According to CBS Money Watch, the average monthly household cellu phone bill is $100. Suppose monthly household cell phone bills are normally distributed with a standard deviation of $11.35. What is the probability that a randomly selected monthly cell phone bill is more th $120? Round your answer to 3 decimal places.

A First Course in Probability (10th Edition)
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ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
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### Statistical Probability Exercise

**Question 5**

According to CBS Money Watch, the average monthly household cellular phone bill is $100. Suppose monthly household cell phone bills are normally distributed with a standard deviation of $11.35. What is the probability that a randomly selected monthly cell phone bill is more than $120? Round your answer to 3 decimal places. 

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*Understanding the Problem:*

1. **Mean (μ):** $100
2. **Standard Deviation (σ):** $11.35
3. **Threshold Value:** $120

Calculate the probability that the cell phone bill exceeds $120 using the properties of the normal distribution. 

To solve this problem, you would typically convert the value to a Z-score and then use standard normal distribution tables or a statistical software to find the probability.
Transcribed Image Text:### Statistical Probability Exercise **Question 5** According to CBS Money Watch, the average monthly household cellular phone bill is $100. Suppose monthly household cell phone bills are normally distributed with a standard deviation of $11.35. What is the probability that a randomly selected monthly cell phone bill is more than $120? Round your answer to 3 decimal places. --- *Understanding the Problem:* 1. **Mean (μ):** $100 2. **Standard Deviation (σ):** $11.35 3. **Threshold Value:** $120 Calculate the probability that the cell phone bill exceeds $120 using the properties of the normal distribution. To solve this problem, you would typically convert the value to a Z-score and then use standard normal distribution tables or a statistical software to find the probability.
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