Eight balls numbered from 1 to 8 are placed into a bag. Some are grey and some are white. The balls numbered 2, 3, 4, 5, and 7 are grey. The balls numbered 1, 6, and 8 are white. A ball is selected at random. Let X be the event that the selected ball is white, and let P (X) be the probability of X. 5 608 Let not X be the event that the selected ball is not white, and let P(not X) be the probability of not X. (a) For each event in the table, check the outcome(s) that are contained in the event. Then, in the last column, enter the probability of the event. Outcomes Event Probability 1 23 4 567 8 P(x)-I not X P(notX) -I (b) Subtract. 1- P(x) -I P(X) P(not X) (c) Select the answer that ma 1-P(not X) lue. None of the above 1-P (X) is the same as (Choose one) Dlo x

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
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Eight balls numbered from 1 to 8 are placed into a bag. Some are grey and some are white. The balls numbered 2, 3, 4, 5, and 7 are grey. The balls numbered 1, 6, and 8 are white.

A ball is selected at random. Let \( X \) be the event that the selected ball is white, and let \( P(X) \) be the probability of \( X \).

Let \( \text{not } X \) be the event that the selected ball is not white, and let \( P(\text{not } X) \) be the probability of \( \text{not } X \).

**(a) For each event in the table, check the outcome(s) that are contained in the event. Then, in the last column, enter the probability of the event.**

| Event    | Outcomes | Probability |
|----------|----------|-------------|
| \( X \)  | □  □  1  □  □  □  6  □  8  □  | \( P(X) = \square \) |
| \( \text{not } X \) | □  2  3  4  5  7  □  □  □  □ | \( P(\text{not } X) = \square \) |

**(b) Subtract.**

\[ 1 - P(X) = \square \]

**(c) Select the answer that makes the statement true.**

\[ 1 - P(X) \text{ is the same as } \]

- \( P(X) \)
- \( P(\text{not } X) \)
- \( 1 - P(\text{not } X) \)
- None of the above

\[ \text{(Choose one) } \square \]
Transcribed Image Text:Eight balls numbered from 1 to 8 are placed into a bag. Some are grey and some are white. The balls numbered 2, 3, 4, 5, and 7 are grey. The balls numbered 1, 6, and 8 are white. A ball is selected at random. Let \( X \) be the event that the selected ball is white, and let \( P(X) \) be the probability of \( X \). Let \( \text{not } X \) be the event that the selected ball is not white, and let \( P(\text{not } X) \) be the probability of \( \text{not } X \). **(a) For each event in the table, check the outcome(s) that are contained in the event. Then, in the last column, enter the probability of the event.** | Event | Outcomes | Probability | |----------|----------|-------------| | \( X \) | □ □ 1 □ □ □ 6 □ 8 □ | \( P(X) = \square \) | | \( \text{not } X \) | □ 2 3 4 5 7 □ □ □ □ | \( P(\text{not } X) = \square \) | **(b) Subtract.** \[ 1 - P(X) = \square \] **(c) Select the answer that makes the statement true.** \[ 1 - P(X) \text{ is the same as } \] - \( P(X) \) - \( P(\text{not } X) \) - \( 1 - P(\text{not } X) \) - None of the above \[ \text{(Choose one) } \square \]
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