A population of values has a normal distribution with u = 89.8 and o n = 88 is drawn. 94.7. A random sample of size %3D %3D a. Find the probability that a single randomly selected value is less than 91.8. Round your answer to four decimal places. P(X < 91.8) = %3D b. Find the probability that a sample of size n = 88 is randomly selected with a mean less than 91.8. Round your answer to four decimal places. P(M < 91.8)

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### Homework: Section 7.1

**Score:** 3.5/24  
**Questions Answered:** 1/10

#### Problem Statement

A population of values follows a normal distribution with the mean (μ) = 89.8 and standard deviation (σ) = 94.7. A random sample of size \( n = 88 \) is drawn.

**Tasks:**

a. Find the probability that a single randomly selected value is less than 91.8. Round your answer to four decimal places.
   - \( P(X < 91.8) = \) [Input Field]

b. Find the probability that a sample of size \( n = 88 \) is randomly selected with a mean less than 91.8. Round your answer to four decimal places.
   - \( P(M < 91.8) = \) [Input Field]

[Submit Question Button]

**Instructions for Students:**
- Use a standard normal distribution table or calculator to find probabilities.
- Ensure answers are rounded to four decimal places for accuracy and consistency.
Transcribed Image Text:### Homework: Section 7.1 **Score:** 3.5/24 **Questions Answered:** 1/10 #### Problem Statement A population of values follows a normal distribution with the mean (μ) = 89.8 and standard deviation (σ) = 94.7. A random sample of size \( n = 88 \) is drawn. **Tasks:** a. Find the probability that a single randomly selected value is less than 91.8. Round your answer to four decimal places. - \( P(X < 91.8) = \) [Input Field] b. Find the probability that a sample of size \( n = 88 \) is randomly selected with a mean less than 91.8. Round your answer to four decimal places. - \( P(M < 91.8) = \) [Input Field] [Submit Question Button] **Instructions for Students:** - Use a standard normal distribution table or calculator to find probabilities. - Ensure answers are rounded to four decimal places for accuracy and consistency.
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