The time it takes a person to recover from a cold is normally distributed with a mean of 8.8 days and a standard deviation of 1.5 days. 1. Suppose an individual with a cold is randomly selected. What is the probability that they recover within 8.2 days? o What distribution will you use to calculate this probability? NO o List the z-scores needed to calculate the result. If there is more than one z-score, separate the values with a comma. o There is a 2. Suppose 41 individuals with colds are randomly selected. What is the probability that, on average, they recover within 8.2 days? chance that the individual recovers within 8.2 days. o What distribution will you use to calculate this probability? NO o List the z-scores needed to calculate the result. If there is more than one z-score, separate the values with a comma. o There is a average of 8.2 days. chance that the 41 individuals with recover within an

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**Title: Probability Calculation of Cold Recovery Times**

The time it takes a person to recover from a cold is normally distributed with a mean of 8.8 days and a standard deviation of 1.5 days.

**1. Individual Recovery Scenario**

Suppose an individual with a cold is randomly selected. What is the probability that they recover within 8.2 days?

- **What distribution will you use to calculate this probability?**  
  N( [Mean], [Standard Deviation] )

- **List the z-scores needed to calculate the result. If there is more than one z-score, separate the values with a comma.**  
  [Z-scores]

- **There is a [Probability] chance that the individual recovers within 8.2 days.**

**2. Group Recovery Scenario**

Suppose 41 individuals with colds are randomly selected. What is the probability that, on average, they recover within 8.2 days?

- **What distribution will you use to calculate this probability?**  
  N( [Mean], [Standard Error] )

- **List the z-scores needed to calculate the result. If there is more than one z-score, separate the values with a comma.**  
  [Z-scores]

- **There is a [Probability] chance that the 41 individuals will recover within an average of 8.2 days.**

**Note:** To find the probabilities, use the standard normal distribution table in conjunction with the calculated z-scores.
Transcribed Image Text:**Title: Probability Calculation of Cold Recovery Times** The time it takes a person to recover from a cold is normally distributed with a mean of 8.8 days and a standard deviation of 1.5 days. **1. Individual Recovery Scenario** Suppose an individual with a cold is randomly selected. What is the probability that they recover within 8.2 days? - **What distribution will you use to calculate this probability?** N( [Mean], [Standard Deviation] ) - **List the z-scores needed to calculate the result. If there is more than one z-score, separate the values with a comma.** [Z-scores] - **There is a [Probability] chance that the individual recovers within 8.2 days.** **2. Group Recovery Scenario** Suppose 41 individuals with colds are randomly selected. What is the probability that, on average, they recover within 8.2 days? - **What distribution will you use to calculate this probability?** N( [Mean], [Standard Error] ) - **List the z-scores needed to calculate the result. If there is more than one z-score, separate the values with a comma.** [Z-scores] - **There is a [Probability] chance that the 41 individuals will recover within an average of 8.2 days.** **Note:** To find the probabilities, use the standard normal distribution table in conjunction with the calculated z-scores.
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Suppose a random variable x defines the amount of time a person takes to recover from cold.

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