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-- Aug 30 In-Class Exercise Thread

my date of birth is : 24th
state space = head, tail
p(head) = 1/24
p(tail) = 23/24

random variable of what bob pays : 'X' = '5' or '1'
probability distribution of coin outcome 'x' : f(x) = {1/24,23/24}
Expected value of random variable 'X' = 1/24*5 + 23/24*1

(Edited: 2017-08-30)

*my date of birth is : 24th *state space = head, tail *p(head) = 1/24 *p(tail) = 23/24 *random variable of what bob pays : 'X' = '5' or '1' *probability distribution of coin outcome 'x' : f(x) = {1/24,23/24} *Expected value of random variable 'X' = 1/24*5 + 23/24*1

-- Aug 30 In-Class Exercise Thread

Birthday =Jan 30. Sample Space: {H, T} Random Variable:

  * f[H] = 5
  * f[T] = 1

Pr[H] = 1/30 = 1 Pr[T] = 1 - Pr[T] = 29/30 Expected Value:E[X]= 5*Pr[H] + 1*Pr[T] = 5*(1/30) + 1*(29/30) = 34/30

-Supraja Suresh

(Edited: 2017-08-30)

Birthday =Jan 30. Sample Space: {H, T} Random Variable: * f[H] = 5 * f[T] = 1 Pr[H] = 1/30 = 1 Pr[T] = 1 - Pr[T] = 29/30 Expected Value:E[X]= 5*Pr[H] + 1*Pr[T] = 5*(1/30) + 1*(29/30) = 34/30 -Supraja Suresh

-- Aug 30 In-Class Exercise Thread

Birthday: 5th Oct Sample Space = {H,T} P(X=5) = P(H) = 1/5 P(X=1) = P(T) = 4/5 Expected value = 5 * 1/5 + 1 * 4/5 = 1 + 0.8 = 1.8

(Edited: 2017-08-30)

<nowiki> Birthday: 5th Oct Sample Space = {H,T} P(X=5) = P(H) = 1/5 P(X=1) = P(T) = 4/5 Expected value = 5 * 1/5 + 1 * 4/5 = 1 + 0.8 = 1.8 </nowiki>

-- Aug 30 In-Class Exercise Thread

birthday = 26
p(H) = `1/26`, p(T) = `5/26`
f(x) = `$5; heads`, `$1; tails`
Let x be the Random Variable which represents how much money Bob gets E(x) = `5.(1/26) + 1.(25/26) = 30/26`

(Edited: 2017-08-30)

*birthday = 26 *p(H) = @BT@1/26@BT@, p(T) = @BT@5/26@BT@ *f(x) = @BT@$5; heads@BT@, @BT@$1; tails@BT@ * Let x be the Random Variable which represents how much money Bob gets E(x) = @BT@5.(1/26) + 1.(25/26) = 30/26@BT@

-- Aug 30 In-Class Exercise Thread

Birthday=13 p(H)= 1/13 p(T)= 12/13 E[x]= 5*1/13+1*12/13 = 17/13

-- Aug 30 In-Class Exercise Thread

Birthday - July 30 Sample space - {H, T} Random variables X[H] = 5 X[T] = 1 Pr[H] = 1 / 30 Pr[T] = 29 / 30 Expected value = 5(1/30) + 1(29/30) = $1.13

-- Aug 30 In-Class Exercise Thread

A = P(Heads) = 1/22 B = p(Tails) = 1 - 1/22 = 21/22

Sample space = {H, T}

Random Variable (H) = 5 Random Variable (T) = 1

Expected Value = 5 * 1/22 + 1* 21/22 = 26/22 = 13/11

(Edited: 2017-08-30)

A = P(Heads) = 1/22 B = p(Tails) = 1 - 1/22 = 21/22 Sample space = {H, T} Random Variable (H) = 5 Random Variable (T) = 1 Expected Value = 5 * 1/22 + 1* 21/22 = 26/22 = 13/11

-- Aug 30 In-Class Exercise Thread

Birthday = 5

S = {H, T} Pr(H) = 1/5 Pr(T) = 4/5

Random variable X = amount bob pays P(X=5) = Pr(H) = 1/5 P(X=1) = Pr(T) = 4/5

E(X) = 5 * P(X=5) + 1 * P(X=1)

     = 1 + 4/5
     = 9/5 = $1.8

Name : Yeshwanth Bashyam

(Edited: 2017-08-30)

Birthday = 5 S = {H, T} Pr(H) = 1/5 Pr(T) = 4/5 Random variable X = amount bob pays P(X=5) = Pr(H) = 1/5 P(X=1) = Pr(T) = 4/5 E(X) = 5 * P(X=5) + 1 * P(X=1) = 1 + 4/5 = 9/5 = $1.8 Name : Yeshwanth Bashyam

-- Aug 30 In-Class Exercise Thread

Birthday is on 21st August. So sample space will be s= {H,T} Prhead = 1/21 Pr tail = 1/79

Random variable values X

H 1

T 5

Expexted value = (1 X 1/21 ) + ( 5 X 1/79)

Birthday is on 21st August. So sample space will be s= {H,T} Prhead = 1/21 Pr tail = 1/79 Random variable values X H 1 T 5 Expexted value = (1 X 1/21 ) + ( 5 X 1/79)

-- Aug 30 In-Class Exercise Thread

Birthday is 6th

P(H)= 1/6 P(T)=5/6

State Space ={Heads, Tails}

Random Variable X[Heads] = 5 X[Tails] = 1

Expected Value = 5 *1/6 + 1*5/6 = 10/6 = $1.66

(Edited: 2017-08-30)

Birthday is 6th P(H)= 1/6 P(T)=5/6 State Space ={Heads, Tails} Random Variable X[Heads] = 5 X[Tails] = 1 Expected Value = 5 *1/6 + 1*5/6 = 10/6 = $1.66