Question
In: Statistics and Probability
By experimenting with throwing 4 coins, find the following possibilities 1. What is the probability that...
By experimenting with throwing 4 coins, find the following possibilities
1. What is the probability that the image will appear 3 times at most?
2. What is the probability that the image will appear at least 2 times?
3. What is the probability that the image will appear 1 times at most?
4. What is the probability of the image appearing more than three times?
5. What is the probability that the image will appear at least 3 times?
6. How likely is it to appear 4 times?
7. What is the probability that the image will appear 3 times?
8. What is the probability that the image will not appear?
9. What is the probability that the image will appear between 2 and 4?
10. What is the probability that all results will appear as pictures?
Solutions
orchestra answered 2 years agoRelated Solutions
Suppose Alice flips 4 coins and Bob flips 4 coins. Find the probability that Alice and...
Suppose Alice flips 4 coins and Bob flips 4 coins. Find the
probability that Alice and Bob get the exact same number of
heads.
12 #3 Find the probability of throwing a sum of 6 at least 4 times in...
12 #3
Find the probability of throwing a sum of 6 at least 4 times in
6 throws of a pair of fair dice.
A box contains 5 fair coins, 4 coins that land heads with probability 1/3 , and...
A box contains 5 fair coins, 4 coins that land heads with
probability 1/3 , and 1 coin that lands heads with probability 1/4
. A coin is taken from the box at random and flipped repeatedly
until it has landed heads three times. Let X be the number of times
that the coin is flipped and Y be the probability that the coin
lands heads.
(a) Find the random variables E(X|Y ) and var(X|Y ) in terms of
Y...
A box contains 5 fair coins, 4 coins that land heads with probability 1/3 , and...
A box contains 5 fair coins, 4 coins that land heads with
probability 1/3 , and 1 coin that lands heads with probability 1/4
. A coin is taken from the box at random and flipped repeatedly
until it has landed heads three times. Let X be the number of times
that the coin is flipped and Y be the probability that the coin
lands heads.
(a) Find the random variables E(X|Y ) and var(X|Y ) in terms of
Y...
A box contains 5 fair coins, 4 coins that land heads with probability 1/3 , and...
A box contains 5 fair coins, 4 coins that land heads with
probability 1/3 , and 1 coin that lands heads with probability 1/4
. A coin is taken from the box at random and flipped repeatedly
until it has landed heads three times. Let X be the number of times
that the coin is flipped and Y be the probability that the coin
lands heads.
(a) Find the random variables E(X|Y ) and var(X|Y ) in terms of
Y...
Problem 4) Five coins are flipped. The first four coins will land on heads with probability...
Problem 4) Five coins are flipped. The first four coins will
land on heads with probability 1/4. The fifth coin is a fair coin.
Assume that the results of the flips are independent. Let X be the
total number of heads that result.
(hint: Condition on the last flip).
a) Find P(X=2)
b) Determine E[X]
Suppose 16 coins are tossed. Find the probability of getting the following result using the binomial...
Suppose 16 coins are tossed. Find the probability of getting the
following result using the binomial probability formula and the
normal curve approximation.
Exactly 6 heads.
Binomial probability =
(Round to 4 decimal places.)
Normal curve approximation almost =
(Round to 4 decimal places.)
Find the probability of throwing a sum of 6 at least 7 times in 9 throws...
Find the probability of throwing a sum of 6 at least 7 times in
9 throws of a pair of fair dice.
Two fair coins are flipped at the same time. 1) What is the probability of getting...
Two fair coins are flipped at the same time.
1) What is the probability of getting a match (same face on both
coins)? Answer for part 1 [The answer should be a number
rounded to five decimal places, don't use symbols such as
%]
2) What is the probability of getting at least two heads? Answer
for part 2 [The answer should be a number rounded to five
decimal places, don't use symbols such as %]
Problem(1) (a) Consider the (random) experiment of throwing THREE coins together. Let S denote the sample...
Problem(1) (a) Consider the (random) experiment of throwing
THREE coins together. Let S denote the sample space. List the
elements in S.
(b) If HEAD comes up, you win $2 dollars; you lose $1 dollar if
TAIL shows up. Let X be the random variable that corresponds to the
money you win (a positive value) or lose (a negative value). What
are the values that the random variable X takes?
(c) Suppose that the coin is made and thrown fairly....
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