In a large introductory statistics lecture hall, the professor reports that 59% of the students enrolled have never taken a calculus course, 26% have taken only one semester of calculus, and the rest have taken two or more semesters of calculus. the professor randomly assigns students to groups of three to work on a project for the course. you are assigned to be part of a group. what is the probability that of your other two groupmates, a) neither has studied calculus? b) both have studied at least one semester of calculus? c) at least one has had more than one semester of calculus?

solution:

→c= a b , that is product of a and b is possible only when when a is m × n matrix and b is n × p matrix.

that is, number of columns of a= number of rows of b.

so, size of matrix , c= a b is , if a = (m × n)matrix

b= (n × p)matrix

then a b = [ (m × n)matrix] ×[   (n × p)matrix ]

→→c= a b= [m × p ] matrix

→→size of product a b will be equal to = number of rows of a × number of columns of b

b

step-by-step explanation:

the word superfluous means unnecessary

according to this law, when unemployment goes up by 1%, gdp drops by 2%. in the question, unemployment rate goes from 2% to 5%, meaning unemployment goes up by 3%, so the gdp drops by 6%. thus the effect is a drop in gdp by 6%.

step-by-step explanation: