Answer:
see below
Step-by-step explanation:
a) The variance of random variable X is
−
33
4
−
4
33
.
b) The conditional PDF of Y given X is:
For
0
≤
�
≤
1
0≤y≤1,
�
(
�
∣
�
)
=
1
f(y∣x)=1.
For
�
y outside the range [0, 1],
�
(
�
∣
�
)
=
0
f(y∣x)=0.
Answer:
Step-by-step explanation:
Leasing and buying have their own set of advantages and disadvantages. Here are some pros and cons of both options:
Leasing:
Pros:
1. Lower monthly payments: Leasing typically requires lower monthly payments compared to buying because you are essentially paying for the depreciation of the vehicle during the lease term, rather than the full cost of the vehicle.
2. No long-term commitment: Leases usually have shorter terms, typically 2-4 years, which allows you to change vehicles more frequently and easily adapt to your changing needs.
3. Lower maintenance costs: Since lease terms often coincide with the manufacturer's warranty period, you may be covered for most repairs and maintenance costs, reducing your out-of-pocket expenses.
4. Ability to drive newer models: Leasing enables you to drive a new car every few years, keeping you up-to-date with the latest technology and safety features.
Cons:
1. No ownership: When you lease, you do not own the vehicle. You are essentially renting it for the duration of the lease term.
2. Mileage restrictions: Most leases come with mileage restrictions, typically around 10,000-15,000 miles per year. Exceeding these limits can result in additional fees.
3. No equity: Since you don't own the vehicle, you won't build equity over time like you would with a purchased vehicle.
4. Potential for extra charges: At the end of the lease, you may be responsible for additional charges for excess wear and tear or mileage.
Buying:
Pros:
1. Ownership: When you buy a vehicle, you own it outright and can use it as long as you want without any restrictions.
2. Build equity: As you make payments on a purchased vehicle, you build equity over time, which can be beneficial if you plan to sell or trade in the vehicle in the future.
3. No mileage restrictions: Unlike leasing, buying a vehicle allows you to drive as many miles as you want without any excess mileage fees.
4. Personalization: When you own a vehicle, you have the freedom to customize and modify it to your liking.
Cons:
1. Higher upfront costs: Purchasing a vehicle typically requires a higher upfront cost, including a down payment, sales tax, and other fees.
2. Higher monthly payments: Since you are paying for the full cost of the vehicle, monthly payments for buying a vehicle are generally higher than lease payments.
3. Depreciation: Vehicles depreciate over time, which means their value decreases. When you buy a vehicle, you may experience a loss in resale value.
4. Maintenance costs: As the owner, you are responsible for all maintenance and repair costs once the manufacturer's warranty expires.
It's important to consider your personal preferences, financial situation, and long-term goals when deciding between leasing and buying. Each option has its own advantages and disadvantages, so choose the one that aligns with your needs and priorities.
System of Equations
Answer:
y = -1 & x = -1
Step-by-step explanation:
x = 4y + 3 .... ( 1)
2x + y = -3 ........(2)
substitute the 4y + 3 as x in the second equation
2( 4y + 3) + y = -3
simplify and solve for y
8y + 24 + y = -3
9 y + 24 = -3
9y = -3 -24
9y = -27
y = -27 / 9
y = -1
Now, substitute the value of y -1 in first equation
x = 4y + 3
solve for x
x = 4 ( - 1 ) + 3
x = -4 + 3
x = -1
Answer:
x = -1, y = -1
Step-by-step explanation:
x = 4y + 3
2x + y = -3
We have the value of x in terms of y, so we substitute that in 2x + y = -3:
2(4y+3)+y = -3
8y+6+y = -3
9y = -9
y = -1
Now we substitute the value of y in x = 4y + 3:
x = 4(-1)+3
x = -1
Please help!
Answer: y=4 or y= 4 over 3
Step-by-step explanation:
Answer:
y=4
Step-by-step explanation: