Suppose that p is the probability that a randomly selected person is left-handed. The value 1 − p is the probability that the person is not left-handed. in a sample of 100 people, the function V p = 100 p 1 − p represents the variance of the number of left-handed people in a group of 100. a. What value of p maximizes the variance? b. What is the maximum variance?
Suppose that p is the probability that a randomly selected person is left-handed. The value 1 − p is the probability that the person is not left-handed. in a sample of 100 people, the function V p = 100 p 1 − p represents the variance of the number of left-handed people in a group of 100. a. What value of p maximizes the variance? b. What is the maximum variance?
Solution Summary: The author calculates the value of p (the probability that a randomly-selected person is left-handed) that maximizes its variance.
Suppose that p is the probability that a randomly selected person is left-handed. The value
1
−
p
is the probability that the person is not left-handed. in a sample of 100 people, the function
V
p
=
100
p
1
−
p
represents the variance of the number of left-handed people in a group of 100.
3.1 Limits
1. If lim f(x)=-6 and lim f(x)=5, then lim f(x). Explain your choice.
x+3°
x+3*
x+3
(a) Is 5
(c) Does not exist
(b) is 6
(d) is infinite
1 pts
Let F and G be vector fields such that ▼ × F(0, 0, 0) = (0.76, -9.78, 3.29), G(0, 0, 0) = (−3.99, 6.15, 2.94), and
G is irrotational. Then sin(5V (F × G)) at (0, 0, 0) is
Question 1
-0.246
0.072
-0.934
0.478
-0.914
-0.855
0.710
0.262
.
2. Answer the following questions.
(A) [50%] Given the vector field F(x, y, z) = (x²y, e", yz²), verify the differential identity
Vx (VF) V(V •F) - V²F
(B) [50%] Remark. You are confined to use the differential identities.
Let u and v be scalar fields, and F be a vector field given by
F = (Vu) x (Vv)
(i) Show that F is solenoidal (or incompressible).
(ii) Show that
G =
(uvv – vVu)
is a vector potential for F.
College Algebra with Modeling & Visualization (5th Edition)
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Hypothesis Testing and Confidence Intervals (FRM Part 1 – Book 2 – Chapter 5); Author: Analystprep;https://www.youtube.com/watch?v=vth3yZIUlGQ;License: Standard YouTube License, CC-BY