By investing in a particular stock, a person can make a profit in one year of $4000 with probability 0.3 or take a loss of $1000 with probability 0.7. What is this person’s expected gain?

Expected gain of person is $500.

Explanation:

Amount of profit to make=$4000

Probability of making $4000 profit=0.3

Amount of loss=$1000

Probability of loss=0.7

To Find:

What is this person’s expected gain?

Solution::

Let say Z denotes the gain then Z has two values +4000 and -1000.

(+ve sign for gain and -ve for loss)

By using the formula for expected value of discrete random variable.

where:

f(z) is the probability.

E(Z)=4000(0.3)+(-1000*0.7)

E(Z)=$500

Expected gain of person is $500.

the relative atomic mass of an element is the mass of one atom of that element, relative to 1/12th of the mass of a  1212c atom. to convert to an absolute mass in kg, it is necessary to multiply by  1.661×10−271.661×10−27.

the relative atomic mass is roughly equal to the number of neutrons, plus the number of protons, in the nucleus of the atom.

for elements with more than one stable isotope (different types of nucleus with different numbers of neutrons but the same number of protons), the quoted mass is usually the average mass, weighted by the relative abundance of the different isotopes.