computer chips often contain surface imperfections. For a certain type of computer chip, the probability mass function of the number of defects X is presented in the following table 0 0.4 0.3 0.15 0.10 0.05 a. (2pts) Find P(X s 2). b. (2pts) Find P(X > 1) C. (3pts) Find the mean number of defects, E(X)

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Answer #1

2.

A. No, beacuse sum of probabilities is not equal to one.

B. No, P(X=5) = -0.2 negative, probabilities cannot be negative.

C. YES

D. No, beacuse sum of probabilities is not equal to one.

3.

a.P(X s2) 0.4+0.3+0.15 0.85 b.P(X>1)-0.15+0.10+0.05 0.30

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