Determine whether the given procedure results in a binomial distribution. If not, state the reason why. Choosing 5 marbles from a box of 40 marbles (20 purple, 12 red, and 8 green) one at a time without replacement, keeping track of the number of red marbles chosen. Not binomial: the trials are not independent. Not binomial: there are too many trials. Procedure results in a binomial distribution. Not binomial: there are more than two outcomes for each trial. g

Not binomial: the trials are not independent.

Step-by-step explanation:

Binomial distribution:

In samples with replacement, as the probability has to be the same for each trial, that is, they are independent.

Hypergeometric distribution:

Samples without replacement, as the probabilities depends on the previous outcomes, that is, they are not independent.

In this question:

Marbles are chosen without replacement, which means that for each trial the probabilities of choosing a red marble are different, which means that the trials are not independent. So the answer is:

Not binomial: the trials are not independent.

horizontal translation of 2 units in the positive x direction

followed by

vertical translation of 3 units in the positive y direction

use an equation of ratios to determine the amount of gas needed to fill the tank.

    0.2             0.8

  =    

288.75             x

                                                              231 gal

so, 0.2x = (0.8)(288.75 gal), and x = = 1155 gal.

                                                                0.2

it would take 1155 gal. to fill the tank.

the cost would be

1155 gal         $3

* = $3465   (answer)

      1           1 gal

hope this you