answer this questions

1) Find Maximum likelihood estimate of Poisson distribution. 2) Suppose the weights of randomly selected American female college students are normally distributed with unknown mean and standard deviation. A random sample of 10 American female college students yielded the following weights (in pounds): 115 122 130 127 149 160 152 138 149 180 Based on the definitions given above, identify the likelihood function and the maximum likelihood estimator of the mean weight of all American female college students. Using the given sample, find a maximum likelihood estimate of as well. 3) Suppose we have a package of seeds, each of which has a constant probability p of success of germination. We plant n of these and count the number of those that sprout. Assume that each seed sprouts independently of the others. How do we determine the maximum likelihood estimator of the parameter p? 4) A coin is flipped 100 times. Given that there were 55 heads, find the maximum likelihood estimate for the probability p of heads on a single toss