A fair die is rolled once. If it lands six, you win $4. However, you lose $1 if it does not land six. Let M denote the amount of money you win. Find the distribution for M. g

m : $4 - $1

P(m) : __ 0.167 0.833

Step-by-step explanation:

Given that:

Fair dice is rolled once;

Winning = $4, if output is 6

If otherwise ; winning = - $1

M = amount of money won :

Distribution of M:

The amount of money won (M) is either :

$4 or - $1

Distribution of M:

Possible outcome : {1, 2, 3, 4, 5, 6}

P(winning $4) = P(rolling a 6)

Probability = number of required / number of total possible outcomes

= 1/ 6

P(losing $1) = P(not rolling a 6)

= 1 - P(rolling a 6)

= 1 - 1 /6

= 5/6

m : $4 - $1

P(m) : __ 0.167 0.833

b. b < 1 might be the correct answer

yes, gavin is right.

step-by-step explanation:

gavin is correct. 

this problem is about converting 9% per year to how many percent per quarter. the rate is still the same. it only differed in the time period. so, through dimensional analysis,

9% per year  × (1 year / 4 quarters) = 2.25% per quarter

if he was asked to convert 9% per year to how many percent per quarter  compounded quarterly, then you will not simply divide by four. this is because compounding is not linear.

hope this , have a good day. c;