Using this test, what is the probability that a satisfactory product will be flagged as unsatisfactory? А. В. If the mean number of errors is 0.35 per hour, what is the probability that a product is satisfactory?
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- The probability that a randomly chosen student in a statistics class submits his/her homework on time is 0.12. There is 35 student in the class. Each student does his/her homework independently. What is the standard deviation of X, where X is the number of students who submit the homework on time?Assume that the square footage of a residential house in the US is normally distributed with a mean=1000 and standard deviation=150 square feet. If we select a random house what is the probability that it will be at most 1050 square feet?If the average length of all low-weight babies at the time of birth is known to be 36.5 centimeters with a standard deviation of 2.4 cm, use pnorm() to find the probability that the sample mean length is equivalent to the sample mean of our random sample or larger. random sample mean= 36.82
- The time taken in the cycling phase of a triathlon has a mean 23.16min and standard deviation 8.39min. Find the probability that the mean cycling time taken by a random sample of 38 competitors is greater than 25 minutes. Give your answer in 3 decimal places.Suppose X ~ N(3, 1.2). What value of x is two standard deviations to the right of the mean?An instructor of statistics believes that the mean score of students on the first statistics test is 65 out of 100 marks. He randomly samples 10 statistics student scores and obtains the average scores as 63 with a standard deviation of 5.01. He performs a hypothesis test to know whether the mean score of students is varied from 65 by using a 5% level of significance.
- Suppose that home prices (in thousands of dollars) in a certain region have a mean of 360 and a standard deviation of 180. A realtor randomly selects a sample of 90 homes in the region. Estimate the probability that the sample mean home price from the realtor's data is greater than 400 (thousand dollars). You must justify your solution, and note any assumptions you are making.The mean of small dogs is 4.1 and the standard deviation is .9, what is the probability of choosing a dog that weighs the sum of mean+ standard deviation?, wouldnt the probability be O since you cannot find a small dog exactly at one point?Suppose X ~ N(6, 2). What value of x is two standard deviations to the right of the mean?
- Assume that the readings at freezing on a batch of thermometers are normally distributed with a mean of 0 degrees * C and a standard deviation of 1.00 degrees * C . A single thermometer is randomly selected and tested. Find the probability of obtaining a reading less than - 1.388 degrees * C . If this can be done on the calculator, please explain.The vacation leave time of employees in a firm in a month is normally with a mean of 100 hours and a standard deviation of 20 hours. 1. Find the probability that the vacation – leave time of an employee in a month exceeds 180 hours.Suppose that a random variable Z is distributed according to the normal distribution, with mean 6 and standard deviation 4. What is the probability that Z takes on a value between -1 and 3? Based on the previous concept, code a snippet in RStudio and show the respective graphic of the probability.