A coin is tossed twice. Let Z denote the number of heads on the first toss and W the total number of heads on the 2 tosses. Suppose the coin is unbalanced and a head has a 64% chance of occurring. Complete parts (a) through (d). (a) Find the joint probability distribution of W and Z. Select the correct choice below and fill in the answer boxes to complete your choice. (Type integers or decimals. Do not round.) A. B. Z B. Z f(w,z) 0 1 f(w,z) 0 1 2 W g(w) W g(w) 0 0.1296 0 0 0 W 1 0.2304 0.2304 (b) Find the marginal distribution of W. Select the correct choice below and fill in the answer boxes to complete your choice. (Type integers or decimals. Do not round.) O A. 0 1 1 W 1 ▼ 2 0 .4096 2 2
A coin is tossed twice. Let Z denote the number of heads on the first toss and W the total number of heads on the 2 tosses. Suppose the coin is unbalanced and a head has a 64% chance of occurring. Complete parts (a) through (d). (a) Find the joint probability distribution of W and Z. Select the correct choice below and fill in the answer boxes to complete your choice. (Type integers or decimals. Do not round.) A. B. Z B. Z f(w,z) 0 1 f(w,z) 0 1 2 W g(w) W g(w) 0 0.1296 0 0 0 W 1 0.2304 0.2304 (b) Find the marginal distribution of W. Select the correct choice below and fill in the answer boxes to complete your choice. (Type integers or decimals. Do not round.) O A. 0 1 1 W 1 ▼ 2 0 .4096 2 2
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.8: Probability
Problem 5E
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Transcribed Image Text:A coin is tossed twice. Let Z denote the number of heads on the first toss and W the
total number of heads on the 2 tosses. Suppose the coin is unbalanced and a head has
a 64% chance of occurring. Complete parts (a) through (d).
(a) Find the joint probability distribution of W and Z.
Select the correct choice below and fill in the answer boxes to complete your choice.
(Type integers or decimals. Do not round.)
A.
B.
Z
B.
Z
f(w,z)
0
f(w,z)
0
W
g(w)
2
W
g(w)
0
0.1296
0
0
W
1
0.2304
0.2304
(b) Find the marginal distribution of W.
Select the correct choice below and fill in the answer boxes to complete your choice.
(Type integers or decimals. Do not round.)
A.
0
1
1
W
1
2
0
.4096
2
2
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