Answer:
Skewed Left :)
Step-by-step explanation:
Correct on Edge 2021
The probability of success (p = 0.8) in each trial remains constant.
The trials are independent. This implies that the outcome from one trial has no effect on the outcome to be obtained from any other trial.
Each trial results in only two possible outcomes, labeled as the success ( Blue ) and failure ( Not blue ).
The experiment is performed a fixed number of times (n=12).
The X is a binomial random variable is 0.1329.
Given that,
An online spinner has two colored regions--blue and yellow.
According to the website, the probability that the spinner lands in the blue region on any spin is 0.80.
Assume for now that this claim is correct. Suppose we spin the spinner 12 times.
We have to determine,
X is a binomial random variable.
According to the question,
Therefore,
Number of trials: n = 12
Probability of success: p = 0.8
Let, x be the number of successes ( Blue ) in 12 trials.
The probability function of X:
[tex]P(X=x) = \ ^nC_x \times P^x \times (1-p)^{n-x}[/tex]
To find P(X = 8). Interpret this value in context.
At x = 8
[tex]P(X=8) = \ ^{12}C_2 \times (0.8)^{8} \times (1-0.08)^{12-8}\\\\P(X=8) = \dfrac{12!}{10!\ 2!} \times (0.8)^8\times (0.92)^4\\\\P(X=8) = 495 \times (0.167) \times (0.0016)\\\\P(X=8) = 0.1329[/tex]
Hence, The X is a binomial random variable is 0.1329.
To know more about Binomial click the link given below.
https://brainly.com/question/20910900
