Question

70%70, percent of a certain species of tomato live after transplanting from pot to garden. Najib transplants 333 of these tomato plants. Assume that the plants live independently of each other. Let X =X=X, equals the number of tomato plants that live.
What is the probability that exactly 222 of the 333 tomato plants live?
You may round your answer to the nearest hundredth.

Answer 1

Answer: 0.441

Step-by-step explanation:

Answer 2

Complete question :

70% of a certain species of tomato live after transplanting from pot to garden. Najib transplants 3 of these tomato plants. Assume that the plants live independently of each other. Let X = the number of tomato plants that live.

What is the probability that exactly 2 of the 3 tomato plants live?

You may round your answer to the nearest hundredth.

Answer:

0.44

Step-by-step explanation:

Given that :

P(live after transplanting) = 0.7

Assume plants live independently of each other :

Number of tomatoes transplanted = 3

Number of potatoes that live = x

Probability that exactly 2 of the 3 tomatoes live?

Using binomial probability ;

p = 0.7

1 - p = 1 - 0. 7 = 0.3

P(x = x) = nCx * p^x * (1 - p)^(n-x)

P(x = 2) = 3C2 * 0.7^2 * 0.3^(3-2)

P(x = 2) = 3C2 * 0.7^2 * 0.3^1

P(x = 2) = 3 * 0.49 * 0.3

P(x = 2) = 0.441

= 0.44 ( nearest hundredth)