Question

Find the probability that a physics major will do post-graduate research for at most three years. $P(x\le 3)$ = _______

Short answer

The probability that a physics major will do post-graduate research for at most three years is:

$P(x\le 3)=0.70$

Step-by-step solution

Given Information

A physics teacher wants to know what percentage of physics students will undertake post-graduate research in the coming years. He has the probability distribution supplied to him.

Concept Used

The probabilities of $X$taking different values can be summed as they are mutually exclusive events.

Calculation & Explanation

From the above table, probability that a Physics major will do post-graduate research for at most $3$years that is: $P(X\le 3)$is

$P\left(1\right)+P\left(2\right)+P\left(3\right)=0.35+0.20+0.15=0.70$