Please show work Trucks that ravel on highways have o sto a van s ocations o be
ID: 3354302 • Letter: P
Question
Please show work
Trucks that ravel on highways have o sto a van s ocations o be e ghed and nspected for sa e ora es those that are on interstate business. Complete parts a through c below d ght system Of these ucks, 3 % are on terstate commerce wh e 18% are m as te the intrastate ucks. 3 8% are flagged or safety defects compared to 0 % of Calcuate the probability that a randomly chosen truck is an interstate truck and is not flagged for a safety vialatian The probability is Round to three decimal places as needed.) b. Wat is the probablity that a randomly chosen truck does not have a salety delect? Round to three decimal places as needad.) c·if two trucks are chosen randomly, determine the probablity that only one of the two does not have a safety defect. The probability is Round to three decimal places as needad.)Explanation / Answer
a) P(interstate and not flagged) = 0.82 x (1-0.038)
= 0.789
b) P(doesnt have safety defect) = 0.82x(1-0.038) + 0.18x(1-0.006)
= 0.968
c) P(only one of the two have a safety defect) = P(no truck having safety defect) + P(exactly one truck having safety defect)
= 0.968x0.968 + 2x0.968x(1-0.968)
= 0.937 + 0.062
= 0.999