Answer:
The mean of X is 2
Step-by-step explanation:
Given the data in the question;
set of 10 cards consist of 5 red card and 5 blacks
cards are chosen, replaced and shuffled four times;
number of independent trials n = 4
now, since its is replaced, the probability of getting a red card in each trial will be;
p = 5/10 = 0.5
let X rep the number of red cards observed in the four trials.
the random variable follows binomial distribution where
n = 4 and p = 0.5
so
E(X) = ∑xP( X = x )
E(X) = np
we substitute
E(X) = 4 × 0.5
E(X) = 2
Therefore, The mean of X is 2
So it can be written as 2x + 5 = 11, and x = 3
Peyton's mistake was in Step 3, so the correct answer is C.
They added an extra negative sign when it wasn't needed.
<em>(Please mark this answer as Brainliest and leave a Thanks if I helped you!)</em>
Well, you'll multiply regularly, then move da decimals to the left 3 times, because if you add the amount of decimal places in 0.04 and 7.6, (2 + 1), it equals 2, but so 0.04 times 7.6 = 0.304
I hope I helped! =D
Answer:
True : If A and B are independent events, then P(A|B)=P(A) is true.
Step-by-step explanation:
If A and B are independent, P(A and B) = P(A) * P(B)
P(A|B) conditional probability, P(A) given B has already happened
= P(A and B) / P(B)
= P(A)*P(B) / P(B)
= P(A)
Therefore
If A and B are independent events, P(A|B)=P(A) is true.
