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. 👍 1
2. 👎 1
3. 👁 537
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
2. 👎 1

Similar Questions

1. Geometry/Math

Two right circular cylinders have equal volume. The first cylinder has a radius of 6 inches and a height of 12 inches. What is the number of inches in the height of the second cylinder if its radius is 8 inches? Express your

asked by Amanda on May 13, 2015
2. 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

asked by Help on May 25, 2020
3. 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

asked by i'm confused on January 5, 2010
4. Geometry

1.What is the perimeter of a rectangle with width 10 inches in length 13 inches? A.23inches B.36inches C.46inches*** D.130inches 2.What is the area of a triangle with base 19 inches and height 11 inchinches? A.209square inches

asked by GummyBears18 on September 6, 2016
5. 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

asked by Kahoho on March 30, 2014
1. Calculus

A rectangle has width w inches and height h, where the width is twice the height. Both w and h are functions of time,t, measured in seconds. If A represents the area of the rectangle, what is the rate of change of A with respect

asked by Anonymous on December 2, 2019
2. statistics

The height of an adult male is known to be normally distributed with a mean of 69 inches and a standard deviation of 2.5 inches. The height of the doorway is 74 inches. What proportion of adult males will not fit under the door?

asked by judy on February 9, 2014
3. 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

asked by leslie on March 12, 2013
4. Math

The hypotenuse (side C) of a triangle is 13 inches long. Which of the following pairs of measurements could be correct for the lengths of the other two sides of the triangle? (Note: N + 82 =C2) A. 2.5 inches,4 inches B. 2.5

asked by J on July 22, 2014
5. mathematics

Ace Tennis Balls manufacturer sells tennis balls in cylindrical cans. Each can has a diameter of 3.5 inches and a height of 8.9 inches The manufacturer has a choice of two boxes to use for shipping the cans of tennis balls. The

asked by Samuel on May 25, 2020