To find the proportion of cakes that are under 298g, we can use the standard normal distribution.

Step 1: Calculate the z-score for 298g using the formula: z = (x - μ) / σ, where x is the value we want to find the proportion for, μ is the mean, and σ is the standard deviation.
In this case, x = 298g, μ = 300g, and σ = 3g.
Plugging in the values, we get: z = (298 - 300) / 3 = -2/3.

Step 2: Look up the z-score in the standard normal distribution table or use a calculator to find the corresponding proportion.
From the table or calculator, we find that the proportion of cakes that are under a z-score of -2/3 is approximately 0.2520.

Therefore, the proportion of cakes that are under 298g is approximately 0.2520 or 25.20%.

Question

To find the proportion of cakes that are under 298g, we can use the standard normal distribution.

Step 1: Calculate the z-score for 298g using the formula: z = (x - μ) / σ, where x is the value we want to find the proportion for, μ is the mean, and σ is the standard deviation. 
In this case, x = 298g, μ = 300g, and σ = 3g. 
Plugging in the values, we get: z = (298 - 300) / 3 = -2/3.

Step 2: Look up the z-score in the standard normal distribution table or use a calculator to find the corresponding proportion. 
From the table or calculator, we find that the proportion of cakes that are under a z-score of -2/3 is approximately 0.2520.

Therefore, the proportion of cakes that are under 298g is approximately 0.2520 or 25.20%.

Knowee AI · Accepted Answer

To find the proportion of cakes that are under 298g, we can use the standard normal distribution.

Step 1: Calculate the z-score for 298g using the formula: z = (x - μ) / σ, where x is the value we want to find the proportion for, μ is the mean, and σ is the standard deviation. 
In this case, x = 298g, μ = 300g, and σ = 3g. 
Plugging in the values, we get: z = (298 - 300) / 3 = -2/3.

Step 2: Look up the z-score in the standard normal distribution table or use a calculator to find the corresponding proportion. 
From the table or calculator, we find that the proportion of cakes that are under a z-score of -2/3 is approximately 0.2520.

Therefore, the proportion of cakes that are under 298g is approximately 0.2520 or 25.20%.

A cake company produces cakes with approximately normally distributed with a mean of 300g and a standard deviation of 3g.Find the proportion of cakes that are under 298g. [1 mark]

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