Question

A certain type of eggs has 3 bad eggs and 9 good eggs. An
omelette is made 3 eggs randomly chosen from the carton. What is
the probability that there are

I. No bad eggs II. At least 1 bad egg III. Exactly 2 bad eggs in
omelette

Answer #1

I have two bags. Bag 1 contains 3 green balls, while bag 2
contains 2 green balls.
I pick one of the bags at random, and throw 5 red balls in it. Then
I shake the bag and choose
4 balls (without replacement) at random from the bag.
(a) If bag 1 is picked, what is the probability that there are
exactly 2 red balls among
the 4 chosen balls?
(b) If bag 2 is picked, what is the probability...

1. In a list of 15 households, 9 own homes and 6 do
not own homes. Five households are randomly selected from these 15
households. Find the probability that the number of households in
these 5 own homes is exactly 3.
Round your answer to four decimal places
P (exactly 3)=
2. A really bad carton of 18 eggs contains 9 spoiled
eggs. An unsuspecting chef picks 6 eggs at random for his "
Mega-Omelet Surprise." Find the probability that...

Suppose the probability that a randomly selected person has a
certain type of gene is 0.10. A randomly selected group of people
are tested for this gene. What is the probability that the third
person carrying this gene will be found at the eighth
selection?

1. Two identical eggs were thrown at the same time from the top
of a building of height 100 m at a speed 20. One egg was thrown at
an angle 40° above the horizontal while another was thrown at the
same angle but below the horizontal. How long does it take for the
other egg to hit the ground after the one of the eggs hits the
ground?
Does the time difference between the eggs hitting the ground
depend...

A certain type of lobster is exceedingly rare; roughly 1 in
every 30 million lobsters hatched is this type of lobster. Apply
the Poisson approximation to the binomial distribution to answer
the following questions. a. Of 100 million lobsters hatched, what
is the probability that between 3 and 5, inclusive, are this type
of lobster? b. Roughly how many lobsters must be hatched in order
to be at least 90% sure that at least one is this type of
lobster?

One of your suppliers has belatedly realised that about 10% of
the batches of a particular component recently supplied to you have
a manufacturing fault that has reduced their reliability. There is
no external or visual means of identifying thes substandard
components. Battch identity has, however been maintained, so your
problem is to sort batches that have this fault('bad batches') from
the rest ('good batches'). An accelerated test has been devised
such that components from good batches have a faliure...

Seven women are chosen for a group date on The Bachelor. The
pool of women to choose from consists of 8 yoga instructors, 9
professional organizers, 10 VIP cocktail waitresses, and 3 aspiring
dolphin trainers. Find the probability that:
(a) 3 yoga instructors, 2 professional organizers, 1 cocktail
waitresses, and 1 aspiring dolphin trainer are chosen;
(b) at least 2 yoga instructors are chosen;
(c) all of the seven women have the same profession;
(d) either exactly 3 yoga instructors...

question 1:
the casino has tow types of gambling machine , type A and type B
, the winning probability of type A is 20%,and the winning
probability of type B is 30%, so if we know that 60% of gambling
machine in casino are type A , and 40% are type B :
(a) one gambler select randomly one gampling machine and played
, what is the probability that he will win ?
(b)if the gambler win, what is...

IQ: Scores on a certain IQ test are known to have a mean of 100
. A random sample of 51 students attend a series of coaching
classes before taking the test. Let μ be the population mean IQ
score that would occur if every student took the coaching classes.
The classes are successful if μ > 100 . A test is made of the
hypotheses
H0 :μ=100 versus H1 :μ>100. Consider three possible conclusions:
(i) The classes are successful....

Recently, research suggested that eating eggs is again
considered potentially bad for your heart health. You are part of a
team that did a healthy diet information talk to 50 students
randomly chosen at the University of Arizona. After a year, you
surveyed the same 50 people to find out if the average number of
eggs eaten was significantly less than the US average of 1.7 per
week. The sample mean was 1.5 eggs/week and sample standard
deviation was 0.3...

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