In: Statistics and Probability
1. A really bad carton of 18 eggs contains 7 spoiled eggs. An unsuspecting chef picks 4 eggs at random for this "Mega-Omelet Surprise". Let x be the number of unspoiled eggs in a sample of 4 eggs. Find the probability that the number of unspoiled eggs among the 4 selected is exactly 4.Round your answer to the nearest 4 decimal places.
2. Let x be a continuous random variable that has a normal distribution with a mean of 25 and a standard deviation of 5. Find the probability, rounded to the nearest 4 decimal places, that x is less than or equal to 20.
1) Probability of selecting 4 unspoiled eggs is 0.1078
2) probability that X is less than or equal to 20 is 0.1587