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- Suppose that elementary students' ages are uniformly distributed from 5 to 13 years old. The unshaded rectangle below with area 1 depicts this. The shaded rectangle depicts the probability that a randomly selected elementary student will be between ages 6.2 and 7.26 years old. Round all answers to 4 decimal places (if possible).The probabilities that the diameter of any item is less than, greater than or equal to some accepted value are respectively 0.05, 0.10 and 0.85. From the total lot, one selects 100 random samples. Find the probability that among them there will be five items with a smaller diameter and five with a larger diameter than the acceptable diameter.What is the probability that a point chosen at random on the grid will lie in the unshaded region? 3/8
- What is the probability that a randomly selected z-value will be greater than 2.23?Samuel F.B. Morse (1791 – 1872), the creator of Morse Code, claimed that 12% of all letters used in the English language were “e”s. Suppose random samples of 196 letters are selected from a book What is the probability that a random sample of 196 letters will contain less than 15% "e"s? Type your calculated z-score here. Express its value to the nearest hundredth (two decimal places). Type your probability here. Express its value to four decimal places. Do not round.Question 1 POST OFFICE According to a USPS study, the weight of a randomly selected shipment box has unknown distribution with a mean of 22.7 lbs and a standard deviation of 4.5 lbs. Let X be the weight of a randomly selected shipment box and let S be the total weight of a random sample of size 9. 1. Describe the probability distribution of X and state its parameters and o: ✓x (μ= X~N 22.70 4.5 2. Explain why the Central Limit Theorem cannot be used T and find the probability that the weight of a randomly selected shipment box is between 12 and 13 lbs. 0.0069 X (Round the answer to 4 decimal places) the original population is normally distributed although the sample size is small (n<30)
- Use the central limit theorem (CLT) to determine the probability ? that the mean taxable wages in James' sample of 50 counties will be less than $26 million. μ=28.29 ?=33.493The mean height of women in a country (ages 20−29) is 64.1 inches. A random sample of 75 women in this age group is selected. What is the probability that the mean height for the sample is greater than 65 inches? Assume σ=2.98. The probability that the mean height for the sample is greater than 65 inches is nothing. (Round to four decimal places as needed.)The mean height of women in a country (ages 20−29) is 63.7 inches. A random sample of 70 women in this age group is selected. What is the probability that the mean height for the sample is greater than 64 inches? Assume σ=2.57. The probability that the mean height for the sample is greater than 64 inches is nothing. (Round to four decimal places as needed.)
- Suppose that the speed at which cars go on the freeway is normally distributed with mean 68 mph and standard deviation 5 miles per hour. Let X be the speed for a randomly selected car. Round all answers to two decimal places. If one of the cars is randomly chosen, find the probability that it is traveling between 65 and 75 mph.The probabilities that the diameter of any item is less than, greater than or equal to some accepted value are respectively 0.05, 0.10 and 0.85. From the total lot, one selects 100 random samples. Find the probability that among them there will be five items with a smaller diameter and five with a larger diameter than the acceptable diameter.The random variable X is the number of occurrences of an event over an interval of ten minutes. It can be assumed that the probability of an occurrence is the same in any two time periods of an equal length. It is known that the mean number of occurrences in ten minutes is 5.3. The probability that there are 8 occurrences in ten minutes is 0.0241 0.1126 0.0771 0.9107
