To solve this problem, we need to use the concept of Z-score in statistics. The Z-score is a measure of how many standard deviations an element is from the mean.

Step 1: Calculate the Z-score. The formula for the Z-score is:

Z = (X - μ) / σ

where:
X is the data point,
μ is the mean,
σ is the standard deviation.

In this case, X = 110, μ = 100, and σ = 5.

So, Z = (110 - 100) / 5 = 2.

Step 2: Look up the Z-score in the Z-table. The Z-table shows the probability that a standard normal random variable Z is less than a given value.

For Z = 2, the value in the Z-table is 0.9772.

So, the probability that an event is less than 110 is 0.9772, or 97.72%.

Question

To solve this problem, we need to use the concept of Z-score in statistics. The Z-score is a measure of how many standard deviations an element is from the mean.

Step 1: Calculate the Z-score. The formula for the Z-score is:

Z = (X - μ) / σ

where:
X is the data point, 
μ is the mean, 
σ is the standard deviation.

In this case, X = 110, μ = 100, and σ = 5.

So, Z = (110 - 100) / 5 = 2.

Step 2: Look up the Z-score in the Z-table. The Z-table shows the probability that a standard normal random variable Z is less than a given value.

For Z = 2, the value in the Z-table is 0.9772.

So, the probability that an event is less than 110 is 0.9772, or 97.72%.

Knowee AI · Accepted Answer

To solve this problem, we need to use the concept of Z-score in statistics. The Z-score is a measure of how many standard deviations an element is from the mean.

Step 1: Calculate the Z-score. The formula for the Z-score is:

Z = (X - μ) / σ

where:
X is the data point, 
μ is the mean, 
σ is the standard deviation.

In this case, X = 110, μ = 100, and σ = 5.

So, Z = (110 - 100) / 5 = 2.

Step 2: Look up the Z-score in the Z-table. The Z-table shows the probability that a standard normal random variable Z is less than a given value.

For Z = 2, the value in the Z-table is 0.9772.

So, the probability that an event is less than 110 is 0.9772, or 97.72%.

Part A - Multiple choice questionsX is normally distributed with a mean of 100 and standard deviation of 5.What is the probability that an event is less than 110?

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