Answer:
Step-by-step explanation:
<u>Balls</u>
<u>Options of getting 3 balls</u>
- 1. White, black, black
- 2. Black, white, black
- 3. Black, black, white
Probability P(n) in each option
<u>1. WBB</u>
- P(w) = 6/(n + 6)
- P(b1) = n/(n + 6 - 1) = n/(n + 5)
- P(b2) = (n - 1)/(n + 5 - 1) = (n - 1)/(n + 1)
P(n) =
- P(w)P(b1)(P(b2) =
- 6/(n+6) × n/(n + 5) × (n - 1)/(n + 4) =
- 6n(n - 1)/(n + 6)(n + 5)(n + 4)
<u>2. BWB</u>
- P(b1) = n/(n + 6)
- P(w) = 6/(n + 6 - 1) = 6/(n + 5)
- P(b2) = (n - 1)/(n + 5 - 1) = (n - 1)/(n + 4)
P(n) =
- P(b1)P(w)(P(b2) =
- n/(n+6) × 6/(n + 5) × (n - 1)/(n + 4) =
- 6n(n - 1)/(n + 6)(n + 5)(n + 4)
<u>3. BBW</u>
- P(b1) = n/(n + 6)
- P(b2) = (n - 1)/(n + 6 - 1) = (n - 1)/(n + 5)
- P(w) = 6/(n + 5 - 1) = 6/(n + 4)
P(n) =
- P(b1)P(b2)(P(w) =
- n/(n+6) × (n - 1)/(n + 5) × 6/(n + 4) =
- 6n(n - 1)/(n + 6)(n + 5)(n + 4)
<u>Final equation is same for each case:</u>
- P(n) = 6n(n - 1) / (n + 6)(n + 5)(n + 4)
The easy way to find the maximum is to try the numbers or graph.
Both of the methods give the maximum integer n = 11 or n = 12
<em>See attached graph</em>
<u>At both values n we get P(n):</u>
- P(11) = 6*11*10 / 15*16*17 = 11/68 = 0.1618 (rounded)
- P(12) = 6*12*11 / 16*17*18 = 11/68 = 0.1618 (rounded)
Answer:(0,4), (-1,0), (-4,-2)
Step-by-step explanation:
Answer:
1.48645ft
Step-by-step explanation:
brainliest plssss
B. 75.
Explanation: You're more likely to get 75 as the answer because it's in the middle of the symmetric distribution. The equation for the mean average is
sum of all numbers / how many number there are. And at the middle is where all the averages are.
The good has an income elasticity of demand of -2. 0. This means that the good is <u>inferior goods.</u>
<h3>What are the characteristics of inferior goods?</h3>
An inferior good occurs when an increase in income causes a fall in demand.
An inferior good has a negative income elasticity of demand. (YED) Inferior goods are characterized by low quality – and are goods with better alternatives.
Suppose that good has an income elasticity of demand of -2. 0. This means that the good is <u>inferior goods.</u>
An inferior good is one whose demand drops when people's incomes rise. When incomes are low or the economy contracts, inferior goods become a more affordable substitute for more expensive goods.
Inferior goods are the opposite of normal goods, whose demand increases even when incomes increase.
Hence, the good has an income elasticity of demand of -2. 0. This means that the good is <u>inferior goods.</u>
Learn more about inferior goods here;
brainly.com/question/2410015
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