Question

azul is planting a vegetable garden. he is using a bag of marbles to determine how many of each veggie to plant. his bag contains 10 red marbles representing tomatoes, 80 green marbles representing zucchini, and 110 orange and marbles representing carrots. zillow randomly selects a marble from the bag, then replaces it and shakes up the bag before selecting another marble. if he repeats this 50 times, about how many zucchini can he expect plan?

Answer 1

1. Total number of marbles=10 red marbles+80 green marbles+110 orange marbles=200 marbles
2. Let's call "V" the event that consists that he selects a green marble from the bag. Then:
 P(x)=80/200
 P(x)=0.4

 3. This problem can be represented by a binomial distribution, where:

 P=0.4
 q=1-P=0.6
 n=50

 4. The expect value in a binomial function is written as below:

 E(x)=nxP
 E(x)=50x0.4
 E(x)=20

 The answer is: He can expect 20 zucchini.

Answer 2

If he repeats this 50 times, then the expected value in the binomial function is 20 zucchini.

What is probability?

Probability means possibility. It deals with the occurrence of a random event. The value of probability can only be from 0 to 1. Its basic meaning is something is likely to happen. It is the ratio of the favorable event to the total number of events.

Azul is planting a vegetable garden.

He is using a bag of marbles to determine how many of each veggie to plant.

His bag contains 10 red marbles representing tomatoes, 80 green marbles representing zucchini, and 110 orange marbles representing carrots.

Zillow randomly selects a marble from the bag, then replaces it and shakes up the bag before selecting another marble.

The total number of the marble will be

Total marble = 10 + 80 + 110 = 200

Then the probability of the green marble will be

p(x) = 0.4

If he repeats this 50 times, then the expected value in the binomial function is given as

E(x) = np

E(x) = 50 × 0.40

E(x) = 20

More about the probability link is given below.

https://brainly.com/question/795909