Question

Strands of copper wire from a manufacturer are analyzed for strength and conductivity. The results from 100 strands are as follows: Strength High Low High conductivity 74 8 Low conductivity 15 3 a. If a strand is randomly selected, what is the probability that its conductivity is high and its strength is high

Answer 1

0.74

Explanation:

Given :

__________________ STRENGTH __

__________________High _ Low

High conductivity _____ 74 __ 8

Low conductivity _____ 15 ___ 3

Probability that conductivity is high and strength is high :

This the probability of High conductivity n High strength = P(High conductivity n High strength)

Probability = required outcome / Total possible outcomes

Required outcome = P(High conductivity n High strength) = 74 (from table)

Total possible outcomes = total sample size = 100

Hence,

P(High conductivity n High strength) = 74 / 100 = 0.74