For the question marks, they are drop down menus with the following options. (Both have the same options)

Is approximately normal

is exactly normal

Is binomial

is uniform

is hypergeometric

is poisson

Problem 5. (1 point) You are to roll a fair die n = 1 12 times, each time observing if the topside of the die shows a 6 (success) or not (failure). After observing the n = 112 tosses, you are to count the number of times the topside showed a 6. This count is represented by the random variable X. (a) The distribution of X ? with a mean # and a standard deviation . Enter your answer using all the decimals you can. (b) Now think about the proportion of your n = 112 tosses that show a six. What can you say about the distribution of this proportion? Complete the sentence, Enter your answer using all the decimals you can. The distribution of p ? with a mean up = and a standard deviation op = (c) What is the probability that the proportion/percentage of your n = 1 12 tosses that show a six will be somewhere between 14% and 21%? Enter your answer using all the decimals you can. (d) After the n = 1 12 tosses of the die, you observe X = 25, the value of the sample proportion is then p = T = 0.2232. What is the probability of observing a sample proportion that is at least this much should you decide to roll this die again 112 times? Enter your answer using all the decimals you can. preview answers