To find the probability that a randomly selected case will have a score of less than 14, we first need to convert the score of 14 to a z-score. The z-score is calculated as follows:

z = (X - μ) / σ

where:
- X is the score of interest (in this case, 14)
- μ is the mean of the distribution (in this case, 12.30)
- σ is the standard deviation of the distribution (in this case, 3.11)

So, the z-score for a score of 14 is:

z = (14 - 12.30) / 3.11 = 0.546

Next, we need to find the probability that corresponds to this z-score. We can do this by looking up the z-score in a standard normal distribution table, or using a calculator or software that can calculate probabilities for the standard normal distribution.

The probability that corresponds to a z-score of 0.546 is approximately 0.708. This means that there is a 70.8% chance that a randomly selected case will have a score of less than 14.

So, the closest answer among the options provided is 0.71.

Question

To find the probability that a randomly selected case will have a score of less than 14, we first need to convert the score of 14 to a z-score. The z-score is calculated as follows:

z = (X - μ) / σ

where:
- X is the score of interest (in this case, 14)
- μ is the mean of the distribution (in this case, 12.30)
- σ is the standard deviation of the distribution (in this case, 3.11)

So, the z-score for a score of 14 is:

z = (14 - 12.30) / 3.11 = 0.546

Next, we need to find the probability that corresponds to this z-score. We can do this by looking up the z-score in a standard normal distribution table, or using a calculator or software that can calculate probabilities for the standard normal distribution.

The probability that corresponds to a z-score of 0.546 is approximately 0.708. This means that there is a 70.8% chance that a randomly selected case will have a score of less than 14.

So, the closest answer among the options provided is 0.71.

Knowee AI · Accepted Answer

To find the probability that a randomly selected case will have a score of less than 14, we first need to convert the score of 14 to a z-score. The z-score is calculated as follows:

z = (X - μ) / σ

where:
- X is the score of interest (in this case, 14)
- μ is the mean of the distribution (in this case, 12.30)
- σ is the standard deviation of the distribution (in this case, 3.11)

So, the z-score for a score of 14 is:

z = (14 - 12.30) / 3.11 = 0.546

Next, we need to find the probability that corresponds to this z-score. We can do this by looking up the z-score in a standard normal distribution table, or using a calculator or software that can calculate probabilities for the standard normal distribution.

The probability that corresponds to a z-score of 0.546 is approximately 0.708. This means that there is a 70.8% chance that a randomly selected case will have a score of less than 14.

So, the closest answer among the options provided is 0.71.

Variable A is normally distributed with μ = 12.30 and σ = 3.11. What is the probability that a randomly selected case will have a score of less than 14?1 point0.880.290.710.12

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