hrow a lair the smallest even number on the dice and the number appears on the dice. Determine the range and the probability distribution of X, draw the graph of the cumulative distribution function F of the random variable X and find the expected value and the variance of X.
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- Complete (D)Use the probability distribution to complete parts (a) and (b) below. The number of defects per 1000 machine parts inspected Defects 0 1 2 3 4 5 Probability 0.260 0.290 0.234 0.161 0.037 0.018 (a) Find the mean, variance, and standard deviation of the probability distribution.Decide 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 found that 8% say their favorite sport is auto racing. You randomly select 600 adults and ask them to name their favorite sport. Complete parts (a) through (d). Determine whether a normal distribution can be used to approximate the binomial distribution. Choose the correct answer below. O A. No, because ng < 5. O B. Yes, because both np25 and ng 25. O C. No, because np <5. (a) Find the probability that the number of people who say auto racing is their favorite sport is at most 56. |(Round to four decimal places as needed.)
- Decide 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 found that 7% say their favorite sport is auto racing. You randomly select 400 adults and ask them to name their favorite sport. Complete parts(a) through (d).Suppose the number of rides that a visitor enjoys at Disney Find the mean number of rides for a Disney World visitor. World during a day is a random variable with the (Use decimal notation. Give your answer to two probability distribution given in the table. decimal places.) 5 6 7 8 9 10 11 12 p(x)0.040.07 0.09 0.120.200.300.130.05← Five males with an X-linked genetic disorder have one child each. The random variable x is the number of children among the five who inherit the X-linked genetic disorder. 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. child(ren) (Round to one decimal place as needed.) X 0 1 Does the table show a probability distribution? Select all that apply. A. Yes, the table shows a probability distribution. B. No, the random variable x is categorical instead of numerical. C. No, the random variable x's number values are not associated with probabilities. OA. O= child(ren) (Round to one decimal place as needed.) OB. The table does not show a probability distribution. 2 3 4 5 D. No, the sum of all the probabilities is not equal to 1. E. No, not every probability is between 0 and 1 inclusive. Find the mean of the random…
- Determine distribution the shape of the probability for the problem of random walk considering N = 20 and interpret the results to: p = q = 1/2 p = 0.6 e q = 0.4Sephora uses a continuous distribution to describe the sales from one of their beauty events. From business intuition the manager sees generally sales are from $100,000 to $150,000 in their location. What is the probability the sales is more than 120,000?The function f (x) = xc², x = 1, -1, 2, -2, 3, -3In order for the random variable X to be a probability functionWhat should be the constant c. Find the distribution function, expected value, and variance of the random variable X.
- 4. A bag contains 20 balls numbered 1 through 30. Suppose drawing an even numbered ball is considered a "Success'. a. Two balls are drawn from the bag with replacement. Find the probability of getting: i. Two successes ii. exactly one successdetermine 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 occurDecide 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 found that 8% say their favorite sport is auto racing. You randomly select 400adults and ask them to name their favorite sport. Complete parts (a) through (d). (a) Find the probability that the number of people who say auto racing is their favorite sport is at most 38.