THANK YOU SO MUCH

Question 7: (20pts) (a) Suppose that the lifetime of Badger brand light bulbs is modeled by an exponential distribution with (unknown) parameter ) (P (x ).) =f(x) = >e-). We test 5 bulbs and find they have lifetimes of 2, 3, 1, 3, and 4 years, respectively. We assume the lifetimes of the bulbs are independent. What is the MLE for 2? ( b ) Suppose that a particular gene occurs as one of two alleles (A and a), where allele A has frequency 0 in the population. That is, a random copy of the gene is A with probability 0 and a with probability 1-0. Since a diploid genotype consists of two genes, the probability of each genotype is given by: Genotype AA Aa aa Probability 92 20(1-0) (1-0)2 Suppose we test a random sample of people and find that k1 people are AA, k2 people are Aa, and k3 people are aa. Find the MLE of 0