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a. p(2), that is, P(X = 2) c. P(2≤ X ≤5) b. P(X > 3) d. P(2

a. p(2), that is, P(X = 2) c. P(2≤ X ≤5) b. P(X > 3) d. P(2

Elementary Geometry For College Students, 7e
Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
Chapter5: Similar Triangles
Section5.4: The Pythagorean Theorem
Problem 35E: If a=p2q2,b=2pq and c=p2+q2, show that c2=a2+b2.
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24. An insurance company offers its policyholders a num- ber of different premium payment options. For a ran- domly selected policyholder, let X = the number of months between successive payments. The cdf of X is as follows:

F(x)
=
0.00  :  x < 1
0.30  :  1≤x<3
0.40  :  3≤ x < 4
0.45  :  4≤ x <6
0.60  :  6≤ x < 12
1.00  :  12≤ x


a. What is the pmf of X?
b. Using just the cdf, compute P(3≤ X ≤6) and P(4≤ X).

a. p(2), that is, P(X = 2) c. P(2≤ X ≤5) b. P(X > 3) d. P(2<x<5) 24. An insurance company offers its policyholders a num- ber of different premium payment options. For a ran- domly selected policyholder, let X = the number of months between successive payments. The cdf of X is as follows: 1/3. In this returns hom 201 0 x < 1 .30 1≤x≤3 .40 3≤ x < 4 F(x) = .45 4≤x<6 EV be .60 6≤ x < 12 1 12≤ x a. What is the pmf of X? b. Using just the cdf, compute P(3≤ X ≤6) and P(4≤ X). 25. In Example 3.12, let Y = the number of girls born before the experiment terminates. With p = P(B) and 1- p = P(G), what is the pmf of Y? [Hint: First list the possible values of Y, starting with the smallest, and pro- ceed until you see a general formula.] 26. Alvie Singer lives at 0 in the accompanying diagram and has four friends who live at A, B, C, and D. One day Alvie decides to go visiting, so he tosses a fair coin twice to decide which of the four to visit. Once at a friend's house, he will either return home or else proceed to one of the two adjacent houses (such as 0, A, or C when at B), a. Let X friend. b. Let Y Alvie 0). WI c. Suppo friend femal 27. After all professor under des professor dom fash who claim that 1 rec his or her a. come car List t b. Let X their 28. Show tha is.
Transcribed Image Text:a. p(2), that is, P(X = 2) c. P(2≤ X ≤5) b. P(X > 3) d. P(2<x<5) 24. An insurance company offers its policyholders a num- ber of different premium payment options. For a ran- domly selected policyholder, let X = the number of months between successive payments. The cdf of X is as follows: 1/3. In this returns hom 201 0 x < 1 .30 1≤x≤3 .40 3≤ x < 4 F(x) = .45 4≤x<6 EV be .60 6≤ x < 12 1 12≤ x a. What is the pmf of X? b. Using just the cdf, compute P(3≤ X ≤6) and P(4≤ X). 25. In Example 3.12, let Y = the number of girls born before the experiment terminates. With p = P(B) and 1- p = P(G), what is the pmf of Y? [Hint: First list the possible values of Y, starting with the smallest, and pro- ceed until you see a general formula.] 26. Alvie Singer lives at 0 in the accompanying diagram and has four friends who live at A, B, C, and D. One day Alvie decides to go visiting, so he tosses a fair coin twice to decide which of the four to visit. Once at a friend's house, he will either return home or else proceed to one of the two adjacent houses (such as 0, A, or C when at B), a. Let X friend. b. Let Y Alvie 0). WI c. Suppo friend femal 27. After all professor under des professor dom fash who claim that 1 rec his or her a. come car List t b. Let X their 28. Show tha is.
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