Question
In: Statistics and Probability
pA box of five batteries of whom only two are good.Batteries will be tested in random...
pA box of five batteries of whom only two are good.Batteries will be tested in random order until a good one is identified to use for a flashlight. Let Ybe the number of batteries tested to identify a good one. Find the probability mass function of the random variable Y.
using probability mass function formula
Solutions
orchestra answered 2 years agoRelated Solutions
In a group of 10 batteries, 5 are dead. You choose 2 batteries at random. a)...
In a group of
10
batteries,
5
are dead. You choose 2 batteries at random.
a) Create a probability model for the number of good batteries
you get.
b) What's the expected number of good ones you get?
c) What's the standard deviation?
a) Create a probability model.
Number good
0
1
2
P(Number good)
nothing
nothing
nothing
(Round to three decimal places as needed.)
b) The expected number of good batteries is
nothing.
(Round to two decimal places as...
A firm with yearly net income of $31,000 has only two customers, each of whom makes...
A firm with yearly net income of $31,000 has only two customers,
each of whom makes identical purchases once per year. Timely Tom
makes his purchase today and at the start of next year, while Late
Louie makes his purchase half a year from today and halfway into
next year (18 months from today). Moreover, Late Louie always pays
6 months late, i.e. at year end. What is the NPV of all cash flows
to this firm in the next...
Two brands of car batteries, both carrying 6-year warranties, were sampled and tested under controlled conditions....
Two brands of car batteries, both carrying 6-year warranties,
were sampled and tested under controlled conditions. Five of each
brand failed after the number of months shown. Calculate a) both
sample means and b) both sample standard deviations. Decide c)
which brand battery lasts longer and d) which brand has the more
consistent lifetime. Brand A: 68, 69, 76, 76, 73 Brand B:
61, 69, 68, 67, 61
What are the sample means?A B
What are the sample standard deviations?...
Part B only: Two types of drill bits are being tested for wear. The two types...
Part B only:
Two types of drill bits are being tested for wear. The two types
of drill bits are each tested on 10 different machines, each used
for a variety of parts. The data on wear in mm, over a 2-week
testing cycle is shown below.
Drill Bit
Machine
1
2
1
3.2
2.1
2
3.0
2.4
3
2.4
2.2
4
1.4
1.3
5
3.4
2.8
6
2.0
1.9
7
2.8
2.2
8
3.5
2.5
9
3.1
2.2
10...
A random sample of 6IC's is taken from a large consignment and tested in two independent...
A random sample of 6IC's is taken from a large consignment and
tested in two independent
stages. The probability that an IC will pass either stage is
p.All the 6IC's are tested at the first stage.
If 5 or more pass the test, those which pass are tested at the
second stage.The consignment is accepted if
there is at most one failure at each stage.
a) what is the probability that stage two of the test will be
required?
b)...
Twelve batteries were tested to see how many hours they would last. The frequency is Hours...
Twelve batteries were tested to see how many hours
they would last. The frequency is
Hours
Frequency (f)
Midpoint (Xm)
f*Xm
C f
(X - X̅ )²
f (X - X̅ )²
1-3
1
1+3/2 = 4/2 = 2
1x2 = 2
1
27.5625
27.5625
4-6
4
4+6/2= 10/2= 5
4x5 = 20
1+4 = 5
5.0625
20.25
7-9
5
7+9/2 = 16/2 = 8
5x8 = 40
1+4+5 = 10
0.5625
2.8125
10-12
1
10+12 = 22/2 = 11...
Two marbles are drawn at random and with replacement from a box containing 2 red, 3...
Two marbles are drawn at random and with replacement from a box
containing 2 red, 3 green, and 4 blue marbles. Let's define the
following events: A = {two red marbles are drawn} B = {two green
marbles are drawn} C = {two blue marbles are drawn} D = two marbles
of the same color are drawn}
Find the probabilities of the following events:
(a) P(A), P(B), P(C), and P(D).
(b) P(A|D).
A random sample of 10 batteries is obtained. It is determined that the mean life is...
A random sample of 10 batteries is obtained. It is determined
that the mean life is 5 hours, with a sample standard deviation of
1 hour.
A)Find the 95% confidence interval (CI) for the unknown mean of
the population.
B)Interpret the meaning of the confidence interval.
A program for generating random numbers on a computer is to be tested. The program is...
A program for generating random numbers on a computer is to be
tested. The program is instructed to generate 100 single-digit
integers between 0 and 9. The frequencies of the observed integers
were as follows. At the 0.05 level of significance, is there
sufficient reason to believe that the integers are not being
generated uniformly?
Integer
0
1
2
3
4
5
6
7
8
9
Frequency
9
7
9
6
10
14
8
10
12
15
(a) Find the...
A program for generating random numbers on a computer is to be tested. The program is...
A program for generating random numbers on a computer is to be
tested. The program is instructed to generate 100 single-digit
integers between 0 and 9. The frequencies of the observed integers
were as follows. At the 0.05 level of significance, is there
sufficient reason to believe that the integers are not being
generated uniformly?
Integer
0
1
2
3
4
5
6
7
8
9
Frequency
9
7
9
6
10
14
8
10
12
15
(a) Find the...
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