Suppose a random variable,x, arises from a binomial experiment. Supposen= 6, andp= 0.11.

Write the probability distribution. Round to six decimal places, if necessary.

x

P(x)0123456

Select the correct histogram.

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• [Graphs generated by this script: setBorder(60,45,0,10); initPicture(0,16,0,0.496981290961);axes(1000,0.1,1,1000,0.1); fill="blue"; textabs([140,0],"x","above");rect([1,0],[3,0.496981290961]);text([2,0],"0","below");rect([3,0],[5,0.368547923634]);text([4,0],"1","below");rect([5,0],[7,0.113877167415]);text([6,0],"2","below");rect([7,0],[9,0.01876627478]);text([8,0],"3","below");rect([9,0],[11,0.001739570415]);text([10,0],"4","below");rect([11,0],[13,8.6001234E-5]);text([12,0],"5","below");rect([13,0],[15,1.771561E-6]);text([14,0],"6","below");]
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• [Graphs generated by this script: setBorder(60,45,0,10); initPicture(0,16,0,0.3125);axes(1000,0.05,1,1000,0.05); fill="blue"; textabs([140,0],"x","above");rect([1,0],[3,0.015625]);text([2,0],"0","below");rect([3,0],[5,0.09375]);text([4,0],"1","below");rect([5,0],[7,0.234375]);text([6,0],"2","below");rect([7,0],[9,0.3125]);text([8,0],"3","below");rect([9,0],[11,0.234375]);text([10,0],"4","below");rect([11,0],[13,0.09375]);text([12,0],"5","below");rect([13,0],[15,0.015625]);text([14,0],"6","below");]
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• [Graphs generated by this script: setBorder(60,45,0,10); initPicture(0,16,0,0.496981290961);axes(1000,0.1,1,1000,0.1); fill="blue"; textabs([140,0],"x","above");rect([1,0],[3,1.771561E-6]);text([2,0],"0","below");rect([3,0],[5,8.6001234E-5]);text([4,0],"1","below");rect([5,0],[7,0.001739570415]);text([6,0],"2","below");rect([7,0],[9,0.01876627478]);text([8,0],"3","below");rect([9,0],[11,0.113877167415]);text([10,0],"4","below");rect([11,0],[13,0.368547923634]);text([12,0],"5","below");rect([13,0],[15,0.496981290961]);text([14,0],"6","below");]

Incorrect

Describe the shape of the histogram.

• Roughly symmetric
• Skewed right
• Skewed left

Incorrect

Find the mean.

=

Find the variance.

²=

Find the standard deviation. Round to four decimal places, if necessary.

=