Let z denote a random variable that has a standard normal distribution. Determine each of the probabilities below. (You may need to use a table. Round your answers to four decimal places.) (a) P(Z < 2.38) 0.9913 (b) P(Z ≤ 2.38) 0.9913 USE SALT (c) P(Z <-1.21) 0.1123 X (d) P(1.12

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Let \( z \) denote a random variable that has a standard normal distribution. Determine each of the probabilities below. (You may need to use a table. Round your answers to four decimal places.)

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(a) \( P(z < 2.38) \)

- Answer: 0.9913 ✔️

(b) \( P(z \leq 2.38) \)

- Answer: 0.9913 ✔️

(c) \( P(z < -1.21) \)

- Answer: 0.1123 ❌

(d) \( P(1.12 < z < 3.34) \)

- Answer: 0.1310 ✔️

(e) \( P(-0.77 \leq z \leq -0.54) \)

- Answer: 0.1176 ❌

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**Button Included:**

- Use SALT (likely a tool or resource for assistance) 

**Explanation:**

Each question asks you to find the probability of the standard normal variable \( z \) being in a specified range. The checkmarks indicate correctly calculated probabilities, while the crosses indicate errors. You might need to refer to a standard normal distribution table for precise values.
Transcribed Image Text:Let \( z \) denote a random variable that has a standard normal distribution. Determine each of the probabilities below. (You may need to use a table. Round your answers to four decimal places.) --- (a) \( P(z < 2.38) \) - Answer: 0.9913 ✔️ (b) \( P(z \leq 2.38) \) - Answer: 0.9913 ✔️ (c) \( P(z < -1.21) \) - Answer: 0.1123 ❌ (d) \( P(1.12 < z < 3.34) \) - Answer: 0.1310 ✔️ (e) \( P(-0.77 \leq z \leq -0.54) \) - Answer: 0.1176 ❌ --- **Button Included:** - Use SALT (likely a tool or resource for assistance) **Explanation:** Each question asks you to find the probability of the standard normal variable \( z \) being in a specified range. The checkmarks indicate correctly calculated probabilities, while the crosses indicate errors. You might need to refer to a standard normal distribution table for precise values.
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