For a normal variable X P(X > 41.1) - N(μ= 44.8, o = 8), find the probability P(X 41.1): (Round the answer to 4 decimal places)

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#22 for a normal variable find the probability
**Transcription:**

For a normal variable \( X \sim N(\mu = 44.8, \sigma = 8) \), find the probability \( P(X > 41.1) \):

\[ P(X > 41.1) = \underline{\qquad\qquad\qquad} \quad \text{(Round the answer to 4 decimal places)} \]

**Explanation:**

This question involves calculating the probability of a normal distribution. The random variable \( X \) is normally distributed with a mean (\( \mu \)) of 44.8 and a standard deviation (\( \sigma \)) of 8. You need to find the probability that \( X \) is greater than 41.1 and round your answer to four decimal places. There are no graphs or diagrams associated with this text.
Transcribed Image Text:**Transcription:** For a normal variable \( X \sim N(\mu = 44.8, \sigma = 8) \), find the probability \( P(X > 41.1) \): \[ P(X > 41.1) = \underline{\qquad\qquad\qquad} \quad \text{(Round the answer to 4 decimal places)} \] **Explanation:** This question involves calculating the probability of a normal distribution. The random variable \( X \) is normally distributed with a mean (\( \mu \)) of 44.8 and a standard deviation (\( \sigma \)) of 8. You need to find the probability that \( X \) is greater than 41.1 and round your answer to four decimal places. There are no graphs or diagrams associated with this text.
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