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Lapatulllka [165]
2 years ago
10

True or false? The experimental probability or relative frequency is based on actual results from an experiment and may differ f

rom the theoretical probability of an event occurring. The Experimental Probability will be almost the same as the Theoretical Probability as the number of trials of an experiment is very small
Mathematics
1 answer:
V125BC [204]2 years ago
3 0

Answer:

a. False

b. False

Step-by-step explanation:

a. The experimental probability or relative frequency is based on actual results from an experiment and may differ from the theoretical probability of an event occurring.

This statement is false because, both the experimental and theoretical probability must agree for the probability of the event occurring to the true.

If both do not agree, that means we have two different probabilities for a s ingle event, which cannot be true. So, the statement is false.

b. The Experimental Probability will be almost the same as the Theoretical Probability as the number of trials of an experiment is very small

This statement is also false because, the experimental and theoretical probabilities only agree when the number of trials of an experiment become large. For small number of trials, both the experimental and theoretical probabilities might not agree.

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3 years ago
what is the probability of seeing a sample mean for 21 observations less or equal to the sample mean that we observed
kramer

Answer:

P(x \le 21) = 0.69146

Step-by-step explanation:

The missing parameters are:

n = 64 --- population

\mu = 20 --- population mean

\sigma = 16 -- population standard deviation

Required

P(x \le 21)

First, calculate the sample standard deviation

\sigma_x = \frac{\sigma}{\sqrt n}

\sigma_x = \frac{16}{\sqrt {64}}

\sigma_x = \frac{16}{8}

\sigma_x = 2

Next, calculate the sample mean \bar_x

\bar x = \mu

So:

\bar x = 20

So, we have:

\sigma_x = 2

\bar x = 20

x = 21

Calculate the z score

x = \frac{x - \mu}{\sigma}

x = \frac{21 - 20}{2}

x = \frac{1}{2}

x = 0.50

So, we have:

P(x \le 21) = P(z \le 0.50)

From the z table

P(z \le 0.50) = 0.69146

So:

P(x \le 21) = 0.69146

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Answer:

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Step-by-step explanation:

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