If only 12% of men in a lost society were honest, compute the probability that the third man that you meet is the first honest man. Compute the values if the random variable: expected value, variance and standard deviation
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- The average number of children a Japanese woman has in her lifetime is 1.37. Suppose that one Japanese woman is randomly chosen. In words, define the random variable X. List the values that X may take on. Find the probability that she has no children. Find the probability that she has fewer children than the Japanese average. Find the probability that she has more children than the Japanese average.Make a table, compute and interpret the mean of a discrete random variable. The probabilities that a costumer will buy 1, 2, 3, 4, or 5 item in a grocery store are 3/10, 1/10, 1/10, 2/10 and 3/10 respectively. What is the average number of items that a costumer will buy?17 percent of U.S. employees who are late for work blame oversleeping. You randomly select four U.S. employees who are late for work and ask them whether they blame oversleeping. The random variable represents the number of U.S. employees who are late for work and blame oversleeping. Find the mean of the binomial distribution. μ=
- Two coins are selected from a pocket that contains 3 nickels and 4 quarters. The random variable is the total value in cents of the 2 selected coins. Find the probability distribution. Find the expected value, variance, and standard deviation.Industry standards suggest that 12 percent of new vehicles require warranty service within the first year. University Toyota in Morgantown, WV sold 10 Toyotas yesterday. Compute the mean of the probability distribution.The president of Doerman Distributors, Inc. believes that 30% of the firm's orders come from first-time customers. A random sample of 100 orders will be used to estimate the proportion of first-time customers. What is the probability that the sample proportion will be within .05?
- A tube of listerine tartar control toothpaste 4.2 ounces. As people use the toothpaste the amount remaining in any tube is random. Assume the amount of toothpaste remaining in the tube follows a uniform distribution. What is the probability that there is more than 1.5 ounces remaining in the tube?After careful research you observe that the number of hackers active on each day is a random variable Bin(3,0.5) distribution. If no hackers are active, the probability of the website failure is 0.15; If one hacker is active the probability of the website failure is 0.3; if two or more hackers are active the probability of the website failure is 0.5. You conclude that the total probability of website failure on a given day is two decimal place). Assuming there is a failure, the probability no hackers are active is (to (to two decimal places).Calculate the probability of a sample mean being at least as high as a specified value when σ is estimated?
- A high percentage of people who fracture or dislocate a bone did not see a doctor for that condition. Suppose the percentage is 1%. Consider a sample in which 300 people are randomly selected who have fractured or dislocated a bone.i. What is the probability that fewer than four of them did not see a doctor?ii. What is the probability that more than seven of them did not see a doctor?Suppose 2 dice are rolled, and suppose the discrete variable x counts the number of 3’s that show up. Plot the probability distribution for x using a bar graph. What is the expected value for the random variable x? What is the variance for the random variable x?Suppose a set of 100 random numbers is normally distributed, with a mean of 50 and standard deviation 2. What is the probability of leaving the number 50?