(a) Find the probability distribution for the number of times 3 is rolled. X 0 1 2 3 P(x) 0.4096 0.4096 0.1536 0.0256 (Round to four decimal places as needed.) (b) What is the expected number of times 3 is rolled? E(x) = (Round to four decimal places as needed.) 4 0.0016

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter12: Probability
Section12.4: Discrete Random Variables; Applications To Decision Making
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8.5 QQ) 4 Hey! I need help solving part b of this question, it states to round to two decimal places as needed.
Suppose a fair die numbered 1 to 5 is rolled 4 times. Complete parts (a) and (b) below.
(a) Find the probability distribution for the number of times 3 is rolled.
0
1
2
3
P(x) 0.4096 0.4096 0.1536 0.0256
(Round to four decimal places as needed.)
(b) What is the expected number of times 3 is rolled?
E(x) = (Round to four decimal places as needed.)
X
4
0.0016
...
Transcribed Image Text:Suppose a fair die numbered 1 to 5 is rolled 4 times. Complete parts (a) and (b) below. (a) Find the probability distribution for the number of times 3 is rolled. 0 1 2 3 P(x) 0.4096 0.4096 0.1536 0.0256 (Round to four decimal places as needed.) (b) What is the expected number of times 3 is rolled? E(x) = (Round to four decimal places as needed.) X 4 0.0016 ...
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