Mathematics, 19.11.2020 21:20 shaylawaldo11

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.

Answers: 2

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Answer from: ggjhuvth

The probability that exactly 2 of the 3 tomato plants live is 0.44

The given parameters are:

$\mathbf{n =3}$ --- number of transplants

$\mathbf{r = 2}$ -- the number that lives

$\mathbf{p = 70\%}$ --- the probability that a transplant lives

So, the probability that exactly 2 live is calculated using the following binomial probability formula

$\mathbf{P(x = r) = ^nC_r * p^r * (1 - p)^{(n-r)}}$

This gives

$\mathbf{P(x = 2) = ^3C_2 * 0.7^2 * 0.3^{(3-2)}}$

$\mathbf{P(x = 2) = ^3C_2 * 0.7^2 * 0.3^1}$

Evaluate each factor

$\mathbf{P(x = 2) = 3 * 0.49 * 0.3}$

Multiply

$\mathbf{P(x = 2) = 0.44}$

Hence, the required probability is 0.44

Read more about probabilities at:

link

Answer from: letsgetcookingblog

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.

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)

Answer from: Quest

question 1 is 8, question 2 is 9, question 3 is 24

step-by-step explanation:

now, the numbers they give you at the top are the key. from there, you just have to plug and chug! let's try 1, 2, and 3!

key: a=3, b=5, c=6

1. a+5

remember, a=3, so we plug that in to get 3+5=8

2. 15-c

c=6, so we plug that in to get 15-6=9

3. 4b

b=6, so we plug it in to get 4*6=24

time to try the rest on your own! if you put the answers below in a comment, i'll check them for you!

Answer from: Quest

the answer is c.

step-by-step explanation:

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