Question

Let X represent the difference between the number of heads and the number of tails when a coin is tossed 42 times. Then P(X=12)= ?

Please show work with arithmetic.

Answer #1

Let X represent the difference between the number of heads and
the number of tails when a coin is tossed 48 times. Then
P(X=8)=
So far I got 0.05946 but it keeps telling me I'm wrong

Let X be the random variable representing the difference between
the number of headsand the number of tails obtained when a fair
coin is tossed 4 times.
a) What are the possible values of X?
b) Compute all the probability distribution of X?
c) Draw the cumulative distribution function F(x) of the random
variable X.

A coin is tossed 5 times. Let the random variable ? be the
difference between the number of heads and the number of tails in
the 5 tosses of a coin. Assume ?[heads] = ?.
Find the range of ?, i.e., ??.
Let ? be the number of heads in the 5 tosses, what is the
relationship between ? and ?, i.e., express ? as a function of
??
Find the pmf of ?.
Find ?[?].
Find VAR[?].

A coin is tossed five times. Let X = the number of heads. Find
P(X = 3).

A coin is tossed repeatedly until heads has occurred twice or
tails has occurred twice, whichever comes first. Let X be the
number of times the coin is tossed.
Find: a. E(X). b. Var(X).
The answers are 2.5 and 0.25

A fair coin has been tossed four times. Let X be the number of
heads minus the number of tails (out of four tosses). Find the
probability mass function of X. Sketch the graph of the probability
mass function and the distribution function, Find E[X] and
Var(X).

Find the correlation p(X,Y), where X is the number of heads and
Y is the number of tails, if a biased coin is thrown with heads p
and tossed n time?

You flip a coin until getting heads. Let X be the number of coin
flips.
a. What is the probability that you flip the coin at least 8
times?
b. What is the probability that you flip the coin at least 8
times given that the first, third, and fifth flips were all
tails?
c. You flip three coins. Let X be the total number of heads. You
then roll X standard dice. Let Y be the sum of those...

let X and Y be
the random variables that count the number of heads and the number
of tails that come up when three fair coins are tossed. Determine
whether X and Y are independent

1. A fair coin will be tossed 200,000 times. Let X denote the
number of Tails. (a) What is the expected value and the standard
deviation of X? (b) Consider a game in which you have to pay $5 in
order to earn $log10(X) when X > 0. Is this a fair game? If not,
your expected profit is positive or negative?

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