Below, n is the sample size, p is the population proportion, and p is the sample proportion. First, check if the assumptions are satisfied to use the normal distribution for probabilities. If appropriate, use the Central Limit Theorem to find the indicated probability. n=111 p=0.58 Part 1 of 2 It (Choose one) ▼ appropriate to use the normal distribution for probabilities. Part 2 of 2 P(0.56

Select all that apply. We show that our sample statistics have (at minimum) a somewhat normal distribution because this allows us to use t and z critical values. this allows us to use t and z tables for probabilities. this tells us that our sampling is appropriate. normal distributions are cool and that's all we talk about in this class.

Determine whether you can use the normal distribution to approximate the binomial distribution. If you can, use the normal distribution to approximate the indicated probabilities and sketch their graphs. If you cannot, explain why and use the binomial distribution to find the indicated probabilities. A survey of adults in a region found that 55% have encountered fraudulent charges on their credit cards. You randomly select 100 adults in the region. Complete parts (a) through (d) below. Determine whether a normal distribution can be used to approximate the binomial distribution. Choose the correct answer below. O A. Yes, because both np 25 and nq 2 5. O B. No, because np < 5. O c. No, because nq < 5. (a) Find the probability that the number who have encountered fraudulent charges on their credit cards is (a) exactly 57, (b) at least 57, and (c) fewer than 57. (Round to four decimal places as needed.) Sketch the graph of the normal distribution with the indicated probability shaded. O A.…

You are playing a card came, and the probability that you will win a game is p If you play the game 601 times, what is the most likely number of wins? (Round answer to one decimal place.) μl = Let X represent the number of games (out of 601) that you win. Find the standard deviation for the probability distribution of X. (Round answer to two decimal places.) 0= The range rule of thumb specifies that the minimum usual value for a random variable is u-20 and the maximum usual value is μ+20. You already found μ and o for the random variable X. 0.88. Use the range rule of thumb to find the usual range of X values. Enter answer as an interval using square- brackets and only whole numbers. usual values = Question Help: Written Example Message instructor Submit Question Jump to Answer