SAT College

HELP ASAPPP!!!!
60%, percent of a certain species of tomato live after transplanting from pot to garden. Eli transplants 16 of these tomato plants in a garden each month. Assume that the plants live independently of each other. Let X equal the number of tomato plants that live each month.
Find the mean and standard deviation of X.
You may round your answers to the nearest tenth.

μx= ... tomatoes
σx= ... tomatoes

Answers

Answer 1

Answer:

Mean= 9.6

Standard Deviation= 2.0

Explanation:

Khan

Answer 2

The mean of ux is 9.6 tomatoes from the sample mean. The standard deviation σx is 2.0 tomatoes.

What is the mean (μx) of a Binomial Distribution?

A mean of a Binomial distribution can be expressed as E(X), it is the product of the sample mean and the random variable.

So,

E = μx = np

sample size (n) = 16Population proportion (p) = 0.6

μx  = 16 × 0.6

μx = 9.6 tomatoes

The exact standard deviation σx can be computed as:

[tex]\mathbf{\sigma_x = \sqrt{np(1-p)}}[/tex]

[tex]\mathbf{\sigma_x = \sqrt{16 \times 0.6 (1-0.6)}}[/tex]

σx = 2.0 tomatoes

Learn more about Binomial DIstribution here:

https://brainly.com/question/24756209

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