If sum all scores in the given data is 1000 and average is 40 then total number of scores is ______
Answers
Step-by-step explanation:
This is the question of Baye's Theorem
Solution ::-)
When there is a competition between the groups for getting position in boards of directors of a corporation.
Let E1 and E2 be the events that first and second group wins respectively.
So,
P(E1) = 0.6
P(E1) = 0.6P(E2) = 0.4
Let A be the event that a new product is introduced.
So,
\begin{gathered}P (\dfrac{A}{E_1} ) = 0.7 \\ \\ P( \dfrac{A}{E_2} ) = 0.3 \\ \\ \end{gathered}
P(
E
1
A
)=0.7
P(
E
2
A
)=0.3
Hence probability that a new product is introduced by second group
i.e.
\begin{gathered}P( \dfrac{E_1}{A} ) = \dfrac{P(E_2).P( \dfrac{A}{E_2}) }{P(E_1).P( \dfrac{A}{E_1}) +P(E_2).P( \dfrac{A}{E_2})} \\ \\ = \frac{0.4 \times 0.3}{0.6 \times 0.7 + 0.4 \times 0.3} \\ \\ = \frac{0.12}{0.42 + 0.12} \\ \\ = \frac{0.12}{0.54} \\ \\ = \frac{12}{54} \\ \\ = \frac{6}{27} \\ \\ = \frac{2}{9} \end{gathered}
P(
A
E
1
)=
P(E
1
).P(
E
1
A
)+P(E
2
).P(
E
2
A
)
P(E
2
).P(
E
2
A
)
=
0.6×0.7+0.4×0.3
0.4×0.3
=
0.42+0.12
0.12
=
0.54
0.12
=
54
12
=
27
6
=
9
2
Which is the required probability.