If Z is a standard normal distribution, what is P(|Z| < 1.44)? (a) 0.93 (b) 0.85 (c) 0.90 (d) 0.80 (e) None of the above
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Z is a standard normal distribution
P(|Z|<1.44)=
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- 9. Which of the following statements is not a characteristic of the standard normal distribution below? Normal Distribution Curve Density 0.4 -1 0.3 0.2 0.1 -3 -2 A. The total area under the curve equals 1. B. The standard normal distribution curve has a fixed mean of 0. C. The standard normal distribution curve has a fixed standard deviation of 1. D. The normal distribution curve has left tail that extend infinitely. E. The standard normal distribution curve is negatively skewed. F. The normal distribution curve has right tail that extend infinitely. 2 3 curve shownPlease solveWhen asked: "What is the distribution of X ? X ~ N(___,___)." This notation is referring to N, a normal distribution, with the mean given in the first space and the standard deviation in the second space. Remember that the standard deviation of the sample means is different from the population standard deviation. The lengths of adult males' hands are normally distributed with mean 190 mm and standard deviation 7 mm. Suppose that 11 individuals are randomly chosen. Round final answers to 4 decimal places. a. What is the distribution of x? x N( b. For the group of 11, find the probability that the average hand length is more than 189. c. Find the first quartile for the average adult male hand length for this sample size. d. For part b), is the assumption that the distribution is normal necessary? Yes No
- Find the following probability for a normal distribution p(z < -1.50) p =Let x be a random variable representing dividend yield of bank stocks. We may assume that x has a normal distribution with ? = 1.8%. A random sample of 10 bank stocks gave the following yields (in percents).5.7 4.8 6.0 4.9 4.0 3.4 6.5 7.1 5.3 6.1 I need help with sketching the distribution and (d) and (e)for the binomial distribution with a given values for n and p stayed whether or not it is suitable to use the normal distribution as an approximation. n=65 and p=0.7 A. Normal approximation is not suitable B. Normal approximation is suitable
- Which of the following statements are TRUE about the normal distribution? Check all that apply. __ The area to the left of a z-score plus the area to the right of that same z-score will always equal 1. __ A data value with z-score = -1.5 standard devaitions below the mean. __ The Empirical Rule only applies when a value is exactly 1, 2, or 3 standard deviations away from the mean. __ A z-score is the number of standard deviations a specific data values is from the mena of the distribution. __ The mean corresponds to the z-score of 1.The time that it takes for the next train to come follows a Uniform distribution with f(x) =1/50 where x goes between 2 and 52 minutes. Round answers to 4 decimal places when possible. A. This is a Uniform or Normal distribution? B. Is it a Discrete or Continuous distribution? C. What is the mean of this distribution?Viko
