What probability is need for x = 2 to make it a valid distribution? Find the probability when x is at least 2? What is the expected value of the probability distribution? Round to two decimal places.

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
Problem 1E
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x P(x)
0 0.05
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2  
3 0.21
4 0.12

What probability is need for x = 2 to make it a valid distribution? 
Find the probability when x is at least 2? 
What is the expected value of the probability distribution? Round to two decimal places. 
What is the standard deviation of the probability distribution? Round to four decimal 
places

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