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4 years ago

The value of a bike depreciates by 55% per year. Work out the current value of a bike bought 2 years ago for £1300.

1 answer:

7 0

Year 1: 1,300 * 55% = 715 depreciation
1,300 - 715 = 585 book value

Year 2: 585 * 55% = 321.75 depreciation
585 - 321.75 = 263.25 book value

Year 3: 263.25 * 55% = 144.79 depreciation
263.25 - 144.79 = 118.46 book value

If the bike was bought 2 years ago, then its current value is $263.25.

Currently, it is the beginning of Year 3 but depreciation is computed at the end of the year.

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3 years ago

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inessss [21]

Answer:

P(Y=1|X=3)=0.125

Step-by-step explanation:

Given :

p(1,1)=0

p(2,1)=0.1

p(3,1)=0.05

p(1,2)=0.05

p(2,2)=0.3

p(3,2)=0.1

p(1,3)=0.05

p(2,3)=0.1

p(3,3)=0.25

Now we are supposed to find the conditional mass function of Y given X=3 : P(Y=1|X=3)

P(X=3) = P(X=3,Y=1)+P(X=3,Y=2) +P(X=3,Y=3)

P(X=3)=p(3,1) +p(3,2) +p(3,3)

P(X=3)=0.05+0.1+0.25=0.4

$P(Y=1|X=3)=\frac{P(X=3,Y=1)}{P(X=3)} =\frac{p(3,1)}{P(X=3)}=\frac{0.05}{0.4}= 0.125$

Hence P(Y=1|X=3)=0.125

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3 years ago