if I have a binomial distribution where n equals 8 trials and a probability of success equals 0.40 what is the successes of X is
exactly 2
1 answer:
P(success) = 0.4 P(failure) = 0.6
8C2 (0.4)² * (0.6)^6
P(2 success) =0.290
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1 Multiply both sides by
n
−
3.2
n−3.2.
n
+
0.3
=
9
2
(
n
−
3.2
)
n+0.3=
2
9
(n−3.2)
2 Simplify
9
2
(
n
−
3.2
)
2
9
(n−3.2) to
9
(
n
−
3.2
)
2
2
9(n−3.2)
.
n
+
0.3
=
9
(
n
−
3.2
)
2
n+0.3=
2
9(n−3.2)
3 Multiply both sides by
2
2.
2
n
+
0.6
=
9
(
n
−
3.2
)
2n+0.6=9(n−3.2)
4 Expand.
2
n
+
0.6
=
9
n
−
28.8
2n+0.6=9n−28.8
5 Subtract
2
n
2n from both sides.
0.6
=
9
n
−
28.8
−
2
n
0.6=9n−28.8−2n
6 Simplify
9
n
−
28.8
−
2
n
9n−28.8−2n to
7
n
−
28.8
7n−28.8.
0.6
=
7
n
−
28.8
0.6=7n−28.8
7 Add
28.8
28.8 to both sides.
0.6
+
28.8
=
7
n
0.6+28.8=7n
8 Simplify
0.6
+
28.8
0.6+28.8 to
29.4
29.4.
29.4
=
7
n
29.4=7n
9 Divide both sides by
7
7.
29.4
7
=
n
7
29.4
=n
10 Simplify
29.4
7
7
29.4
to
4.2
4.2.
4.2
=
n
4.2=n
11 Switch sides.
n
=
4.2
n=4.2
Volume=Length * Width * Height
Volume= 8 * 4 * 2
Volume=64m
416 the six have a bar nation on the top:)
Step-by-step explanation:
Area of trapezium = 1/2(a+b)h
= 1/2(10+24)12
= 1/2×34×12
= 204 square units
I think the thickness of the plank is 0.03m