The table below shows the probabilities of winning or losing when the team is playing away or is playing at home.

1. are the events “winning: and playing at home” independent? explain why or why not.
2. are the events “losing” and “playing away” independent? explain why or why not.
use the attatchment below.

Please read the answers below.

Step-by-step explanation:

1. Are the events “winning: and playing at home” independent? Explain why or why not.

Yes, they are independent because:

A. The team wins not only at home but also playing as a visitor (0.15)

B. Playing at home, the team even loses with the same frequency than wins. (0.3 = 0.3)

2. Are the events “losing” and “playing away” independent? Explain why or why not.  Please use the attachment below.

Yes, they are independent because:

A. The team loses not only playing away but also playing at home, even more (0.3 > 0.1).

B. Playing away, the team even wins more matches than loses them. (0.15 > 0.10)

find the magnitude of the trig term  

csc

(

x

)

−

1

by taking the absolute value of the coefficient.

1

find the lower bound of the range.

tap for more

y

=

−

2

find the upper bound of the range.

tap for more

y

=

0

the range is  

y

≤

−

2

or  

y

≥

0

.

(

−

∞

,

−

2

]

∪

[

0

,

∞

)

{

y

|

y

≤

−

2

,

y

≥

0

}

step-by-step explanation: