The following table shows the probability of a cellular phone company. What is the standard deviation for this probability distribution? What is the probability that they sell 6 or more contracts in a row? Number of Credit Cards P(x) 4 0.40 0.30 6 0.10 8. 0.15 10 0.05
The following table shows the probability of a cellular phone company. What is the standard deviation for this probability distribution? What is the probability that they sell 6 or more contracts in a row? Number of Credit Cards P(x) 4 0.40 0.30 6 0.10 8. 0.15 10 0.05
MATLAB: An Introduction with Applications
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![The following table shows the probability of a cellular phone company. What is the standard deviation for this probability distribution? What is the probability that they sell 6 or more contracts in a row?
| Number of Credit Cards (x) | P(x) |
|---------------------------|------|
| 4 | 0.40 |
| 5 | 0.30 |
| 6 | 0.10 |
| 8 | 0.15 |
| 10 | 0.05 |
The table displayed outlines the probability distribution of a cellular phone company’s ability to sell credit card contracts. The variable \( x \) represents the number of contracts sold, while \( P(x) \) denotes the probability associated with selling that specific number of contracts.
To determine the standard deviation, the mean (expected value) and variance of the distribution need to be calculated.
Additionally, to find the probability of selling 6 or more contracts in a row, sum the probabilities for \( x \) values of 6, 8, and 10:
\[ P(x \geq 6) = P(6) + P(8) + P(10) = 0.10 + 0.15 + 0.05 = 0.30 \]
Thus, the probability that they sell 6 or more contracts in a row is 0.30, or 30%.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F87982f8c-15cd-4d59-9a39-2d3e31be6d3d%2F0a2f9939-8f5f-49ef-86d1-2f3ff69ba397%2Fzi9hj4l_processed.jpeg&w=3840&q=75)
Transcribed Image Text:The following table shows the probability of a cellular phone company. What is the standard deviation for this probability distribution? What is the probability that they sell 6 or more contracts in a row?
| Number of Credit Cards (x) | P(x) |
|---------------------------|------|
| 4 | 0.40 |
| 5 | 0.30 |
| 6 | 0.10 |
| 8 | 0.15 |
| 10 | 0.05 |
The table displayed outlines the probability distribution of a cellular phone company’s ability to sell credit card contracts. The variable \( x \) represents the number of contracts sold, while \( P(x) \) denotes the probability associated with selling that specific number of contracts.
To determine the standard deviation, the mean (expected value) and variance of the distribution need to be calculated.
Additionally, to find the probability of selling 6 or more contracts in a row, sum the probabilities for \( x \) values of 6, 8, and 10:
\[ P(x \geq 6) = P(6) + P(8) + P(10) = 0.10 + 0.15 + 0.05 = 0.30 \]
Thus, the probability that they sell 6 or more contracts in a row is 0.30, or 30%.
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