The method of Approximating Using Normal Distribution deals with the utilization of the normal distribution, commonly depicted as a bell curve, to predict the likelihood of an event's occurrence. This is founded on the central limit theorem which postulates that a sufficiently large sample size and independent, uniformly distributed variables are necessary.
| Topic | Problem | Solution |
|---|---|---|
| None | A company manufactures light bulbs which have a m… | First, we calculate the z-score of 4800, which is given by \(Z = \frac{X - \mu}{\sigma}\), where \(… |
| None | Question 8 of 10, Step 1 of 1 Consider the probab… | This problem involves a binomial distribution, but we are asked to approximate it using the normal … |
| None | Part 4 of 8 Points: 0.13 of 1 Determine whether y… | Given that the number of trials (n) is 100 and the probability of success (p) is 0.63, we first nee… |
| None | Determine whether you can use the normal distribu… | Given that n = 100, p = 0.63, and q = 1 - p = 0.37 |
| None | A binomial experiment is given. Decide whether yo… | We are given a binomial experiment where n=60 (the number of adults selected) and p=0.59 (the proba… |