e) The measured voltage in an electrical circuit has a normal distribution with mean 120 V...
b) A loaded dice never lands showing the number 2, lands showing 6 with probability 1/3, and all other numbers with probability 1/6. i) Calculate the probability that 3 such loaded dice land showing the same number 4 marks] Calculate the probability that when one such loaded dice is thrown together 3 marks] ii) with a fair dice they land showing the same number. c) The mean free path of a hydrogen molecule in air is 110 nm at standard...
Calculate the voltage drop between a distribution panel supplying 120 V to an electrical device that is 200 ft. away from the panel (one circuit – one phase) if the amperage is current = 15 A and copper wires of AWG 14 are used. What is the Voltage available at this device?
In a symmetric distribution, what is the approximate percentage of data values that lie between two standard deviations below the mean and one standard deviation above the mean? a) 84% 9. 10. Using this set of data: (122, 134, 126, 120, 128, 130, 120, 118, 125, 122, 126, 136, 118, 122, 124, 119), what is the percentile rank of 126 rounded to the nearest percent? a)41 11. Find the probability of getting a sum a) 5/18 (S or 6) when...
The daily demand for coffee in a coffee shop approximately has a normal distribution with mean 220 cups and standard deviation 40. Assuming that the demands in different days are independent, what is the probability that the average demand in the next five days exceeds 240? ( Hint: Sum of five independent normal variables have also a normal distribution N(220, 40^2 /5), standard deviation=sqrt(40^2 /5). Use pnorm )
A population forms a normal distribution with a mean of µ = 120 and a standard deviation of σ = 14. If two scores were selected from this population, how much distance would you expect, on average, between the second score and the population mean? A sample of n = 20 scores from this population has a mean of M = 90, do you think this sample is relative typical or extreme to the population? Explain. With a large standard...
Consider a normal distribution with mean 25 and standard
deviation 5. What is the probability a value selected at random
from this distribution is greater than 25? (Round your answer to
two decimal places.)
Assume that x has a normal distribution with the specified
mean and standard deviation. Find the indicated probability. (Round
your answer to four decimal places.)
μ = 14.9; σ = 3.5
P(10 ≤ x ≤ 26) =
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Assume that x has a...
A sample of 10,000 electrical measurements has a mean of 380 kilovolts and standard deviation = 5 kilovolts. The measurement does not follow any particular distribution. (a). use Tchebysheff's theorem to find the range of measurements [low, high] so that probability will be at least 80% (b). Use Tchebysheff's theorem to find the measurement value that will be greater than at most 5% of the time
Given a normal distribution, X, with mean, 120, and standard deviation, sigma = 49. A. What is the X value with Z-score equal to z = 2.59?_____ B. What is the probability of X is less than or equal to 283.9?____ %
A population has a normal distribution with a mean of 50 and a standard deviation of 10. If a random sample of size 9 is taken from the population, then what is the probability that this sample mean will be between 48 and 54?
a. Consider a normal distribution with mean 20 and standard deviation 4. What is the probability a value selected at random from this distribution is greater than 20? (Round your answer to two decimal places. b. Assume that x has a normal distribution with the specified mean and standard deviation. Find the indicated probability. (Round your answer to four decimal places.) μ = 14.3; σ = 3.5 P(10 ≤ x ≤ 26) = c. Assume that x has a normal...