Answer:
Yes, they are independent because P(Texas) ≈ 0.45 and P(Texas/brand A) ≈ 0.45.
Step-by-step explanation:
We are given that a taste test asks people from Texas and California which pasta they prefer, brand A or brand B. The table is given in the question.
A person is randomly selected from those tested.
And we have find that are being from Texas and preferring brand A independent events or not.
Firstly, we know that these two events will be independent when;
P(Texas) = P(Texas/brand A)
Now, P(Texas) =
= ≈ 0.45
Also, P(Texas/brand A) =
=
= ≈ 0.45
Therefore, being from Texas and preferring brand A are independent events because P(Texas) ≈ 0.45 and P(Texas/brand A) ≈ 0.45.
Answer:
x = 4.2
Step-by-step explanation:
72 + 10x = 114
10x = 114 - 72
10x = 42
x = 42/10
x = 4.2
The probability of getting a 2 or a getting a black card, find individual probabilities;
A standard deck has 52 cards.
There are 4 2's in a normal deck; probability of getting it is 4/25
The probability of getting a black card is; 26/52 since half the deck is red and black.
Now add up the probabilities since it says "or"
(4/52)+(26/52)=30/52 probability of the card that you were dealt being a two or a black card.
Hope I helped :)
Answer:
b = 26°
Step-by-step explanation:
a ; b = complementary =>
a + b = 90° } => b = 90° - 64° = 26°
a = 64°
-10+2b+8
-2+8b+8
Calculated sum
-2+8b
Answer is -2+8b