Assume the random variable X is normally distributed with mean µ = 50 and standard deviation o = 7. Compute the probability. Be sure to draw a normal curve with the area corresponding to the probability shaded. P(57 SXS68) ..... Which of the following normal curves corresponds to P(57 sXs68)? OA. В. OC. Q 50 57 68 50 57 68 50 57 68

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**Question:**  
Assume the random variable \( X \) is normally distributed with mean \( \mu = 50 \) and standard deviation \( \sigma = 7 \). Compute the probability. Be sure to draw a normal curve with the area corresponding to the probability shaded.

\[ P(57 \leq X \leq 68) \]

---

Which of the following normal curves corresponds to \( P(57 \leq X \leq 68) \)?

**Options:**

**A.**  
- The graph shows a normal curve with a shaded area between \( X = 57 \) and \( X = 68 \).

**B.**  
- The graph shows a normal curve with a shaded area to the right of \( X = 57 \).

**C.**  
- The graph shows a normal curve with a shaded area between \( X = 57 \) and \( X = 68 \). Similar to option A, it correctly represents the probability \( P(57 \leq X \leq 68) \).
Transcribed Image Text:**Question:** Assume the random variable \( X \) is normally distributed with mean \( \mu = 50 \) and standard deviation \( \sigma = 7 \). Compute the probability. Be sure to draw a normal curve with the area corresponding to the probability shaded. \[ P(57 \leq X \leq 68) \] --- Which of the following normal curves corresponds to \( P(57 \leq X \leq 68) \)? **Options:** **A.** - The graph shows a normal curve with a shaded area between \( X = 57 \) and \( X = 68 \). **B.** - The graph shows a normal curve with a shaded area to the right of \( X = 57 \). **C.** - The graph shows a normal curve with a shaded area between \( X = 57 \) and \( X = 68 \). Similar to option A, it correctly represents the probability \( P(57 \leq X \leq 68) \).
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