P is a probability density function on a Sample space of (1,2,3) P(1) = 0.38 P(3) = 0.33 Find the Standard Deviation of this Probability Density Function. round to the nearest ten-thousandths
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Farmula used
Sd(x)=√V(x)
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- NoneLet x denote the time taken to run a road race. Suppose x is approximately normally distributed with a mean of 190 minutes and a standard deviation of 21 minutes. If one runner is selected at random, what is the probability that this runner will complete this road race in 224 to 236 minutes? Round your answer to four decimal places. iFind the standard deviation of the random variable X with the given probability distribution. * 1 P(x) 0.34 0.25 0.20 2.
- Suppose that the length of research papers is uniformly distributed from 9 to 22 pages. We survey a class in which 55 research papers were turned in to a professor. We are interested in the average length of the research papers.Give the distribution of ΣX. (Round your standard deviation to three decimal places.)Calculate the probability that the professor will need to read a total of more than 920 pages. (Round your answer to four decimal places.)Find the probability that an individual paper is longer than 16 pages.Find the probability that the average length of 55 papers is more than 16 pages.A random number generator picks a number from 6 to 65 in a uniform manner. Round answers to 4 decimal places when possible. The mean of this distribution is . The standard deviation is . The probability that the number will be exactly 48 is P(x=48)=P(x=48)= . The probability that the number will be between 17 and 22 is P(17<x<22)=P(17<x<22)= . The probability that the number will be larger than 50 is P(x>50)=P(x>50)= . P(x>24∣x<57)=P(x>24∣x<57)= . Find the 21st percentile. Find the minimum for the upper quarter.The round off errors when measuring the distance that a long jumper has jumped is uniformly distributed between 0 and 5.8 mm. Round values to 4 decimal places when possible. b. The standard deviation is c. The probability that the round a. The mean of this distribution is off error for a jumper's distance is exactly 0.3 is P(x-03)-d. The probability that the round off error for the distance that a long jumper has jumped is between 0 and 5 8 mm is PC1.7 x 5.2)- that the jump's round off error is greater than 1.76 is P(x > 1.76) Find the 81st percentile. e. The probability f P(x > 1.4 x > 0.6) h. Find the mnmum for the upper quartile.
- A population of values has a normal distribution with mean 191.4 and standard deviation of 69.7. A random sample of size n = 153 is drawn. A. Find the probability that a single randomly selected value is between 188 and 206.6 round your answer to four decimal places. P=______________ B. Find the probability that a sample of size n=153 is randomly selected with a mean between 188 and 206.6. Round your answer to four decimal places. P=________________Let z be a random variable with a standard normal distribution. Find the indicated probability. (Round your answer to four decimal places.) P(z z 1.44) =K Assume that females have pulse rates that are normally distributed with a mean of μ = 76.0 beats per minute and a standard deviation of o= 12.5 beats per minute. Complete parts (a) through (c) below. a. If 1 adult female is randomly selected, find the probability that her pulse rate is less than 82 beats per minute. The probability is (Round to four decimal places as needed.) b. If 4 adult females are randomly selected, find the probability that they have pulse rates with a mean less than 82 beats per minute. The probability is (Round to four decimal places as needed.) c. Why can the normal distribution be used in part (b), even though the sample size does not exceed 30? OA. Since the original population has a normal distribution, the distribution of sample means is a normal distribution for any sample size. OB. Since the mean pulse rate exceeds 30, the distribution of sample means is a normal distribution for any sample size. C. Since the distribution is of individuals, not sample…
- A normal distribution with a mean of O and a standard deviation of 1 is called O a probability density function. O a standard normal distribution. O an ordinary normal curve. none of the other statements is correct.The round off errors when measuring the distance that a long jumper has jumped is uniformly distributed between 0 and 5.1 mm. Round values to 4 decimal places when possible. The mean of this distribution is . The standard deviation is . The probability that the round off error for a jumper's distance is exactly 4.3 is P(x=4.3)=P(x=4.3)= . The probability that the round off error for the distance that a long jumper has jumped is between 1.5 and 2.5 mm is P(1.5<x<2.5)=P(1.5<x<2.5)= . The probability that the jump's round off error is greater than 1.22 is P(x>1.22)=P(x>1.22)= . P(x>1.8∣x>0.5)=P(x>1.8∣x>0.5)= . Find the 54th percentile. Find the maximum for the lower quarter.Suppose that the weight of an newborn fawn is Uniformly distributed between 2.2 and 3.8 kg. Suppose that a newborn fawn is randomly selected. Round answers to 4 decimal places when possible. The mean of this distribution is The standard deviation is The probability that fawn will weigh exactly 2.4 kg is P(x = 2.4) = The probability that a newborn fawn will be weigh between 2.9 and 3.7 is P(2.9 < x < 3.7) = The probability that a newborn fawn will be weigh more than 2.72 is P(x > 2.72) = P(x > 2.8 | x < 3.5) = Find the 25th percentile.