Final answer:
For a N(60,10) distribution, the area above 65 is approximately 0.308 and the area below 48 is 0.115.
Step-by-step explanation:
For part (a), we want to find the area above 65 for a N(60,10) distribution. To find this, we can standardize the value of 65 using the formula z = (x - μ) / σ, where x is the given value, μ is the mean, and σ is the standard deviation. In this case, z = (65 - 60) / 10 = 0.5. We can then look up the area to the right of 0.5 in the standard normal distribution table or use a calculator to find that the area is approximately 0.308. Rounding to three decimal places, the area above 65 is 0.308.
For part (b), we want to find the area below 48 for a N(60,10) distribution. Again, we can standardize the value of 48 using the formula z = (x - μ) / σ. Here, z = (48 - 60) / 10 = -1.2. We can then look up the area to the left of -1.2 in the standard normal distribution table or use a calculator to find that the area is approximately 0.1151. Rounding to the nearest, the area below 48 is 0.115.