Question

1. In this problem, a fair coin is flipped three times. Assume that a random variable X is defined to be 7 times the number of heads plus 4 times the number of tails.

How many different values are possible for the random variable X?

2. Fill in the table below to complete the probability density
function. Be certain to list the values of X in ascending
order.

Value of X | Probability

Answer #1

In this problem, a fair coin is flipped three times. Assume that
a random variable X is defined to be 7 times the number of heads
plus 4 times the number of tails.
How many different values are possible for the random variable
X?

Suppose a fair coin is flipped three times.
A). What is the probability that the second flip is heads?
B). What is the probability that there is at least two
tails?
C). What is the probability that there is at most two heads?

Given a fair coin, if the coin is flipped n times, what is the
probability that heads is only tossed on odd numbered tosses.
(tails could also be tossed on odd numbered tosses)

As in the previous problem, a fair coin is flipped 28 times. If
X is the number of heads, then the distribution of X can be
approximated with a normal distribution, N(14,2.6), where the mean
(μ) is 14 and standard deviation (σ) is 2.6. Using this
approximation, find the probability of flipping 18 or 19 heads. You
may use the portion of the Standard Normal Table below.
z1.21.31.41.51.61.71.81.92.02.12.20.000.88490.90320.91920.93320.94520.95540.96410.97130.97720.98210.98610.010.88690.90490.92070.93450.94630.95640.96490.97190.97780.98260.98640.020.88880.90660.92220.93570.94740.95730.96560.97260.97830.98300.98680.030.89070.90820.92360.93700.94840.95820.96640.97320.97880.98340.98710.040.89250.90990.92510.93820.94950.95910.96710.97380.97930.98380.98750.050.89440.91150.92650.93940.95050.95990.96780.97440.97980.98420.98780.060.89620.91310.92790.94060.95150.96080.96860.97500.98030.98460.98810.070.89800.91470.92920.94180.95250.96160.96930.97560.98080.98500.98840.080.89970.91620.93060.94290.95350.96250.96990.97610.98120.98540.98870.090.90150.91770.93190.94410.95450.96330.97060.97670.98170.98570.9890

An ordinary (fair) coin is tossed 3 times. Outcomes are thus
triples of "heads" (h) and "tails" (t) which we write hth, ttt,
etc. For each outcome, let R be the random variable counting the
number of heads in each outcome. For example, if the outcome is
ttt, then =Rttt0. Suppose that the random variable X is defined in
terms of R as follows: =X−R4. The values of X are thus:
Outcome
tth
hth
htt
tht
thh
ttt
hht
hhh...

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...

4. A fair coin is flipped 6 times.
a. what is the distribution
of outcomes?
b. what is the probability
of getting 4 heads/2 two tails in six flips of a
coin?

If a fair coin is flipped 120 times, what is the probability
that:
The number of heads is more than 70
The number of heads between 50 and 70?

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).

1) An irregular coin (? (?) = ?? (?)) is thrown 3 times. ?
discrete random variable; ? = "number of heads - number of tails"
is defined. Accordingly, ? is the discrete random variable
number of heads - number of posts
a) Find the probability distribution table.
b) Cumulative (Additive) probability distribution table; ?
(?)
c) Find ? (?≥1).

ADVERTISEMENT

Get Answers For Free

Most questions answered within 1 hours.

ADVERTISEMENT

asked 2 minutes ago

asked 26 minutes ago

asked 29 minutes ago

asked 33 minutes ago

asked 51 minutes ago

asked 54 minutes ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago