Using your answer in Q4.1, calculate the probability of sampling exactly 1 dirty sock in one sample. Showyour setup in the first box and put your final answer in the second box. Please provide your final answer as apercentage and rounded to two decimal points (e.g. 1.42%)

Question 4 [ 5 points] You are sampling dirty socks out of a very large laundry basket of 10,000 socks, where there are 2 outcomes for your sample: a clean sock (not succem) or a dirty sock (succes). Every sample is size a - 10 and after you sample, you put the socks back into the laundry basket. You take 1000 samples, record the number of successes across 1000 samples, and generate a histogram of these data. Histogram of the number of successes observed across 1000 samples 04- 83 sample num successes 02 Percent in Each Bin Number of Successes Q41 [1 point] Based on the histogram, what is the most likely Q42 [2 points] Based on the information provided in the question, what distribution does this situation most resemble? Justify your answer in one or two sentences. a) Painson bj Binomial