-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
-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
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
Related questions
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](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fc074fc7e-4e48-46f1-bfc4-aee6ba4e6262%2Fffd4e5c9-c39b-4467-bf43-4d926ccf09c2%2F3yg29w9.jpeg&w=3840&q=75)
Transcribed Image Text:-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
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
Step by step
Solved in 4 steps with 7 images
Knowledge Booster
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, probability and related others by exploring similar questions and additional content below.Recommended textbooks for you
A First Course in Probability (10th Edition)
Probability
ISBN:
9780134753119
Author:
Sheldon Ross
Publisher:
PEARSON
A First Course in Probability (10th Edition)
Probability
ISBN:
9780134753119
Author:
Sheldon Ross
Publisher:
PEARSON