Consider a binomial random variable with n = 5 and p = 0.7. Let x be the number of successes in the sample. Evaluate the probability. (Round your answer to three decimal places.) P(x = 3)
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- 4.43 Consider the probability distribution for the random vari- able x shown here: 2 .4 10 .2 1 4 P(x) 2Classify the random variable X as discrete or continuous. Explain your reasoning. X represents the number of Blu-ray TM discs you own. A. Discrete; the number of discs is countable. B. Continuous; the number of discs could be any number greater than or equal to 0. C. Continuous; the number of discs is countable. D. Discrete; the number of discs could be any number greater than or equal to 0.Please show the full steps. I appreciate it!
- Determine whether the random variable is discrete or continuous. In each case, state the possible values of the random variable. (a) The number of people with blood type A in a random sample of 14 people. (b) The time it takes to fly from City A to City B. (a) is the number of people with blood type A in a random sample of 14 people discrete or continuous? OA. The random variable is continuous. The possible values are 0≤x≤ 14. B. The random variable is discrete. The possible values are x = 0, 1, 2,..., 14. OC. The random variable is discrete. The possible values are 0 ≤x≤ 14. O D. The random variable is continuous. The possible values are x = 0, 1, 2,..., 14. (b) is the time it takes to fly from City A to City B discrete or continuous? .RE OA. The random variable is continuous. The possible values are t> 0. OB. The random variable is discrete. The possible values are t= 1, 2, 3, ... OC. The random variable is discrete. The possible values are t > 0. OD. The random variable is…Help Sav A random variable is binomially distributed with n= 16 and T= 40. The expected value and standard deviation of the variables are %3Dvery morning, Laura practices shooting basketball free throws. She doesn’t shoot a fixed amount, instead she keeps shooting free throws until she makes 12. Suppose Laura is an 82% free throw shooter. Let X be how many free throws Laura will miss tomorrow morning. Then X has a negative binomial distribution. What is a trial? What is a success? How many successes are required? r = What is the success probability? p =
- The accompanying table describes results from groups of 10 births from 10 different sets of parents. The random variable x represents the number of girls among 10 children. Use the range rule of thumb to determine whether 1 girl in 10 births is a significantly low number of girls. E Click the icon to view the table. - X Probability distribution for x Use the range rule of thumb to identify a range of values that are not significant. The maximum value in this range is 8.4 girls. (Round to one decimal place as needed.) Number of Girls x The minimum value in this range is girls. (Round to one decimal place as needed.) P(x) 0.004 0.011 1. 0.036 0.116 0.204 0.246 0.206 4 5 0.113 0.037 8 0.015 10 0.012Groups of adults are randomly selected and arranged in groups of three. The random variable x is the number in the group who say that they would feel comfortable in a self-driving vehicle. Determine whether a probability distribution is given. If a probability distribution is given, find its mean and standard deviation. If a probability distribution is not given, identify the requirements that are not satisfied. OA. H= O B. The table does not show a probability distribution. X P(x) 0 0.368 0.435 0.171 0.026 adult(s) (Round to one decimal place as needed.) 1 Does the table show a probability distribution? Select all that apply. A. Yes, the table shows a probability distribution. B. No, not every probability is between 0 and 1 inclusive. C. No, the sum of all the probabilities is not equal to 1. D. No, the random variable x's number values are not associated with probabilities. E. No, the random variable x is categorical instead of numerical. Find the mean of the random variable x.…Students take an exam. On average, one in three passes. Find the mathematical expectation of the random variable X that represents the number of students who take the exam before the first n students pass.
- 20mins leftDetermine 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 5determine 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. Twenty students are randomly chosen from a math class of 70 students. Let X be the total number of student absences. Part 1 The random variable -does -does not have a binomial distribution Part 2 Choose the statement that explains why X does not have a binomial distribution, more than one may apply -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 -The trials are not independent -X does not represent the number of successes that occur
