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3 years ago

If a denotes some event, what does upper a overbar denote? if p(a)equals0.992, what is the value of p(upper a overbar)?

Mathematics

1 answer:

ELEN [110]3 years ago

8 0

If A denotes some event, what does Ā denote?

If P(A) = 0.992, what is the value of P(Ā)?

Answer :

A denotes some event , Ā denotes the complement of A that is Ā contains all the events that does not occur in A.

Given: P(A) = 0.992

We know total probability =1

P(A) + P(Ā)= 1

P(Ā)= 1 - P(A)

P(Ā)= 1 - 0.992 = 0.008

P(Ā) = 0.008

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The 2010 General Social Survey reported a sample where about 48% of US residents thought marijuana should be made legal. If we w

Sati [7]

Answer:

The sample size is $n = 600$

Step-by-step explanation:

From the question we are told that

The sample proportion is $\r p = 0.48$

The margin of error is $MOE = 0.04$

Given that the confidence level is 95% the level of significance is mathematically represented as

$\alpha = 100 - 95$

$\alpha = 5 \%$

$\alpha = 0.05$

Next we obtain the critical value of $\frac{\alpha }{2}$ from the normal distribution table , the values is

$Z_{\frac{\alpha }{2} } = 1.96$

The reason we are obtaining critical value of $\frac{\alpha }{2}$ instead of $\alpha$ is because

$\alpha$ represents the area under the normal curve where the confidence level interval ( $1-\alpha$ ) did not cover which include both the left and right tail while

$\frac{\alpha }{2}$ is just the area of one tail which what we required to calculate the margin of error

Generally the margin of error is mathematically represented as

$MOE = Z_{\frac{\alpha }{2} } * \sqrt{ \frac{\r p(1- \r p )}{n} }$

substituting values

$0.04= 1.96* \sqrt{ \frac{0.48(1- 0.48 )}{n} }$

$0.02041 = \sqrt{ \frac{0.48(52 )}{n} }$

$0.02041 = \sqrt{ \frac{ 0.2496}{n} }$

$0.02041^2 = \frac{ 0.2496}{n}$

$0.0004166 = \frac{ 0.2496}{n}$

=> $n = 600$

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2 years ago

Solving Rational Inequalities and use sign diagram to sketch the graph. Image attached for better understanding.

hjlf

Answer:

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Step-by-step explanation:

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