Answer:
$1407.15
Step-by-step explanation:
$1,770.00*0.25= $442.5
$1.770-$442.50 = $1327.5
$1327.5*0.06 = $79.65
$1327.50+$79.65 = $1407.15
Answer:
see explanation
Step-by-step explanation:
Under a reflection in the x- axis
a point (x, y ) → (x, - y ) , then
A (- 1, - 17 ) → A' (- 1, 17 )
B (0, - 12 ) → B' (0, 12 )
C (- 5, - 11 ) → C' (- 5, 11 )
D (- 6, - 16 ) → D' (- 6, 16 )
So the waiting time for a bus has density f(t)=λe−λtf(t)=λe−λt, where λλ is the rate. To understand the rate, you know that f(t)dtf(t)dt is a probability, so λλ has units of 1/[t]1/[t]. Thus if your bus arrives rr times per hour, the rate would be λ=rλ=r. Since the expectation of an exponential distribution is 1/λ1/λ, the higher your rate, the quicker you'll see a bus, which makes sense.
So define <span><span>X=min(<span>B1</span>,<span>B2</span>)</span><span>X=min(<span>B1</span>,<span>B2</span>)</span></span>, where <span><span>B1</span><span>B1</span></span> is exponential with rate <span>33</span> and <span><span>B2</span><span>B2</span></span> has rate <span>44</span>. It's easy to show the minimum of two independent exponentials is another exponential with rate <span><span><span>λ1</span>+<span>λ2</span></span><span><span>λ1</span>+<span>λ2</span></span></span>. So you want:
<span><span>P(X>20 minutes)=P(X>1/3)=1−F(1/3),</span><span>P(X>20 minutes)=P(X>1/3)=1−F(1/3),</span></span>
where <span><span>F(t)=1−<span>e<span>−t(<span>λ1</span>+<span>λ2</span>)</span></span></span><span>F(t)=1−<span>e<span>−t(<span>λ1</span>+<span>λ2</span>)</span></span></span></span>.
Answer:
d. .00012 or 0.00012
Step-by-step explanation:
The variance of the population proportion formula is given as:
p(1 - p)/n
Where n = sample size
p = population proportion or p(hat)
n = 2000 people
p = 0.52
Variance of the population proportion = 0.52(1 - 0.52)/ 2000
= 0.52 × 0.48 /2000
= 0.2496 /2000
= 0.0001248
Therefore the Variance of the population proportion is approximately = 0.00012
