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2 years ago

Which of the following is an example of dependent events?

Mathematics

2 answers:

butalik [34]2 years ago

7 0

Answer:

Option C - drawing one card after the other is the dependent event.

Step-by-step explanation:

To find : Which of the following is an example of dependent events?

Dependent Events

Definition- Two or more events are dependent if the outcome of one event affects the outcome of the other.

So, one event "depends" on another, they are dependent.

From the given examples :

a. tossing a coin and spinning a spinner - They are independent events because there is no effect of one on another.

b. tossing a coin twice - It is not a dependent event because they tossed together so event of one not effect the other.

c. drawing one card after the other - It is dependent event because drawing of one card is one event and drawing another card after the first event happened is depend on the first event.

Therefore, Option C is correct.

GrogVix [38]2 years ago

3 0

Out of the choices given, the best example of a dependent event is drawing one card after the other. The correct answer is C.

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Answer:

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Step-by-step explanation:

From the question we are told that:

Sample size n=38

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$P(a)=\frac{28}{38}$

$P(a)=0.73$

Generally the equation for A to be twice as popular as B is mathematically given by

$P(b)+2P(b)=3P$

Therefore Hypothesis

$Null H_0: p \leq \frac{2P}{3P} \\Altenative H_A:p>\frac{2P}{3P}$

Generally the equation normal approx of p value is mathematically given by

$z=\frac{x-np_0-0.5}{\sqrt{np_0(1-p_0)} }$

$z=\frac{28-(38*2/3)_0-0.5}{\sqrt{38*2/3*1/3} }$

$z=0.75$

Therefore from distribution table

$Pvalue=1-\theta (0.75)$

$Pvalue=0.227$

Therefore there is no sufficient evidence to disagree with the Null hypothesis $H_0$

Therefore the statement that cushion A is twice as popular as cushion B cannot be verified

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