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3 years ago

Are the events "selecting a female" and "selecting a students who has brown eyes" independent?

Mathematics

1 answer:

Deffense [45]3 years ago

4 0

Answer:

No, the events are not independent.

Step-by-step explanation:

Suppose that there are two events, A and B.

Such that first happens the event A and then the event B.

If the outcome of event A affects the probabilities for the different outcomes of event B, then the events are dependent.

In this case, if we have only the event "selecting a student who has brown eyes" (at random)

The probability is equal to the quotient between the total number of students with brown eyes, and the total number of students, then this probability is:

P = 91/200 = 0.455...

Now, if we first impose the "selecting a female", now when we want to select a student with brown eyes we will look only at the female students.

In this case, there are 32 with brown eyes and a total of 90 female students, then the probability of selecting a female with brown eyes at random is:

P = 32/90 = 0.355...

So the probability is different, which means that the events "selecting a female" and "selecting a student who has brown eyes" are not independent.

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Rewrite the form In exponential form: Log100 = x

andrey2020 [161]

Answer:

$10^x=100$

Step-by-step explanation:

You know how subtraction is the opposite of addition and division is the opposite of multiplication? A logarithm is the opposite of an exponent. You know how you can rewrite the equation 3 + 2 = 5 as 5 - 3 = 2, or the equation 3 × 2 = 6 as 6 ÷ 3 = 2? This is really useful when one of those numbers on the left is unknown. 3 + _ = 8 can be rewritten as 8 - 3 = _, 4 × _ = 12 can be rewritten as 12 ÷ 4 = _. We get all our knowns on one side and our unknown by itself on the other, and the rest is computation.

We know that $3^2=9$ ; as a logarithm, the exponent gets moved to its own side of the equation, and we write the equation like this: $\log_3{9}=2$ , which you read as "the logarithm base 3 of 9 is 2." You could also read it as "the power you need to raise 3 to to get 9 is 2."

One historical quirk: because we use the decimal system, it's assumed that an expression like $\log1000$ uses base 10, and you'd interpret it as "What power do I raise 10 to to get 1000?"

The expression $\log100=x$ means "the power you need to raise 10 to to get 100 is x," or, rearranging: "10 to the x is equal to 100," which in symbols is $10^x=100$ .

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3 years ago

During the first 15 weeks of the 2016 season of a certain professional football league, the home team won 141 of the 241 regul

rusak2 [61]

Answer:

The answer is 2.0190

Step-by-step explanation:

From the given question,

We recall that,

p = 141/241 = 0.5850

so, p = 0.5

The Hypothesis is:

H₀ : P = 0.5, this means that H0:50% of the games played will be won

vs

H₁ : P > 0.5, This indicates that, win is greater than 0.5 due to home field advantages.

n=241,x=141

Then,

SD(p)=√(p*q/n)=√(0.5*0.5/141)=0.0421

z = p - p/ SD (p) = 0.5850 - 0.5/0.0421 = 0.085/0.0421 =2.0190

therefore, there is strong evidence that there is home field advantages in professional football.

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3 years ago

Are the events "selecting a female" and "selecting a students who has brown eyes" independent?​

Are the events "selecting a female" and "selecting a students who has brown eyes" independent?