A poll found that 35% of adults do not work at all while on summer vacation. In a random sample of 6 adults, let x represent the number who do not work during summer vacation. Complete parts a through e. a. For this experiment, define the event that represents a "success." Choose the correct answer below. Adults not working during summer vacation Adults working during summer vacation b. Explain why x is (approximately) a binomial random variable. Choose the correct answer below. O A. There are three possible outcomes on each trial. B. The experiment consists of identical trials, there are only two possible outcomes on each trial (works or does not work), and the trials are independent. OC. The experiment consists of only identical trials. O D. The trials are not independent. c. Give the value of p for this binomial experiment. p= .35 d. Find P(x = 4). P(x = 4) = 0.0951 (Round to four decimal places as needed.) e. Find the probability that 2 or fewer of the 6 adults do not work during summer vacation. P(xs2) = (Round to four decimal places as needed.)

please solve 4 a, b and c

You are doing research on balance and fitness.  To complete this research you will need a watch with a second hand.  Identify a random sample of n = 12 men and n = 8 women.  You must answer this question: How do you establish that this sample is truly random? Have each subject perform the following task:   Have the subjects stand with their hands at their side, raise one knee, cross their ankle over the other knee, squat and bring their hands palms together in front of their chest. Time the subject until they put their foot back down on the floor.   b) Ask the following questions: i) How many days per week do they exercise? ii) What is their favorite exercise?   You will analyze your data and compute the following statistics for each group:   1) The Mean and standard deviation of the number of seconds the subject stayed balanced 2) The Median number of days per week exercised 3) The Mode of the favorite exercise 4) The 90% confidence interval of the mean   Construct a complete…

Determine whether the random variable X has a binomial distribution. If it does, state the number of trials n. If it does not, explain why not. Cards are randomly drawn without replacement from a standard deck of 52. Let X be the number of cards that must be drawn before a Heart appears. Part 1 of 2 The random variable does not have a binomial distribution. Part: 1 / 2 Part 2 of 2 Choose a statement that explains why X does not have a binomial distribution. The number of trials is not fixed. There are more than two possible outcomes for each trial. The probability of success is not the same for each trial. O The trials are not independent. O X does not represent the number of successes that occur. X 5

Determine if the following probability experiment represents a binomial experiment. If not, explain why. If the probability experiment is a binomial experiment, state the number of trials, n, and probability of success, p. An investor randomly purchases 8 stocks listed on a stock exchange. Historically, the probability that a stock listed on this exchange will increase in value over the course of a year is 47%. The number of stocks that increase in value is recorded. Select the correct choice below and, if necessary, fill in the answer boxes to complete your answer. O A. Yes, because the experiment satisfies all the criteria for a binomial experiment, n= and p= (Type integers or decimals. Do not round.)

Please explain . Thank you.

Determine if the following probability experiment represents a binomial experiment. If​ not, explain why. If the probability experiment is a binomial​ experiment, state the number of​ trials, n, and probability of​ success, p. A football player who completes 46​% of her passes is asked to throw passes until she misses. The number of passes attempted is recorded.