Answer:
(b) Expected number of male kitten E(x) = 1
(c) Standard deviation is ±.
Step-by-step explanation:
Given that,
Number of kittens in a group are 10. Out of these 5 are female.
To find:- (a) create a probability model of male kitten chosen.
So, total number of kitten = 10
number of female kitten = 5
then, Number of male kitten =
Now total number of ways to choosing two kittens from group of 10 =
=
for choosing (i) No male P(x=0) = P(Two female) =
(ii) 1 male P(x=1) = P(1 male and 1 female) = = =
(iii) 2 male P(x=2)= P(2 male) = =
0 1 2
P(X=)
(b) what is expected number of male kittens chosen ?
Expected number of male kitten E(x) =
(c) what is standard deviation ?
No,
= ±
the outside fence has a 64 feet perimeter
Two lines or shapes that lie exactly on top of each other. Example: these two lines are coincident, only you can't see them both, because they are on top of each other.
HK = 24
HK and JL are diagonals of the parallelogram.
Recall that diagonals of a parallelogram bisect each other. This implies that, they divide each other into equal parts.
Therefore,
HK = 2(HM)
HM = 12
Thus,
HK = 2(12)
see explanation
Expand both factors and collect like term
Using Pascal' triangle with n = 6 to obtain the coefficients
1 6 15 20 15 6 1
Decreasing powers of 1 from to
Increasing powers of 3x from to
= 1. + 6. + 15. + 20. + 15.1² + 6. + 1.
= 1 + 18x + 135x² + 540x³ + 1215 + 1458 + 729
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= 1 - 18x + 135x² - 540x³ + 1215 - 1458 + 729
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Collecting like terms from both expressions
+
= 2 + 270x² + 2430 + 1458
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(2)
Using Pascal's triangle with n = 5
1 5 10 10 5 1
Increasing powers of 2x from to
= 1. + 5. + 10. + 10. + 5.+ 1.
= 1 + 10x + 40x² + 80x³ + 80 + 32