Question

the following table contains data from a study of two airlines which fly to small town, usa. if one flight is selected, find p(on time and upstate airlines).
podunk airlines: number of flights which were on time 33, number of flights which were late 6
upstate airlines: number of flights which were on time 43, number of flights which were late 5
a. $\frac{11}{76}$
b. $\frac{43}{87}$
c. $\frac{43}{76}$
d. none of the above

Explanation:

Step1: Calculate total number of flights

Total number of flights = \(33 + 6+43 + 5=87\)

Step2: Determine number of on - time Upstate Airlines flights

Number of on - time Upstate Airlines flights is 43.

Step3: Calculate probability

Probability \(P(\text{on time and Upstate Airlines})=\frac{\text{Number of on - time Upstate Airlines flights}}{\text{Total number of flights}}=\frac{43}{87}\)

Answer:

B. \(\frac{43}{87}\)