Use nequals6 and pequals0.7 to complete parts​ (a) through​ (d) below.
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Part 1
​(a) Construct a binomial probability distribution with the given parameters.
x
​P(x)
0

. 0007
1

0.0102
2

0.0595
3

0.1852
4

0.3241
5

0.3025
6

. 1177
​(Round to four decimal places as​ needed.)
Part 2
​(b) Compute the mean and standard deviation of the random variable using mu Subscript Upper XequalsSummation from nothing to nothing left bracket x times Upper P left parenthesis x right parenthesis right bracket and sigma Subscript Upper XequalsStartRoot Summation from nothing to nothing left bracket x squared times Upper P left parenthesis x right parenthesis right bracket minus mu Subscript Upper X Superscript 2 EndRoot.
mu Subscript Upper Xequals

4.20 ​(Round to two decimal places as​ needed.)
Part 3
sigma Subscript Upper Xequals

1.12 ​(Round to two decimal places as​ needed.)
Part 4
​(c) Compute the mean and standard​ deviation, using mu Subscript Upper Xequalsnp and sigma Subscript Upper XequalsStartRoot np left parenthesis 1 minus p right parenthesis EndRoot.
mu Subscript Upper Xequals

4.2 ​(Round to two decimal places as​ needed.)
Part 5
sigma Subscript Upper Xequals

1.12 ​(Round to two decimal places as​ needed.)
Part 6
​(d) Draw a graph of the probability distribution and comment on its shape.
Which graph below shows the probability​ distribution?
A.
0
3
6
0
0.25
0.5
x
P(x)



A graph with a horizontal x-axis labeled from 0 to 6 in intervals of 1 and a vertical P(x)-axis labeled from 0 to 0.5 in intervals of 0.05 has seven vertical line segments, one for each horizontal axis label. The approximate heights of the vertical line segments are as follows, with the horizontal coordinate listed first and the approximate line segment height listed second: 0, 0.32; 1, 0.19; 2, 0.06; 3, 0.06; 4, 0.06; 5, 0.19; 6, 0.32.
B.
0
3
6
0
0.25
0.5
x
P(x)



A graph with a horizontal x-axis labeled from 0 to 6 in intervals of 1 and a vertical P(x)-axis labeled from 0 to 0.5 in intervals of 0.05 has seven vertical line segments, one for each horizontal axis label. The approximate heights of the vertical line segments are as follows, with the horizontal coordinate listed first and the approximate line segment height listed second: 0, 0.19; 1, 0.32; 2, 0.30; 3, 0.12; 4, 0.30; 5, 0.32; 6, 0.19.
C.
0
3
6
0
0.25
0.5
x
P(x)



A graph with a horizontal x-axis labeled from 0 to 6 in intervals of 1 and a vertical P(x)-axis labeled from 0 to 0.5 in intervals of 0.05 has seven vertical line segments, one for each horizontal axis label. The approximate heights of the vertical line segments are as follows, with the horizontal coordinate listed first and the approximate line segment height listed second: 0, 0.00; 1, 0.01; 2, 0.06; 3, 0.12; 4, 0.19; 5, 0.30; 6, 0.32.