Problem 17b:Find the probability that a randomly selected sixth-grade student reads more than 140 words per minute. Round your answer to 4 decimal places. Answer:

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To find the probability that a randomly selected sixth-grade student reads more than 140 words per minute, we typically need information about the distribution of reading speeds among sixth-grade students. This usually involves knowing the mean (average) reading speed, the standard deviation, and whether the distribution is normal or follows some other distribution.

Assuming the reading speeds are normally distributed, we can use the following steps:

1. **Identify the mean (μ) and standard deviation (σ)** of the reading speeds. (You would need to provide these values or they would be given in the problem.)

2. **Calculate the z-score** for 140 words per minute using the formula:
   $$
   z = \frac{X - \mu}{\sigma}
   $$
   where $$X$$ is the value of interest (140 words per minute).

3. **Use the z-score to find the probability**. You can look up the z-score in a standard normal distribution table or use a calculator to find the cumulative probability.

4. **Calculate the probability of reading more than 140 words per minute**:
   $$
   P(X > 140) = 1 - P(Z \leq z)
   $$

5. **Round the final answer to four decimal places**.

If you provide the mean and standard deviation, I can help you calculate the exact probability.
To find the probability of a sixth-grade student reading over 140 words per minute, use the mean and standard deviation of reading speeds. Calculate the z-score for 140 words per minute, then find the probability using a standard normal distribution table or calculator. Subtract this from 1 to get the probability of reading more than 140 words per minute, and round to four decimal places.

Problem 17b:Find the probability that a randomly selected sixth-grade student reads more than 140 words per minute. Round your answer to 4 decimal places. Answer:

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