Question

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

Answer #1

when we toss a coin there is two outcomes. One head and one tail.

Let A be the number of heads

and B be the number of tails

When a coin is tossed 48 times then,

For the difference between the number of heads and the number of tails to be 8 when a coin is tossed 48 times is

or

on solving for A, which means either the number of heads is 28 or 20

so solving using the binomial probability distribution

probability of success: p = 0.5

the total number of trials: n= 48

P(X=8) = P(A=28) + P(A=20)

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.

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).

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...

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?

STATISTICS/PROBABILITY: Let X= the # of heads when 4 coins are
tossed.
a.) Find the expected number of heads
b.) Find the variance and standard deviation
so far I have
x
0
1
2
3
4
P(x)
1/16
4/16
6/16
4/16
1/16

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)...

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