Question

Find the probability that a physics major will do post-graduate research for four years.

$P(x=4)=\_\_\_\_\_\_\_$

Short answer

The probability that a Physics major will do post-graduate study for $4$years is 0.15 that is $P(X=4)=0.15$

Step-by-step solution

Given Information

A physics professor is concerned about the percentage of physics majors who will spend the following few years pursuing post-graduate study. He is in possession of the following probability distribution:

Step 2: Explanation

Because the sum of all the possibilities of all the value obtained by a variables is $1$, the sum of the $P\left(x\right)$columns equals one.

$0.35+0.20+0.15+\mathrm{P}\left(4\right)+0.10+0.05=1$

that means

$\mathrm{P}\left(4\right)+0.85=1\mathrm{So},\mathrm{P}\left(4\right)=1-0.85=0.15$