Mean and Standard Deviation of a Probability Distribution - Page 2

Questions
  • How to find mode of the following frequency distribution?
  • How can you use a scientific calculator to calculate standard deviation?
  • What is the effect on the mean, median, mode, IQR, and range of each data value is increased by 3?
  • Suppose that the temperature is normally distributed with expectation 50℃ and variance 4℃.What is the probability that the temperature T will be between 48℃ and 53℃?What is the probability that T≥52℃?
  • The standard deviation is 15. If a sample of 100 people is selected, compute the standard error of the mean. What size sample is necessary to double the standard error of the mean?
  • What is the standard deviation of {11, 23, 3, 1, 500, 27, 18, 14, 2}?
  • A fair die is rolled n=113 times, each time observing the number of dots appearing on the topside of the die. The number of dots showing on the topside of toss i is a random variable represented by Xi. What is the mean and standard deviation of Xi?
  • X is a normally distributed random variable with a mean of 22 and a standard deviation of 5. The probability that X is less than 9.7 is what?
  • What is the standard deviation of {1, 3, 3, 11, 50, 270, 180, 140, 1, 8, 90}?
  • What are the mean and standard deviation of a binomial probability distribution with n=20 and p=0.9?
  • If IQ scores are normally distributed with a mean of 100 and a standard deviation of 15, what is the probability of a random person scoring over 110?
  • What is the standard error of: {50.6, 59.8, 50.9, 51.3, 51.5, 51.6, 51.8, 52.0}?
  • X. : 1. 3. 6. 7 P(X) : 0.35. Y. 0.15. 0.2 Find the value of y ? Find the mean (expected value ) ? Find the standard deviation ?
  • What is the formula for the standard error?
  • What is the standard deviation of just one number?
  • The weight of football players is normally distributed with a mean of 200 pounds and a standard deviation of 25 pounds. What is the minimum weight of the middle 95% of the players?
  • Assume that​ women's heights are normally distributed with a mean given by #mu = 62.4# in​, and a standard deviation given by #sigma = 2.8# in. ​(a) If 1 woman is randomly​ selected, find the probability that her height is less than 63 in? ​
  • Assuming that the heights of college women are normally distributed with mean 60 inches and standard deviation 2 inches, what percentage of women are taller than 58 inches?
  • How can you use the standard deviation to calculate variance?
  • Is the standard deviation of a data set invariant to translation?