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2 years ago

A binomial discrete random variable, X has a mean

Mathematics

1 answer:

kompoz [17]2 years ago

5 0

Since X follows a binomial distribution, its mean and variance are

np = 3

np (1 - p) = 2

Substitute np = 3 in to the second equation to solve for p :

3 (1 - p) = 2

1 - p = 2/3

p = 1/3

Solve for n :

n (1/3) = 3

n = 9

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The weather forecast for the weekend is a 34% chance of rain for Saturday and a 32% chance of rain for Sunday. If we assume that

kaheart [24]

Answer:

$P( A \cap B) = P(A) *P(B) = 0.34*0.32 = 0.1088$

And then replacing in the total probability formula we got:

$P(A \cup B) = 0.34+0.32 - 0.1088 = 0.5512$

And rounded we got $P(A \cup B ) = 0.551$

That represent the probability that it rains over the weekend (either Saturday or Sunday)

Step-by-step explanation:

We can define the following notaton for the events:

A = It rains over the Saturday

B = It rains over the Sunday

We have the probabilities for these two events given:

$P(A) = 0.34 , P(B) = 0.32$

And we are interested on the probability that it rains over the weekend (either Saturday or Sunday), so we want to find this probability:

$P(A \cup B)$

And for this case we can use the total probability rule given by:

$P(A \cup B) = P(A) + P(B) - P(A \cap B)$

And since we are assuming the events independent we can find the probability of intersection like this:

$P( A \cap B) = P(A) *P(B) = 0.34*0.32 = 0.1088$

And then replacing in the total probability formula we got:

$P(A \cup B) = 0.34+0.32 - 0.1088 = 0.5512$

And rounded we got $P(A \cup B ) = 0.551$

That represent the probability that it rains over the weekend (either Saturday or Sunday)

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3 years ago

Whats 9 +10 will give brainlest

shtirl [24]

Answer:

Step-by-step explanation:

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"No Im not"

"Whats 9+10"

"21"

"You stupid"

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3 years ago

4(2x + 1) -3 = -3(x – 4) Show your work

const2013 [10]

Answer:

x = 1

Step-by-step explanation:

4(2x + 1) - 3 = - 3(x - 4) ← distribute parenthesis on both sides

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3 years ago

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