At What Speed Would an Astronaut Need to Travel So

question 42

Multiple Choice

At what speed would an astronaut need to travel so that he would age 4.20 years while traveling a distance (as measured by an Earth observer) of 4.20 ly?

• A) 1.00 c
• B) This cannot be done.
• C) 0.50 c
• D) 0.707 c
• E) 0.750 c

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Definitions:

Continuous Random Variable

A variable that can take on an infinite number of values within a given range, representing measurements.

Binomial Distribution

An analytical distribution showing the probability of a variable assuming either of two separate states within a specified number of observations.

Poisson Distribution

A statistical distribution illustrating the likelihood of a specific count of occurrences within a definite time or space span, provided that these occurrences happen at a consistent, known rate and are independent of the duration since the preceding occurrence.

Hypergeometric Distribution

A probability distribution that describes the probability of k successes in n draws, without replacement, from a finite population containing a specific number of successes.