Question

An unfair coin is flipped 3 times, heads is 4 times as likely to occur than tails.

x= the number of heads.

Find the probability distribution, E(x), and σ(x).

Answer #1

A coin is flipped. If a heads is flipped, then the coin is
flipped 4 more times and the number of heads flipped is noted;
otherwise (i.e., a tails is flipped on the initial flip), then the
coin is flipped 2 more times and the result of each flip (i.e.,
heads or tails) is noted successively. How many possible outcomes
are in the sample space of this experiment?

Suppose that an unfair coin comes up heads 52.2% of the time.
The coin is flipped a total of 19 times.
a) What is the probability that you get exactly 9 tails?
b) What is the probability that you get at most 17 heads?

A coin is flipped 8 times. What is the probability that both
heads and tails occur?

An unfair coin is made so that heads is seven times as likely to
come up as tails when the coin is flipped. An experiment consists
of flipping this coin just once
What weight (or probability) does the outcome 'heads'
have?
What weight (or probability) does the outcome 'tails' have?
Enter your answers as whole numbers or fractions in lowest
terms.
An experiment has sample space S={a,b,c,d,e}. Outcomes b,c,d,e
are equally likely while the likelihood of outcome a is
Wa=7/19...

You select a coin at random: 2/3 of the coins are unfair, 1/3 of
the coins are fair. The fair coins are equally likely to flip heads
or tails. The unfair coins flip heads 3/4 of the times, and tails
1/4 of the times. You flip the selected coin and get heads or
tails. Find (1) the probability that the selected coin is fair
given the flip is heads, (2) the probability that the selected coin
is fair given the...

When coin 1 is flipped, it lands on heads with probability
3
5
; when coin 2 is flipped it lands on heads with probability
4
5
.
(a)
If coin 1 is flipped 11 times, find the probability that it
lands on heads at least 9 times.
(b)
If one of the coins is randomly selected and flipped 10 times,
what is the probability that it lands on heads exactly 7
times?
(c)
In part (b), given that the...

An unfair coin is such that on any given toss, the probability
of getting heads is 0.6 and the probability of getting tails is
0.4. The coin is tossed 8 times. Let the random variable X be the
number of times heads is tossed.
1. Find P(X=5).
2. Find P(X≥3).
3. What is the expected value for this random variable?
E(X) =
4. What is the standard deviation for this random variable? (Give
your answer to 3 decimal places)
SD(X)...

One fair coin and two unfair coins where heads is 5 times as
likely as tails are put into a bag. One coin is drawn at random and
then flipped twice. If at least one of the flips was tails, what is
the probability an unfair coin was flipped?
Every day, Janet either takes the bus or drives her car to work.
She drives her car 30% of the time. When she drives her car, she
packs her lunch 70%...

3. A fair coin is flipped 4 times.
(a) What is the probability that the third flip is tails?
(b) What is the probability that we never get the same outcome
(heads or tails) twice in a row?
(c) What is the probability of tails appearing on at most one of
the four flips?
(d) What is the probability of tails appearing on either the
first or the last flip (or both)?
(e) What is the probability of tails appearing...

When coin 1 is flipped, it lands on heads with probability
3/5 ; when coin 2 is flipped it lands on heads with probability
4/5 .
(a)
If coin 1 is flipped 12 times, find the probability that it
lands on heads at least 10 times.
(b)
If one of the coins is randomly selected and flipped 10 times,
what is the probability that it lands on heads exactly 7
times?
(c)
In part (b), given that the first of...

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