Question

1. Imagine a person who wants to find a job within two months.

(a) Explain why the eventual outcome (finding a job or not finding a job) can be viewed

as a random variable.

(b) Define random variable X corresponding to the outcome in part (a), such that X= 1 if the person finds a job and X = 0 otherwise. Suppose the probability of finding a

job is p. What is the support of X? What is the distribution of X?

Answer #1

1) A car manufacturer knows that the service life (in months) of
the emission sensors in its cars is normally distributed with a
mean of 72 and standard deviation of 9.
(5 points) What is the probability that the sensors will fail
within 5 years in a randomly selected car?
(12 points) What should be the warranty period of these sensors
so that 1% of them fail before the warranty is over.
(3 points) Suppose 3 cars are picked at...

Suppose again that you’re watching the fox in the previous
homework (who had a 1 in 3chance of being successful on any given
hunt), but now you’re going to record the number of successes she
enjoys in the next 10 hunts she engages in. Assume these hunts are
independent of each other. Let X be the number of successful hunts
she executes in her next 10 attempts.What is the distribution of X?
What is the expected value of this r.v.(random...

Sidney
Crosby is a Major League Hockey player and a two-time Olympic gold
medalist with Canada’s men’s hockey team. Consider the experiment
of Crosby’s game scores. There are five experimental outcomes: He
is not scoring, he scores two points, he scores three points, he
scores maximum score of four points. Define the random variable x
as the number of points that Crosby scores on a particular
championship.
Sidney
Crosby’s score statistics for the regular 2007 championship season
were used to...

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...

The percent of fat calories that a person in America consumes
each day is normally distributed with a mean of about
45 and a standard deviation of
7.5 . Suppose that one individual is randomly chosen.
Let X= percent of fat calories.
In each appropriate box you are to enter either a rational
number in "p/q" format or a decimal value accurate to the nearest
0.01 .
(.25) X∼ (pick one) UBNE
( , )
.
(.25) The probability that a person consumes...

Question 1
The production manager of a camera manufacturer claims that
their
latest digital camera is able to focus in just 0.0025 seconds on
the
average. A random sample of the focus time in seconds for 20
cameras
is collected and the times are recorded as follows:
0.0033
0.0028
0.0021
0.0032
0.0020
0.0025
0.0026
0.0022
0.0031
0.0033
0.0022
0.0025
0.0031
0.0024
0.0021
0.0023
0.0028
0.0031
0.0028
0.0035
a) In constructing a confidence interval estimate for the true
average
focus time,...

1. an urn contains 6 marbles of which 2 are blue, 2 are yellow
and 2 are red. Sarah, Sally, and Sandra take their turn drawing two
marbles each, one at a time, and without replacement.
a. if sarah is the first to draw two marbles, what is the
probability she draws two blue marbles?
b. if sarah is the last to draw two marbles, what is the
probability she draws two blue marbles.
c. if sandra is the last...

1. Suppose your customers' incomes are normally distributed with
a mean of $37,500 with a standard deviation of $7,600. What is the
probability that a randomly chosen customer earns less than
$36,000? (Round your answer to three decimal places, eg 0.192.)
2. A continuous random variable X has a normal
distribution with mean 12.25. The probability that X takes a value
less than 13.00 is 0.82. Use this information and the symmetry of
the density function to find the probability...

1.A fair die is rolled once, and the number score is noted.
Let the random variable X be twice this score. Define the variable
Y to be zero if an odd number appears and X otherwise. By finding
the probability mass function in each case, find the expectation of
the following random variables:
Please answer to 3 decimal places.
Part a)X
Part b)Y
Part c)X+Y
Part d)XY
——-
2.To examine the effectiveness of its four annual advertising
promotions, a mail...

1. Consider the following game. For 3 dollars I will allow you
to roll a die one time. In return, I will pay you the value of the
outcome if your roll. (e.g. you roll a 5 and I pay you 5 dollars.)
Let X be the net profit (the value left over after subtracting the
buy in).
(a) Create a probability distribution table listing the possible
values of X and their corresponding probabilities P(X).
(b) Calculate E(X), the expected...

ADVERTISEMENT

Get Answers For Free

Most questions answered within 1 hours.

ADVERTISEMENT

asked 19 minutes ago

asked 21 minutes ago

asked 43 minutes ago

asked 48 minutes ago

asked 57 minutes ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago

asked 2 hours ago

asked 2 hours ago

asked 2 hours ago

asked 2 hours ago