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mixas84 [53]
1 year ago
6

You simultaneously flip a pair of fair coins. Your friend gives you one dollar if both coins come up heads. You repeat this ten

times and your friend gives you X dollars. Find E[X], the expected number of dollars you receive. What is the probability that you do "worse than average"?

Mathematics
1 answer:
sergey [27]1 year ago
5 0

Answer:

E(X) = $2.5

P(Worst than Average) = 0.072

Step-by-step explanation:

I have solved this problem on paper. (Attached)

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Which of the following is the expansion of (3c + d2)6?
vovangra [49]

Answer: Option A) 729c^6 + 1,458c^5d^2 + 1,215c^4d^4 + 540c^3d^6 + 135c^2d^8 + 18cd^{10} + d^{12} is the correct expansion.

Explanation:

on applying binomial theorem,  (a+b)^n=\sum_{r=0}^{n} \frac{n!}{r!(n-r)!} a^{n-r} b^r

Here a=3c, b=d^2 and n=6,

Thus, (3c+d^2)^6=\sum_{r=0}^{6} \frac{6!}{r!(6-r)!} (3c)^{n-r} (d^2)^r

⇒ (3c+d^2)^6= \frac{6!}{(6-0)!0!} (3c)^{6-0}.(d^2)^0+\frac{6!}{(6-1)!1!} (3c)^{6-1}.(d^2)^1+\frac{6!}{(6-2)!2!} (3c)^{6-2}.(d^2)^2+\frac{6!}{(6-3)!3!} (3c)^{6-3}.(d^2)^3+\frac{6!}{(6-4)!4!} (3c)^{6-4}.(d^2)^4+\frac{6!}{(6-5)!5!} (3c)^{6-5}.(d^2)^5+\frac{6!}{(6-6)!6!} (3c)^{6-6}.(d^2)^6

⇒(3c+d^2)^6= \frac{6!}{(6-)!0!} (3c)^6.d^0+\frac{6!}{(5)!1!} (3c)^5.d^2+\frac{6!}{(4)!2!} (3c)^4.d^4+\frac{6!}{(6-3)!3!} (3c)^3.d^6+\frac{6!}{(2)!4!} (3c)^2.d^8+\frac{6!}{(1)!5!} (3c).d^{10}+\frac{6!}{(0)!6!} (3c)^0.d^{12}

⇒(3c+d^2)^6=(3c)^6.d^0+\frac{720}{120} (3c)^5.d^2+\frac{720}{48} (3c)^4.d^4+\frac{720}{36} (3c)^3.d^6+\frac{720}{48} (3c)^2.d^8+\frac{720}{120} (3c).d^{10}+.d^{12}

⇒(3c+d^2)^6=729c^6 + 1,458c^5d^2 + 1,215c^4d^4 + 540c^3d^6 + 135c^2d^8 + 18cd^{10} + d^{12}

3 0
1 year ago
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$36 for 4 baseball hats; $56 for 7 baseball hats are they equivalent
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In your internship with Lewis, Lee, & Taylor Inc. you have been asked to forecast the firm's additional funds needed (AFN) f
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Answer:

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Step-by-step explanation:

Last year data :

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Sales growth rate = 40%

Calculate total increase in total assets :

Increase in total assets = Total assets × Growth rate

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Calculate increase in spontaneous liabilities :

Increase in spontaneous liabilities = (50,000 + 20,000)  ×  40%

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Calculate increase in retained dividend :

calculate the increase sales :

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Calculate AFN :

AFN = Increase in assets - Increase in liabilities - increase in retained earning

       = 48,000 - 28,000 - 42,000

       = -$22,000

Option B. is the answer.

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Ostrovityanka [42]
I don’t think you wrote it correct but anyway I think the answer to your question is statement number 1
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