Needing Help with Statistics Homework!!

1. State the criteria for a binomial probability experiment. Choose the correct answer below. Select all that apply. A. The probability of success, p, remains constant for each trial of the experiment. B. Each trial has two possible mutually exclusive outcomes: success and failure. C. The trials are D. The experiment consists of a fixed number, n, of trials. 2. A binomial experiment is performed a fixed number of times. What is each repetition of the experiment called? Choose the correct answer below. O A. Each repetition of the experiment is called a success. O B. Each repetition of the experi ment is called a mean. O C. Each re t is called a binomial random variable. D. Each repetitio t is called a trial. 3. Determine if the following stater ent is true or false. In the binomial probability distribution function, , Cx represents the number of ways of obtaining x successes in n trials. Choose the correct answer on the below False True What is the formula for the expected number of succes s and probability of success p? Choose the correct forumla below. O A. E(X) = Vnp(1 - P) O B. E(X) = (1 -P)"(1-p)" O C. E(X) = n O D. E(X) = P 5. Determine whether the following p ason for your answer. An experimental drug is admini favorably recorded, stered to 120 randomly selected individuals, with the number of individuals responding Does the probability ex iment? A. No, because the pr ss differs from trial to trial. O B. No, becaus there are more than two mutually exclusive outcomes for each trial. O C. Yes, because the exper satisfies all the criteria for a binomial experiment. O D. No, because the trials of the exper nt are not independent. Determine whether the following probability e its a binomial exper iment and explain the reason for your answer. Four cards are selected from a stan placement. The number of hearts selected is recorded. Does the probability experiment re experiment? O A. Yes, because the exper it satisfies all the criteria for a binomial experiment O B. No, because the experi umber of times. O C. No, because the trials of the exper dent and the probability of success differs from trial to trial. D. No, because outcomes for each trial. A binomial probability experiment is conducted with the given parameters. Compute the probability of x successes in the n independent trials of the experiment. n= 12, p=0.3, x = 5 P(5) = (Do not round until the final answer. Then round to four decimal places as needed.) According to an airline, flights on a certain route are on time 80% of the time. Suppose 15 flights are randomly selected and the number of on-time flights is recorded. a) Explain why this is a binomial experiment. (b) Find and interpret the probability that exact 9 flights are on time. (d) Find and interpret the probability that at least 9 flights are on time. (e) Find and interpret the probability that between 7 and 9 flights, inclusive, are on time. (a) Identify the statements that explain why this is a binomial experiment. Select all that apply. A. The experime er of times. B. There are two mutually ex mes, success or failure C. The trials are independent. D. There are three mutually exclusive possibly outcomes, arriving on-time, arriving early, and arriving late. E. The experiment is performed until a desired number of successes is reached. F. The probability of success is the same for each trial of the experiment. G. Each trial dep Is on the previous trial. (b) The probability that exactly 9 flights are on time is (Round to four decimal places as needed.) Interpret the probability In 100 trials of this experiment, it is expected abou to result in exactly 9 flights being on time. (Round to the nearest whole (c) The probability that fewer than 9 flights are on time is (Round to four decimal places as needed.) Interpret the probability. In 100 trials of this experiment, it is expected about to result in fewer than 9 flights being on time. (Round to the nearest whole number as needed.) (d) The probability that at least 9 flights are on time is (Round to four decimal places as needed.) Interpret the probability In 100 trials of this experiment, it is expected abou to result in at least 9 flights being on time. (Round to the nearest whole number as needed.) e) The probability that between 7 and 9 flights, inclusive, are on time is (Round to four decimal places as needed.) Interpret the probability In 100 trials of this experimer expected about to result in between 7 and 9 flights, inclusive, being on (Round to the nearest whole number as needed.) 9. According to an almanac, 80% of adult smokers efore turning 18 years old. (a) Compute the mean and standard deviation of the random variable X, the number of smokers who started before 18 in 400 trials of the probability experiment. (b) Interpret the mean. Would it be unusu king before turning 18 years old in a random sample of 400 adult smokers? Why? (a) Hx (Round to the nearest tenth as needed.) (b) What is the correct interpretation of the mean? () A. It is expected that in a random sample of 400 adult sm smoking after turning 18. O B. It is expected that in a random sa before turning 18. O C. It is expect king before turning 18. (c) Would it be unusual to 400 adult smokers? O A. Yes, because 360 is greater than u + 20. O B. No, be ause 360 is less than u - 20. O C. No, because 360 is greater than u + 20. D. Yes, because 360 is between u - 20 and u + 20. E. No, because 360 is bet en u - 20 and ul + 20. Suppose that a poll taken 10 years ago found that 62% of parents spank their children. Suppose a recent poll of 350 adults with children finds that 190 indicated that they spank their children. Complete parts (a) and (b) below. (a) Assuming parents' attitude toward spanking has not changed since the original poll, how many of the 350 parents surveyed would be expected to spank their children? The expected amount of parents surveyed that would spank their children is (Round to the nearest whole number as needed.) Why? b) Do the results of the survey suggest that parents' attitude toward spanking may have changed since the original poll? O A. Yes, 190 is outside the "us servation interval of this survey. O B. No, 190 is inside the "usual vation interval of this survey. O C. Yes, 190 is less than the expected amount of adults that spank their children. O D. No, 190 is wit mount of adults that spank their children. 11. Describe how the value of n affects the shape of the binomial probability histogram. Choose the correct answer below. O A. As n decreases, the binomial distribution becomes more bell shaped. O B. As n O C. As n decrea hes skewed left O D. As n increases, the binomial distribution becomes more bell shaped. E. The value of n does not affect the shape of the binomial probability histogram