A factory producing Smart Phone Screens produces 20,000 screens a day. The distribution of dead pixels...
A factory machine produces touch screens. The area of the screens produced follows a Normal distribution with mean 143 in- and standard deviation 0.5 in. (a) [2pts) Approximately what percent of screens produced are between 141.5 and 144.5 in? (b) (5pts) What percent of screens produced are between 142.5 and 143.3 in?
A factory produces pistons whose diameters follow a normal distribution with a mean of 50 mm and a standard deviation of 0.01 mm. For a piston to serve, its diameter must be between 49.98 and 50.02 mm. If the diameter is less than 49.98 mm it is rejected; if it is greater than 50.02 mm, it is reprocessed once and the new diameter follows a normal distribution of an average of 49.99 mm, a standard deviation of 0.01 mm. I....
A factory produces pistons whose diameters follow a normal distribution with a mean of 50 mm and a standard deviation of 0.01 mm. For a piston to serve, its diameter must be between 49.98 and 50.02 mm. If the diameter is less than 49.98 mm it is rejected; if it is greater than 50.02 mm, it is reprocessed once and the new diameter follows a normal distribution of an average of 49.99 mm, a standard deviation of 0.01 mm. I....
Page 16 Example: An electronic parts factory produces resistors. Assume the resistance follows a distribution with standard deviation 0.156 ohms. A random sample of 60 resistors has an average resistance of 0.45 ohms. The factory wishes to test that the population mean resistance is less than 0.5 ohms? a. Find the p-value b. Express the rejection region of the above test in terms of the sample mean. c. Find trpel error d. Find the probability of type II error if...
3. A factory produces whiteboard markers. The production process can be modelling by normal distribution with a mean length of 11 cm and a standard deviation of 0.25 cm. (a) What is the probability that a randomly selected whiteboard marker has a length longer than 10.5 cm? 100 whiteboard markers are randomly selected for quality checking. (2 marks) (b) What are the mean and standard deviation of the sample mean length? (2 marks) (c) What is the probability that the...
3. Suppose that the length of iron rods from a certain factory follows the normal distribution with known standard deviation o = 0.2 m but unknown mean u. Construct a 88% confidence interval for the population mean u if a random sample of n = 16 of these iron rods has sample mean of 6 m. Z= E = CI:
According to Pew Research Center 2011 study, a typical American teen owning a cell phone spends an average of 96 minutes a day text messaging. Assume normal distribution with a standard deviation of 33 minutes. a. What percent of teens send less than 75 minutes per day on text messaging? b. Find and interpret P75, the 75th percentile Problem #4 According to a recent study, the mean amount of sleep college students aged 17-24 get on a typical night is...
Question 46 Not yet answered At a factory that produces batteries, every 50th battery is taken from the production line in order to test its quality. This is an example of a Marked out of 1.00 P Flag question Select one: a. stratified random sample. b. systematic sample O c. simple random sample O d. convenience sample. e. voluntary response sample The delivery times for a courier company are uniformly distributed between 2 day and 4 days. What is the...
ustion 2: (Discrete Random variable)[2+2-4 marks] A factory produces components of which I % is defective. The components are in boxes of 10 A box is selected at random (a) Find the probability that the box contains at least 2 defective components. (b) Find the mean and the standard deviation of the distribution Cy e length of life of an instrument produced by a machine has a normal distribution with a mean of 12 months and standard deviation of 2...
. In probability theory, the Normal Distribution (sometimes called a Gaussian Distribution or Bell Curve) is a very common continuous probability distribution. Normal distributions are important in statistics and are often used in the natural and social sciences to represent real-valued random variables whose distributions are not known. Describing the normal distribution using a mathematical function is called a probability distribution function (PDF) which is given here: H The mean of the distribution ơ-The standard deviation f(x)--e 2σ We can...