Use technology to find the indicated area under the standard Normal curve. Include an appropriately labeled sketch of the Normal curve and shade the appropriate region. a. Find the probability that a z-score will be 1.42 or less. b. Find the probability that a z-score will be 1.42 or more. c. Find the probability that a z-score will be between - 1.3 and - 1.03. OA. B. Oc. OD. Q 1.42 -1.42 1.42 -1.42 1.42 1.42 The probability that a z-score will be 1.42 or less is (Round to four decimal places as needed.)

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### Educational Content: Understanding Standard Normal Curve and Z-Scores

**Task Instructions:**

Use technology to determine the indicated area under the standard normal curve. Include an accurately labeled sketch of the Normal curve and shade the relevant region.

**Tasks:**

a. **Find the probability that a z-score will be 1.42 or less.**

- The graph labeled "A" depicts a normal distribution curve with the area to the left of the z-score 1.42 shaded in light blue, indicating the cumulative probability for a z-score of 1.42 or less.

b. **Find the probability that a z-score will be 1.42 or more.**

- The graph labeled "D" shows the area to the right of the z-score 1.42 shaded, representing the probability for a z-score of 1.42 or more.

c. **Find the probability that a z-score will be between -1.3 and -1.03.**

- The graph labeled "C" illustrates the area between the z-scores -1.3 and -1.03 shaded in blue, which identifies the probability of a z-score falling within this range.

**Graph Selection Questions:**

1. **The probability that a z-score will be 1.42 or less is:** 

- (Round to four decimal places as needed.)

2. **Which graph below shows the probability that a z-score is 1.42 or more?**

- Correct answer: Graph D.

Use the graphs to help visualize these probabilities and better understand the distribution of data in a standard normal curve. These visual aids facilitate accurate interpretation of z-scores and their corresponding probabilities.
Transcribed Image Text:### Educational Content: Understanding Standard Normal Curve and Z-Scores **Task Instructions:** Use technology to determine the indicated area under the standard normal curve. Include an accurately labeled sketch of the Normal curve and shade the relevant region. **Tasks:** a. **Find the probability that a z-score will be 1.42 or less.** - The graph labeled "A" depicts a normal distribution curve with the area to the left of the z-score 1.42 shaded in light blue, indicating the cumulative probability for a z-score of 1.42 or less. b. **Find the probability that a z-score will be 1.42 or more.** - The graph labeled "D" shows the area to the right of the z-score 1.42 shaded, representing the probability for a z-score of 1.42 or more. c. **Find the probability that a z-score will be between -1.3 and -1.03.** - The graph labeled "C" illustrates the area between the z-scores -1.3 and -1.03 shaded in blue, which identifies the probability of a z-score falling within this range. **Graph Selection Questions:** 1. **The probability that a z-score will be 1.42 or less is:** - (Round to four decimal places as needed.) 2. **Which graph below shows the probability that a z-score is 1.42 or more?** - Correct answer: Graph D. Use the graphs to help visualize these probabilities and better understand the distribution of data in a standard normal curve. These visual aids facilitate accurate interpretation of z-scores and their corresponding probabilities.
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