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Magazine Chapter 4: Q.27 (page 284)
On average, how many years would you expect a physics major to spend doing post-graduate research?
Use the following information to answer the next seven exercises: A ballet instructor is interested in knowing what percent
of each year's class will continue on to the next, so that she can plan what classes to offer. Over the years, she has established
the following probability distribution.
鈥� Let the number of years a student will study ballet with the teacher.
鈥� Let the probability that a student will study ballet x years.
Short Answer
A physics major can expect to spend 2.6 years doing post-graduate research on average.
Step by step solution
Given Information
A physics professor wants to know what percentage of physics students will undertake post-graduate research in the coming few years. He is given the following probability distribution:
Calculation
The total of the probability of all the values measured by a variables is 1, so the sum of the P(X) column equals one.
so,
The estimation of theVariables, which is produced by multiplication of and then adding all values, is the average number of years that a physics major is predicted to spent pursuing post-graduate study.
Explanation
The expression is framed as :
As a result, a physics major may estimate to spent years pursuing post-graduate study on average.
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