Question

A communication system consists of n antennas of which m are defective and n-m are functional. Suppose the n antennas are indistinguishable and are lined up in a linear array. The system is called functional as long as no two consecutive antennas are defective. Suppose we randomly line up the n antennas. What is the probability that the resulting system will be functional?

Answer #1

This is the solution to the given question.

A block-spring system consists of a spring with constant
k = 445 N/m attached to a 2.25 kg block on a frictionless
surface. The block is pulled 4.10 cm from equilibrium and released
from rest. For the resulting oscillation, find the amplitude,
angular frequency, frequency, and period. What is the maximum value
of the block's velocity and acceleration?

Consider a population with m+n elements, where n of them are 1
and m of them are 0. Then sample two points randomly from the
population.
a) Suppose we sample them without replacement, which corresponds
to the random sample. Calculate the probability of the outcomes
(0,0), (0,1), (1,0) and (1,1).
b) Suppose we sample them with replacement. Calculate the
probability of the outcomes (0,0), (0,1), (1,0) and (1,1).

A system consists of two particles, each of which has a spin of
3/2. a) Assuming the particles to be distinguishable, what are the
macrostates of the z component of the total spin, and what is the
multiplicity of each? b) What are the possible values of the total
spin S and what is the multiplicity of each value? Verify that the
total multiplicity matches that of part (a). c) Now suppose the
particles behave like indistinguishable quantum particles. What...

A playground ride consists of a disk of mass M = 59 kg
and radius R = 1.9 m mounted on a low-friction axle. A
child of mass m = 18 kg runs at speed v = 2.2 m/s
on a line tangential to the disk and jumps onto the outer edge of
the disk.
(b) Relative to the axle, what was the magnitude of the angular
momentum of the child before the collision?
L|C| =
(c) Relative to the...

Problem 1: Relations among Useful Discrete Probability
Distributions. A Bernoulli experiment consists of
only one trial with two outcomes (success/failure) with probability
of success p. The Bernoulli distribution
is
P (X = k) =
pkq1-k,
k=0,1
The sum of n independent Bernoulli trials forms a binomial
experiment with parameters n and p. The binomial probability
distribution provides a simple, easy-to-compute approximation with
reasonable accuracy to hypergeometric distribution with parameters
N, M and n when n/N is less than or equal...

Can you paraphrase the following rationale for me:
Male Reproductive System
1. Which of the following accurately describes
spermiogenesis?
a. Occurs before puberty
b. Involves stem cells, meiosis, and spermatogenesis
c. Involves cytodifferentiation of early spermatids
d. Occurs in diploid cells
e. Results in the formation of primary spermatocytes
Rationale:
Spermatogenesis, the first part of sperm production involves
mainly mitosis and meiosis and is followed by spermiogenesis, the
final differentiation process occurring in the haploid male germ
cells. Spermatogenesis begins...

A hypothesis test using a Pearson’s correlation coefficient is
an example of what?
A nonparametric statistic
A descriptive statistic
An inferential statistic
A power statistic
1 points
QUESTION 48
What would the scatter plot show for data that produce a Pearson
correlation of r = +0.88?
Points clustered close to a line that slopes down to the
right
Points clustered close to a line that slopes up to the right
Points widely scattered around a line that slopes up...

1. Suppose that a bag contains 3 red chips and 7 white chips.
Suppose that chips are drawn from the bag with replacement, i.e.
the chips are returned to the bag and shuffled before the next chip
is selected. Identify the correct statement.
a.
If many chips are selected then, in the long run, approximately
30% will be red.
b.
If ten chips are selected then three will definitely be red.
c.
If seven consecutive white chips are selected then...

1) When we fit a model to data, which is typically larger?
a) Test Error b) Training Error
2) What are reasons why test error could be LESS than training
error? (Pick all that applies)
a) By chance, the test set has easier cases than the training
set.
b) The model is highly complex, so training error systematically
overestimates test error
c) The model is not very complex, so training error
systematically overestimates test error
3) Suppose we want to...

Which one of the following psychologists is most likely to agree
with the idea that there are "multiple intelligences" that are
independent and distinct?
A) Charles Spearman
B) Claude Steele
C) Howard Gardner
D) Sue Savage-Rumbaugh
Kyle is studying how language abilities change throughout
childhood, and Kelly is studying cognitive changes in late
adulthood. Both Kyle and Kelly are conducting studies in which area
of psychology?
A) clinical psychology
B) humanistic psychology
C) epigenetics
D) developmental psychology
REM sleep is...

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