Questions: The shaded region under a Normal distribution with mean 50 and standard deviation 2 is shown. Which of the following is the best choice that corresponds to the shaded region? Select one. Probability of x ≥ 48 Probability of x ≥ 52 Probability of x ≤ 52 Probability of x ≤ 48

The shaded region under a Normal distribution with mean 50 and standard deviation 2 is shown. Which of the following is the best choice that corresponds to the shaded region? Select one. Probability of x ≥ 48 Probability of x ≥ 52 Probability of x ≤ 52 Probability of x ≤ 48

Transcript text: The shaded region under a Normal distribution with mean 50 and standard deviation 2 is shown. Which of the following is the best choice that corresponds to the shaded region? Select one. Probability of $x \geq 48$ Probability of $x \geq 52$ Probability of $x \leq 52$ Probability of $x \leq 48$

Solution

Solution Steps

Step 1: Analyze the shaded region

The shaded region starts at the mean and extends to the right. The mean is 50. This indicates values greater than the mean.

Step 2: Determine the correct inequality

Since the shaded area is to the right of the mean (50), the values included in the shaded region are greater than or equal to 50. This is represented by $x \ge 50$.

Step 3: Compare with the choices

Out of the provided choices, only $P(x \ge 52)$ aligns with the observation that we're looking for values greater than the mean. Although not precisely $x \ge 50$, it represents the shaded region the closest.

Final Answer:

Probability of x ≥ 52

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