Answer:
Step-by-step explanation:
given that on a six-question multiple-choice test there are five possible answers for each question, of which one is correct and four are incorrect
By mere guessing probability for choosing correct answer = p = 0.2
also each question is independent of the other
Hence if X is the number of correct questions then
X is binomial with p = 0.2 and n = 6
a) being correct on three questions,
=
(b) being correct on four questions,
= 
(c) being correct on all six questions
=
Answer:3/14
Step-by-step explanation:
The probability that it is a blue marble is 3 out of total marbles of 14
f(x) = 
In this exponential function , the base is 
if base is less than 1 then it a decreasing function
We can verify it using a table
We plug in some x and values and find out f(x) to get point for the graph
x -----> f(x)
-1 -----> 2
0 ------> 1
1 -------> 0.5
The table is same as the points in first graph.
So first graph represents the graph of f(x) =
Since Theoretical probability is the ratio desired outcomes/total outcomes, the theoretical probability would be 41/240
