Calculate the Specified Probability
-Suppose That $\mathrm { K }$ Is a Random Variable

question 93

Multiple Choice

Calculate the specified probability
-Suppose that $\mathrm { K }$ is a random variable. Given that $\mathrm { P } ( - 3.45 \leq \mathrm { K } \leq 3.45 ) = 0.35$ , and that $\mathrm { P } ( \mathrm { K } < - 3.45 ) =$ $P ( K > 3.45 )$ , find $P ( K > 3.45 )$ .

• A)\(0.35\)
• B) \(0.65\)
• C) \(0.325\)
• D) \(1.725\)

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Definitions:

Sampling Distribution

The distribution of probabilities for a certain statistic, originating from a random sample.

Normal Distribution

In this type of distribution, occurrences of data are more frequent near the mean and decrease in frequency as they move away from the mean, with the distribution being symmetric.

Sampling Distribution

The probability distribution of a statistic based on random samples from a population, used to estimate population parameters.

Standard Deviation

An indicator of the degree to which a dataset's values vary or are dispersed, showing the extent of deviation from the average.