Explain in simple terms

Luke has five chickens Each one lays an egg per day with 65% probability. 1. This is an example of a binomial distribution 2. What are the parameters of this distribution? Give the symbol of the parameters and the values. n 5 p 0.65 q= 1- 0.65 = 0.35 3. Define the RVas Dot eggs 4. X is a member of the set of { 0 1 , 2, 3 4 , 5) ) 5. How many eggs per day should Luke expect? ECX] = np = 5(0.65) = 3.25 6. What is the standard deviation of the number of daily eggs? = p(1-p) = 15(.65)(.35) 7. What is the most likely number of eggs on a given day? 3 = 1. 06654 8. What is the probability of 4 eggs on a given day? (=) ( , 3 1 2 4 9. What is the probability of at most 4 eggs? (s) 20. 8 840 complementary What is the probability of 4 eggs or less? (s) 10. What is the probability of more than 4 eggs? () ) - P(X =4) = )-0.8840 Page + = 0, 1160