You may need to use the appropriate appendix table or technology to answer this question. Given that z is a standard normal random variable, compute the following probabilities. (Round your answers to four decimal places.) (a) P(0 sz≤ 0.88) X (b) P(-1.56 ≤ z ≤ 0) X (c) P(Z > 0.43) (d) P(Z -0.26) X

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter13: Probability And Calculus
Section13.3: Special Probability Density Functions
Problem 52E
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### Understanding Standard Normal Distribution

You may need to use the appropriate appendix table or technology to answer this question.

Given that \( z \) is a standard normal random variable, compute the following probabilities. (Round your answers to four decimal places.)

1. **Probability Problems:**
   - (a) \( P(0 \le z \le 0.88) \)
     - ____
     - (Incorrect) ✖️
   - (b) \( P(-1.56 \le z \le 0) \)
     - ____
     - (Incorrect) ✖️
   - (c) \( P(z > 0.43) \)
     - ____
     - (Incorrect) ✖️
   - (d) \( P(z \ge -0.26) \)
     - ____
     - (Incorrect) ✖️
   - (e) \( P(z < 1.90) \)
     - ____
     - (Incorrect) ✖️
   - (f) \( P(z \le -0.79) \)
     - ____
     - (Incorrect) ✖️

2. **Additional Assistance:**
   - If you need further help, click on the 'Read It' button for more guidance on how to approach these probability calculations.

---

The provided problems require an understanding of the standard normal distribution. Utilizing the Z-table or a statistical software tool will aid in finding these probabilities accurately. Each problem presents a different scenario requiring knowledge of the properties and cumulative areas under the standard normal curve.
Transcribed Image Text:--- ### Understanding Standard Normal Distribution You may need to use the appropriate appendix table or technology to answer this question. Given that \( z \) is a standard normal random variable, compute the following probabilities. (Round your answers to four decimal places.) 1. **Probability Problems:** - (a) \( P(0 \le z \le 0.88) \) - ____ - (Incorrect) ✖️ - (b) \( P(-1.56 \le z \le 0) \) - ____ - (Incorrect) ✖️ - (c) \( P(z > 0.43) \) - ____ - (Incorrect) ✖️ - (d) \( P(z \ge -0.26) \) - ____ - (Incorrect) ✖️ - (e) \( P(z < 1.90) \) - ____ - (Incorrect) ✖️ - (f) \( P(z \le -0.79) \) - ____ - (Incorrect) ✖️ 2. **Additional Assistance:** - If you need further help, click on the 'Read It' button for more guidance on how to approach these probability calculations. --- The provided problems require an understanding of the standard normal distribution. Utilizing the Z-table or a statistical software tool will aid in finding these probabilities accurately. Each problem presents a different scenario requiring knowledge of the properties and cumulative areas under the standard normal curve.
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