Assume you have a population of noon people where 696 of the population has some particular disease. List the given numeric information along with the correct symbols. = m = 6% a} If you take a sample of size 44, can we say that the sampling distribution of is approximately normal? Why or whyr not? Check conditions {use a cutoff of 5 to make your decision}: lCan. we say that the sampling distribution of 33 is approximately normal in this case? [If the answer is no, state the rst conditions in the list above that failed) Select an answer V b) Redo part a assumingp has increased to 3296. [use a cutoff of 5 to make your decision]: Can we say that the sampling distribution of 33 is approximately normal in this case? [If the answer is no, state the rst conditions in the list above that failed) Select an answer V . Question 2 Suppose 1596 of adults in a certain country work from home. 1] If we want to find the probability that fewer than 35 out of a random sample of 250 adults will work from home, a] What is the associated zscore [to 2 decimals]? A 35 b] What is the probability? 13(1) 2: E) = (Round to 4 decimals.] 2] If we want to find the probability that more than 50 out of a random sample of 250 adults will work from home, a] What is the associated zscore [to 2 decimals]? A 50 b] What is the probability? P (p 1') E) = (Round to 4 decimals.] 0 Question 5 1r Mark has a batting average of 0.3. Let I be the number of hits in his next 31] at bats, and let 13 be the sample proportion of Mark's hits. Please answer the following questions, and show your answers to 4 decimal places if necessary. a. 1What is the distribution of X? x ~ x:],[:]; b. Using the distribution of X, calculate the probability that Mark has between 23 and 33 (including 28 E... 33. h... :1 c. 1What is the distribution of 15? a _(:],:]1 d. Using the distribution of 35, calculate the probability that Mark has between 28 and 33 hits? C] Notes: a} If you select the Binomial Distribution, the first value is the sample size, and the second value is the probability. b) If you select the Uniform Distribution, the lower value is the lower bound, and the upper value is the upper bound of the random variable. c) If you select the Normal Distribution, the first value should be the mean, and the second value should be the variance. d) Differences between your answer and the actual answer are likely due to where rounding occurred within the