Question

1. i recently gave a test to a good number of students from my ap pre-math 1/2 honors gt regular class. here are the results of the probability distribution.

2a. if i randomly choose 1 student at random from the distribution, what is the probability he/she got an f? round to the tenth.

Explanation:

Step1: Use the property of probability distribution

The sum of all probabilities in a probability distribution is \(1\). Let \(P(F)\) be the probability of getting an \(F\). Then \(P(A)+P(B)+P(C)+P(D)+P(F) = 1\).

Step2: Substitute the known values

We know that \(P(A)=0.1\), \(P(B) = 0.3\), \(P(C)=0.35\), \(P(D)=0.05\). Substituting these into the equation: \(0.1+0.3 + 0.35+0.05+P(F)=1\).

Step3: Simplify the left - hand side

\(0.1+0.3+0.35 + 0.05=0.8\). So the equation becomes \(0.8+P(F)=1\).

Step4: Solve for \(P(F)\)

Subtract \(0.8\) from both sides: \(P(F)=1 - 0.8=0.2\).

Answer:

\(0.2\)