Answer:
a. 0.32
b. 0,72
c. $13200
d. No
Step-by-step explanation:
Suppose we are interested in bidding on a piece of land and we know one other bidder is interested. The seller announced that the highest bid in excess of $10,400 will be accepted. Assume that the competitor's bid x is a random variable that is uniformly distributed between $10,400 and $14,600.a. Suppose you bid $12,000. What is the probability that your bid will be accepted (to 2 decimals)?b. Suppose you bid $14,000. What is the probability that your bid will be accepted (to 2 decimals)?c. What amount should you bid to maximize the probability that you get the property (in dollars)?d. Suppose that you know someone is willing to pay you $16,000 for the property. You are considering bidding the amount shown in part (c) but a friend suggests you bid $13,200. If your objective is to maximize the expected profit, what is your bid? (Options: 1. Stay with the bid in part (c) or 2. Bid $13,200 to maximize profit)What is the expected profit for this bid (in dollars)?
a=10400
b=14600
probability density is gotten by inverse of difference in boundaries
=f(y)
0.0002
a. for probability x<12000
(0.0002) from 12000 to 10400
0.32
b. probability that y x<14000
integrate f(y)dy
between 14000 and 10400
0.0002x
0.72
c.
Bid at most 13200 to be sure that it will be at maximum
d. No, if the house is sold for 16000 you could make a profit of $2800, because the house is $13200. You will run at loss is you bid less
If the person did not vote it can be:
30/100 (30%) people in the city are conservatives, and only 65/100 voted - so 45/100 did not voted.
Liberals are 50% of the city population (1/2), and 82/100 of them voted, so 100/100-82/100=8/100 did not voted!
So let’s make 2 probability events:
1) A person did not voted
2) a person is liberal
Probability that the person is a liberal: 1/2
Person didn’t voted and it’s a liberal:
1/2*8/100= 8/200=4/100 [*]
[*] To count the probability of two probability events you need to multiply them.
Answer:
The projected annual sales of Satelite Corporation are $ 161,805.
Step-by-step explanation:
Given that Satellite Corporation projects a year-end net income of $ 64,722, and that the net income represents 40% of its projected annual sales, to determine the amount of the projected annual sales of the company the following calculation must be performed:
40 = 64.722
100 = X
(100 x 64,722) / 40 = X
6,472,200 / 40 = X
161.805 = X
Therefore, the projected annual sales of Satelite Corporation are $ 161,805.
<span>
f(x) = 2(3x)
Exponential functions represent the initial value outside of the parentheses so if 2 is the initial value it has to be on the outside of the parentheses.
Exponential growth formula.
</span>
<span>a represents the initial value.</span>
Answer:
a) 1.8 × 10^-12 cm³ or 1.8 × 10^-12 cubic meters
b) 7.1 × 10^-6 mm² or 7.1 × 10^-6 square millimeters
Step-by-step explanation:
a) We are assuming that the shape of the bacteria is a sphere.
Hence, Volume of the Sphere(Bacteria) = 4/3 × π × r³
Diameter = 1.5 μm
Radius = Diameter/2 = 1.5μm/2
= 0.75μm
We are told that the volume should be in cubic centimeters
Converting 0.75μm to centimeters
1 μm = 1 × 10^-4 cm
0.75 μm =
Cross Multiply
= 0.75 μm × 1 × 10^-4 cm/ 1 μm
= 0.000075cm
Volume of the Sphere(Bacteria) = 4/3 × π × r³
= 4/3 × π × (0.000075)³
= 1.767145867 × 10^-12 cm³
Approximately as 2 significant figures = 1.8 × 10^-12 cm³
b) The formula for the Surface area of a Sphere = 4πr²
Diameter = 1.5 μm
Radius = Diameter/2 = 1.5μm/2
= 0.75μm
We are told that the surface area should be in square millimeters
Converting 0.75μm to millimeters
1 μm = 0.001 mm
0.75 μm =
Cross Multiply
= 0.75 μm ×0.001mm/ 1 μm
= 0.00075mm
Surface Area of a Sphere
= 4 × π × r²
= 4 × π × 0.00075²
= 7.06858 ×10^-6 mm²
Approximately to 2 significant figures
= 7.1 × 10^-6 mm²
