### Binomial Probability Table for n = 15This table provides the binomial probabilities for n = 15 (number of trials) across different values of probability (p) of success for each trial. The table is structured with columns representing different values of p and rows indexed by k, ranging from 0 to 14.#### Explanation of Columns and Rows:- **Column Headers (p):** These values represent the probability of success in a single trial. The probabilities listed in the columns are 0.10, 0.20, 0.30, 0.40, 0.50, 0.60, 0.70, 0.80, and 0.90.- **Row Headers (k):** These values represent the number of successes (out of 15 trials). Values range from 0 to 14.#### Table Data:Each cell in the table reflects the cumulative probability P(X ≤ k) for n = 15 trials and a specific probability of success. - When k = 0 and p = 0.10, the cumulative probability P(X ≤ 0) is 0.206.- When k = 0 and p = 0.20, the cumulative probability is 0.035, and so on.Here is a detailed description of the table content:| k | p = 0.10 | p = 0.20 | p = 0.30 | p = 0.40 | p = 0.50 | p = 0.60 | p = 0.70 | p = 0.80 | p = 0.90 ||----|------------|------------|------------|------------|------------|------------|------------|------------|------------|| 0 | 0.206 | 0.035 | 0.005 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 || 1 | 0.549 | 0.167 | 0.035 | 0.005 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |

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Description: ### Binomial Probability Table for n = 15This table provides the binomial probabilities for n = 15 (number of trials) across different values of probability (p) of success for each trial. The table is structured with columns representing different v

The pdf of binomial distribution is, The objective is to find the required probabilities.

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Mlal Fandom variable, use the binomial probability table to find the probabilities below. a. P(x<11) forn=20, p 0.6 b. P(x2 19) for n=25, p 0.7 c. P(x= 1) for n = 15, p = 0.9 More Info Binomial Probabilities for n= 15 k .10 20 .30 .40 .50 .60 .70 .80 .90 206 549 .035 .005 .000 .000 .000 .000 .000 .000 .000 1 .000 .167 .398 .035 .005 .000 .000 .000 816 944 .127 .297 .027 .004 .000 .000 .000 .000 3 .648 .091 .018 .002 4 .000 .000 .000 987 998 .836 .515 .722 .217 .403 .059 .151 .009 .001 .004 .000 .000 .000 .939 .034 .000 1.000 .982 .869 .610 .304 .095 .015 .001 .000 1.000 1.000 .996 .787 .905 .950 .500 .213 .390 050 .131 .004 .000 8 .985 .996 .999 .696 .018 .000 9. 1.000 1.000 1.000 .966 .849 597 278 .485 .061 .002 .013 10 1.000 .999 .991 .941 .783 .164 11 1.000 1.000 1.000 .998 .982 .909 .973 .703 .873 .352 .602 .056 .184 .451 794 12 1.000 1.000 1.000 1.000 .996 13 1.000 1.000 1.000 1.000 1.000 1.000 1.000 1.000 .995 1.000 .965 995 .833 .965 14 1.000 1.000

Mlal Fandom variable, use the binomial probability table to find the probabilities below. a. P(x<11) forn=20, p 0.6 b. P(x2 19) for n=25, p 0.7 c. P(x= 1) for n = 15, p = 0.9 More Info Binomial Probabilities for n= 15 k .10 20 .30 .40 .50 .60 .70 .80 .90 206 549 .035 .005 .000 .000 .000 .000 .000 .000 .000 1 .000 .167 .398 .035 .005 .000 .000 .000 816 944 .127 .297 .027 .004 .000 .000 .000 .000 3 .648 .091 .018 .002 4 .000 .000 .000 987 998 .836 .515 .722 .217 .403 .059 .151 .009 .001 .004 .000 .000 .000 .939 .034 .000 1.000 .982 .869 .610 .304 .095 .015 .001 .000 1.000 1.000 .996 .787 .905 .950 .500 .213 .390 050 .131 .004 .000 8 .985 .996 .999 .696 .018 .000 9. 1.000 1.000 1.000 .966 .849 597 278 .485 .061 .002 .013 10 1.000 .999 .991 .941 .783 .164 11 1.000 1.000 1.000 .998 .982 .909 .973 .703 .873 .352 .602 .056 .184 .451 794 12 1.000 1.000 1.000 1.000 .996 13 1.000 1.000 1.000 1.000 1.000 1.000 1.000 1.000 .995 1.000 .965 995 .833 .965 14 1.000 1.000

Holt Mcdougal Larson Pre-algebra: Student Edition 2012

1st Edition

ISBN:9780547587776

Author:HOLT MCDOUGAL

Publisher:HOLT MCDOUGAL

Chapter11: Data Analysis And Probability

Section: Chapter Questions

Problem 14CR

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Concept explainers

Contingency Table

A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear relationship between two variables. A contingency table is indeed a type of frequency distribution table that displays two variables at the same time.

Binomial Distribution

Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.

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Question

### Binomial Probability Table for n = 15

This table provides the binomial probabilities for n = 15 (number of trials) across different values of probability (p) of success for each trial. The table is structured with columns representing different values of p and rows indexed by k, ranging from 0 to 14.

#### Explanation of Columns and Rows:

- **Column Headers (p):** These values represent the probability of success in a single trial. The probabilities listed in the columns are 0.10, 0.20, 0.30, 0.40, 0.50, 0.60, 0.70, 0.80, and 0.90.
- **Row Headers (k):** These values represent the number of successes (out of 15 trials). Values range from 0 to 14.

#### Table Data:
Each cell in the table reflects the cumulative probability P(X ≤ k) for n = 15 trials and a specific probability of success.

- When k = 0 and p = 0.10, the cumulative probability P(X ≤ 0) is 0.206.
- When k = 0 and p = 0.20, the cumulative probability is 0.035, and so on.

Here is a detailed description of the table content:

| k | p = 0.10 | p = 0.20 | p = 0.30 | p = 0.40 | p = 0.50 | p = 0.60 | p = 0.70 | p = 0.80 | p = 0.90 |
|----|------------|------------|------------|------------|------------|------------|------------|------------|------------|
| 0 | 0.206 | 0.035 | 0.005 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
| 1 | 0.549 | 0.167 | 0.035 | 0.005 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |

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