Question

2. The following is the distribution function of a discrete random variables. | X | -3 | -1 | 0 | 1 | 2 | 3 | 5 | 8 | | :--- | :--- | :--- | :--- | :--- | :--- | :--- | :--- | :--- | | F(x) | 0.10 | 0.30 | 0.45 | 0.50 | 0.75 | 0.90 | 0.95 | 1.00 | (i) Find the probability of distribution of X. (ii) Find P(X is even) and P(1 ? X ? 8). (iii) Find P(X = -3|X < 0) and P(X ? 3|X > 0).

          2. The following is the distribution function of a discrete random variables.

| X | -3 | -1 | 0 | 1 | 2 | 3 | 5 | 8 |
| :--- | :--- | :--- | :--- | :--- | :--- | :--- | :--- | :--- |
| F(x) | 0.10 | 0.30 | 0.45 | 0.50 | 0.75 | 0.90 | 0.95 | 1.00 |

(i) Find the probability of distribution of X.
(ii) Find P(X is even) and P(1 ? X ? 8).
(iii) Find P(X = -3|X < 0) and P(X ? 3|X > 0).

2. The following is the distribution function of a discrete random variables.

| X | -3 | -1 | 0 | 1 | 2 | 3 | 5 | 8 |
| :— | :— | :— | :— | :— | :— | :— | :— | :— |
| F(x) | 0.10 | 0.30 | 0.45 | 0.50 | 0.75 | 0.90 | 0.95 | 1.00 |

(i) Find the probability of distribution of X.
(ii) Find P(X is even) and P(1 ? X ? 8).
(iii) Find P(X = -3|X < 0) and P(X ? 3|X > 0).

Added by Stephanie B.

Calculus: Early Transcendentals

James Stewart 8th Edition

Instant Answer

Solved by Expert Vincenzo Zaccaro

12/13/2023

Step 1

So, the probability distribution is as follows: P(X=-3) = 0.10 P(X=-1) = 0.30 - 0.10 = 0.20 P(X=0) = 0.45 - 0.30 = 0.15 P(X=1) = 0.50 - 0.45 = 0.05 P(X=2) = 0.75 - 0.50 = 0.25 P(X=3) = 0.90 - 0.75 = 0.15 P(X=5) = 0.95 - 0.90 = 0.05 Show more…

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2. The following is the distribution function of a discrete random variables. | X | -3 | -1 | 0 | 1 | 2 | 3 | 5 | 8 | | :--- | :--- | :--- | :--- | :--- | :--- | :--- | :--- | :--- | | F(x) | 0.10 | 0.30 | 0.45 | 0.50 | 0.75 | 0.90 | 0.95 | 1.00 | (i) Find the probability of distribution of X. (ii) Find P(X is even) and P(1 ≤ X ≤ 8). (iii) Find P(X = -3|X < 0) and P(X ≥ 3|X > 0).