Seja X uma vari´avel aleat´oria cont´ınua com fun¸c˜ao de densidade f(x) =
ax se 0 ≤ x ≤ 1

a se 1 ≤ x ≤ 2

3a − ax se 2 ≤ x ≤ 3

0 em outro caso

onde a ´e uma constante.

(a) (0,6 pts.) Encontre o valor da constante a.

(b) (0,4 pts.) Calcule a esperan¸ca de X.

(c) (1,6 pts.) Seja X1, X2, X3 uma amostra independente de tamanho trˆes. Qual a

probabilidade de que exatamente um dos elementos dessa amostra seja maior do que

0, 9+0, 1k, onde k ´e igual 23

18 units²

step-by-step explanation:

first let's find altitude bd using the distance formula

d = √((y₂ - y₁)² + (x₂ - x₁)²)

bd = √((0 - -3)² + (0 - 3)²)

bd = √18

given the placement of points a and c, we can denote that point d bisects segment ac.

we will call ac the base.

using the distance formula

ac = √((0 - 6)² + (-6 - 0)²)

ac = √72

knowing our base and our height, we can plug these into our triangle area formula

area = (b * h)/2

area = (√18 * √72) / 2

area = (√1296) / 2

area = 36 / 2

area = 18 units²

answer:

some responsibilities that come with having a checking account -

1. we have to maintain check register with exactness to avoid checks being returned for insufficient funds which is called bouncing a check.

2. we need to update our check register each time we make a transaction using a convenience card. updating check register will   save   us from   overdrawing of checking account.

3. read the agreement the bank gave you when you signed up for our checking account. this includes all the fees and the minimum balance we need to keep in our account to avoid maintenance charges.  

explanation:

note : -   checking account is a transactional deposit account. we can use it to deposit and withdraw funds. money in a checking account is very liquid. it   can be withdrawn using electronic debits, automated cash machines, or checks among other methods.

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11  

13

15

hope this