Math

Assume the mean height of the soldiers to be 68.22 inches with the variance of 10.8inches square. How many soldiers in the regiment of 1000 would you expect to be-(1.) Over 6 fee tall (2) below 5.5 feet? Assume height to be normally distributed. Given; Pr(0
<z<1.15) =0.3749, Pr(0<z<0.6756) =0.2501

  1. 👍
  2. 👎
  3. 👁
  1. standard deviation is √ variance

    (1.) above the mean
    ... >72" ... Pr(0<z<1.15) = 0.3749 ... 0.5000 - 0.3749 = 0.1251
    ... 0.1251 * 1000 = 125 soldiers

    (2) below the mean
    ... < 66" ... Pr(0<z<0.6756) = 0.2501 ... 0.2501 * 1000 = 250 soldiers

    1. 👍
    2. 👎

Respond to this Question

First Name

Your Response

Similar Questions

  1. algebra

    The record height of a man to date is 8 feet 11 inches​ (107 inches). If all men had identical body​ types, their weights would vary directly as the cube of their heights. Assume that all men do have identical body types. If a

  2. math

    Note: Enter your answer and show all the steps that you use to solve this problem in the space provided. An image of a rocket is shown. The rocket is made up of a triangle, a rectangle, and a trapezoid. The triangle at the top of

  3. Statistics

    Let X1,X2,…,Xn be i.i.d. random variables with mean μ and variance σ2 . Denote the sample mean by X¯¯¯¯n=∑ni=1Xin . Assume that n is large enough that the central limit theorem (clt) holds. Find a random variable Z with

  4. Math

    A glass box shaped like a rectangular prism has with 7 inches length 9 inches height 12 inches is being shipped in a larger box with whipped 10 inches length 10 inches in height 15 inches the space between the glass box on the

  1. Statistics

    Assume the heights of women are normally distributed with a mean given by 63.6 inches and a standard deviation given by 2.5 inches, the US Army requires women's height to be between 58 and 80 inches. Find the percentage of women

  2. math

    The average height of 3 students is 68 inches. If 2 of the students have heights of 70 inches and 72 inches respectively, thenw hat is the height (in inches) of the third student?

  3. algebra

    The volume of a cone varies jointly as the square of its radius and its height. If the volume of a cone is 50π cubic inches when the radius is 5 inches and the height is 6 inches, find the volume of a cone when the radius is 4

  4. algebra

    volume of cone varies jointly as square of its radius and its height if volume of a cone is 27pie cubic inches when radius is 3 inches and height is 9 inches find volume of a cone when radius is 4 inches and height is 3 inches

  1. stat

    assume that the heights of men are normally distributed with a mean of 68.4 inches and a standard deviation of 2.8 inches.if 64 men are randomly selected, find the probability that they have a mean height greater than 69.4 inches

  2. math

    a rectangular container with dimensions 10 inches by 15 inches by 20 inches is to be filled with water, using a cylindrical cup whose radius is 2 inches and whose height is 5 inches, what is the maximum number of full cups of

  3. Math

    Assume the mean height of soldiers to be 68.22 inches with a variance of 10.8 inches. How many soldiers in a regiment of 1000 would you expect to be below 5.53 feet. The heights are assumed to be normally distributed.

  4. Statistics

    Which of these statements is not true about the variance in a binomial distribution B(n, p)? __________ A. For a fixed p, the variance increases as n increases. B. For a fixed n, the variance is maximum when p = 0.5. C. The

You can view more similar questions or ask a new question.