Question

ABС154Giving a test to a group of students, the grades and gender are summarized below. Round youranswers to 4 decimal places.Grades and GenderTotalMale1433Female 3 1021Total 18 24 1254If one student is chosen at random,a. Find the probability that the student got a B:8b. Find the probability that the student was female AND got an "A":C. Find the probability that the student was male OR got a "B":d. If one student is chosen at random, find the probability that the student got an 'B' GIVEN they arefemale:Calculator

Answer 1

a. Probability that the student got a B = 24/54 = 0.444444

= 0.4444 (4 decimal places)

b. Probability that the student was female AND got an "A":

`\begin{gathered} \text{ = }(3)/(54) \\ =0.055555 \\ =0.0556\text{ (4 decimal places)} \end{gathered}`

c.

Probability that the student was male OR got a "B"

`\begin{gathered} \text{ }(33)/(54)\text{ + }(24)/(54)-(14)/(54)\text{ = }(43)/(54)\text{ } \\ =0.796296 \\ =0.7963\text{ (4 decimal places)} \end{gathered}`

d. Probability that the student got an 'B' GIVEN they are female

`\begin{gathered} \text{ }\frac{p(B\text{ n Female)}}{p(\text{Female)}} \\ =(10)/(21) \\ =0.47619048 \\ =0.4762\text{ (4 decimal places)} \end{gathered}`