SOLUTION: Q1) Three fair coins are tossed. The number of heads obtained is recorded
a] Write down a suitable sample space for this experiment
Let A = "number of heads equals 2"
Let B
Algebra.Com
Question 192152: Q1) Three fair coins are tossed. The number of heads obtained is recorded
a] Write down a suitable sample space for this experiment
Let A = "number of heads equals 2"
Let B = "at least one head is obtained"
b] Giving a reason, state whether A and B are mutually exculsive
c] Calculate P(A) and P(B)
d] Giving a reason, state whether A and B are independent.
e] Calculate P (A/B)
The experiment of tossing three coins is repeated, only this time with three biased coins. Each coin has probability 0.7 of turning up heads. Let the random variable Y denote the number of heads obtained.
f] Write down the range of Y
g] For each number k in the range of Y, calculate P(Y = k)
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
Q1) Three fair coins are tossed. The number of heads obtained is recorded
a] Write down a suitable sample space for this experiment
hhh,thh,hth,hht,htt,tht,tth,ttt
--------------------------------------
Let A = "number of heads equals 2"
Let B = "at least one head is obtained"
b] Giving a reason, state whether A and B are mutually exculsive
"at least one" included "two"
-----------------------------------------
c] Calculate P(A)= 3/8
and P(B) = 7/8
---------------------------------------
d] Giving a reason, state whether A and B are independent.
P(A)*P(B) = (3/8)(7/9) = 21/64
P(A and B) = 3/8
Since they are not equal A and B are not independent.
------------------------------
e] Calculate P (A|B) = P(2 h | at least 1 h) = 3/7
--------------------------------
The experiment of tossing three coins is repeated, only this time with three biased coins. Each coin has probability 0.7 of turning up heads. Let the random variable Y denote the number of heads obtained.
f] Write down the range of Y
0,1,2,3
---------------------------
g] For each number k in the range of Y, calculate P(Y = k)
I'll leave that to you. Remember, each coin is independent.
===============================
Cheers,
Stan H.
RELATED QUESTIONS
5. A random experiment consists of tossing three fair coins and recording whether
each... (answered by Boreal)
Three fair coins are tossed.
(a) Write out the sample space
Determine the probability... (answered by doncjones)
Determine the size of the sample space for the experiment described below.
Ten coins (answered by stanbon)
Three coins are tossed.
A)determine the number of points in the sample space.... (answered by stanbon)
three coins are tossed
a). determine the number of points in the sample space
b).... (answered by Fombitz)
Three coins are tossed
A)determine the number of points in the sample area
B)construct... (answered by lynnlo)
10 fair coins are tossed,then what is the probability of 3 heads obtained at most?
(answered by Fombitz)
Probabilities in Coin Tossing:
Three fair coins are tossed.
(a) Write out the... (answered by ewatrrr)
(III) Three coins are tossed,
(a) Determine the number of points in the sample space... (answered by Fombitz,ewatrrr)