Answer :
The area of the shaded region under a Normal distribution curve represents the probability of an event occurring within that range. It is calculated by knowing boundary values and looking them up in a standard normal distribution table.
The Normal distribution N(0,1). The normal distribution is a probability function that describes how the values of a variable are distributed. In this case, N(0,1) means the distribution has mean 0 and standard deviation 1. The shaded region represents the probability of a value falling within a certain range.
The 68-95-99.7 Rule, also known as the empirical rule, states that for a normal distribution, 68% of observations will fall within ±1 standard deviation of the mean, 95% will fall within ±2 standard deviations, and 99.7% will fall within ±3 standard deviations. This rule is useful to answer your question
The area of the shaded region represents the probabilities which are equal to the proportion of data within these intervals.
To find the area of the shaded region, you would need to know the values at the edges of the shaded area and look up these values in a standard normal distribution table. Add the total percentage of values that fall within the given range.
Conclusion: in summary, if you know the boundaries of the shaded region, you can use the 68-95-99.7 rule to approximate the probability, or area under the curve. To get an accurate number, use a standard normal distribution table.
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