Chapter 4.2, Problem 73PE

(a)

To determine

To calculate: The value $P\left(2\right),P\left(3\right),P\left(4\right)$ and $P\left(5\right)$ for $P\left(x\right)={\left(\frac{1}{4}\right)}^x$.

(b)

To determine

Does the probability of guessing correctly on all x questions increase or decrease as more questions are added to the test. For $P\left(x\right)={\left(\frac{1}{4}\right)}^x$.

(c)

To determine

Would it be likely or unlikely for a student to guess correctly on all questions if the test had 10 questions for $P\left(x\right)={\left(\frac{1}{4}\right)}^x$