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ira [324]
3 years ago
13

Select Independent or Not independent for each situation. Not independent Independent a. A jar contains fifteen coins. Two coins

are picked randomly without replacement. b. A number cube is rolled twice. c. A box contains number cards labeled from 1 to 10. d. Two cards are chosen randomly with replacement. e. There are 3 green balls and 7 red balls in a bag. f. Two balls are chosen randomly without replacement.
Mathematics
1 answer:
satela [25.4K]3 years ago
4 0

Answer:

The correct answers are a. Independent; b. Independent; c. Independent;  e.  Not Independent

Step-by-step explanation:

a. A jar contains fifteen coins which. Two coins are picked randomly without replacement. Thus the second pick is not dependent on the first pick as the coins in the all same and thus the experiment is independent.

b. A number cube is rolled twice. Outcome of the first roll is independent of the outcome in the second and thus the experiment is independent.

c. A box contains number cards labeled from 1 to 10 where 2 cards are chosen randomly with replacement. Hence first draw does not effect the sample making the experiment independent.

e. There are 3 green balls and 7 red balls in a bag with 2 balls are chosen randomly without replacement. Thus one pick depends on what is drawn in the previous pick thus making it a dependent or not independent event.

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Step-by-step explanation:

<u>a) stem and leaf diagram for these data </u>

stem             leaf

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6               .1, .2, .2, .2, .5, .7, .7, .8

7               .1, .1, .1, .3, .4, .4, .4, .6, .6, .6, .7, .7, .8, .9, .9, .9

8              .0, .1, .1, .2, .2, .2, .4, .5, .7, .7, .7, .8, .8

9              .0, .1, .2, .3, .5, .5, .6, .6, .7

10             0

b) The data is bell shaped hence the assumption of X been normally distributed is correct

c) The categories are

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d) attached below

e) The probability of < 7 gallons = 0.167

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