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3 years ago

Drawing a jack from a deck of cards, not replacing it, and then drawing another jack or examples of dependent variables.

Mathematics

2 answers:

SSSSS [86.1K]3 years ago

7 0

<h2>Answer:</h2>

The given statement is a TRUE statement.

<h2>Step-by-step explanation:</h2>

Two events are said to be dependent if the happening of one event affect the happening of the second event.

In the given situation the given events are dependent.

Since in a deck of 52 playing cards there are 4 jack.

Hence, the probability of drawing a jack in the first draw is: 4/52

Now this drawn card is not replaced.

This means now in the second draw we have to chose a card from 51 remaining cards and also the number of jack that would be left are: 3

Hence, the probability of drawing a jack in second draw= 3/51

This means that the first event affect the happening of second.

Hence, the events are dependent.

Basile [38]3 years ago

3 0

The answer to this question is true

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<h2>Answer with explanation:</h2>

Let $\mu$ be the population mean lifetime of circulated $1 bills.

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$H_0:\mu=18\\\\H_a:\mu\neq18$

Since the alternative hypotheses is two tailed so the test is a two tailed test.

We assume that the lifetime of circulated $1 bills is normally distributed.

Given : Sample size : n=50 , which is greater than 30 .

It means the sample is large so we use z-test.

Sample mean : $\overline{x}=18.8$

Standard deviation : $\sigma=2.8$

Test statistic for population mean :-

$z=\dfrac{\overline{x}-\mu}{\dfrac{\sigma}{\sqrt{n}}}$

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