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Mashcka [7]
2 years ago
15

Suppose the dial on the spinner is spun 2 times in a row.

Mathematics
1 answer:
Ivenika [448]2 years ago
3 0

The probability of one success and one failure will be 4/9. Table C represents the probability distribution for the variable X.

<h3>What is probability?</h3>

The chances of an event occurring are defined by probability. Probability has several uses in games, in business to create probability-based forecasts,

The dials on the spinner are spun 2 times in a row.

P(dial lands on region)=P(success) = 2/3

P(failure) = 1/3

The probability that the two times dials on the spinner are not spun 2 times in a row.

P = (1/3)² = 1/9

The probability that the two times dials on the spinner are spun 2 times in a row.

P = (2/3)²= 4/9

One may calculate the probability of one success and one failure using the binomial distribution or by simply deducting the probabilities we previously determined from 1.

P = 1 - 1/9 - 4/9

P = 4/9

The probability of one success and one failure will be 4/9.

Hence table C represents the probability distribution for the variable

X.

To learn more about the probability, refer to the link;

brainly.com/question/11234923

#SPJ1

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Answer:

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Step-by-step explanation:

We are given the following in the question:

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80% confidence interval:

\dfrac{(n-1)S^2}{\chi^2_{\frac{\alpha}{2}}} < \sigma^2 < \dfrac{(n-1)S^2}{\chi^2_{1-\frac{\alpha}{2}}}

Putting values, we get,

=\dfrac{(67-1)3.85}{81.085} < \sigma^2 < \dfrac{(67-1)3.85}{51.770}\\\\=3.13

Thus, (3.13,4.91) is the required 80% confidence interval for the population variance of the weights.

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