Answered: -15 X05 P[X}s= 22.3] 15 X'95 .01…

-15 X05 P[X}s= 22.3] 15 X'95 .01 Section 4.4 39. Use Table V of App. A to find each of the following: (a) P[Z<1.57]. (c) P[Z = 1,57]. (e) P[-1.25 1.57]. (f) Z.10- %3D %3D VI

Trigonometry (MindTap Course List)

10th Edition

ISBN:9781337278461

Author:Ron Larson

Publisher:Ron Larson

Chapter6: Topics In Analytic Geometry

Section6.4: Hyperbolas

Problem 5ECP: Repeat Example 5 when microphone A receives the sound 4 seconds before microphone B.

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Estimation

A new framework of data analysis where the new statistical methods are used for interpreting the results and analyzing the data is known as estimation in statistics.

Question

#40 please

-15
X05
P[X}s= 22.3]
15
X'95
.01
Section 4.4
39. Use Table V of App. A to find each of the following:
(a) P[Z<1.57].
(c) P[Z = 1,57].
(e) P[-1.25 <Z<1.75].
(g) Z.90:
(h) The point z such that PI-z<Z< z] = .95.
(i) The point z such that P[-zSZ< z] = ,90. -
40. The bulk density of soil is defined as the mass of dry solids per unit bulk vol-
ume. A high bulk density implies a compact soil with few pores. Bulk density
is an important factor in influęncing root development, seedling emergence,
and aeration. Let X denote the bulk density of Pima clay loam. Studies show
that X is normally distributed with u = 1.5'and o = .2 g/cm³.
(a) What is the density for X? Sketch a graph of the density function. Indicate
on this graph the probability that X lies between 1.1 and 1.9. Find this
probability.
(b) Find the probability that a randomly selected sample of Pima clay loam
will have bulk density less than .9 g/cm³.
(c) Would you be surprised if a randomly selected sample of this type of soil
has a bulk density in excess of 2.0 g/cm³? Explain, based on the probabil-
ity of this occurring.
(d) What point has the property that only 10% of the soil samples have bulk
density this high or higher?
(e) What is the moment generating function for X?
41. Most galaxies take the form of a flattened disc, with the major part of the light
coming from this very thin fundamental plane. The degree of flattening differs
from galaxy to galaxy. In the Milky Way Galaxy most gases are concentrated
near the center of the fundamental plane. Let'X denote the perpendicular dis-
tance from this center to a gaseous mass. X is normally distributed with mean
(b) P[Z<!.57].
(d) P(Z>1.57].
(f) Z.10-
%3D
%3D
VI

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