a company is expanding globally and sending its employees overseas for business meetings. the travel…

a company is expanding globally and sending its employees overseas for business meetings. the travel department is booking flights on a number of different airlines. the frequency table below shows the distribution of airline tickets purchased over the course of the last year. assume that each employee attended only one overseas meeting that year.\nwhat is the probability of traveling to beijing or flying on skylark airlines?\nrows represent the different airlines with which the employees have flown.\ncolumns represent the different cities to which the employees have traveled.\n\n| | singapore | johannesburg | beijing | total |\n|--|--|--|--|--|\n| elevation | 5 | 10 | 2 | 17 |\n| cloud crew | 6 | 7 | 7 | 20 |\n| skylark | 9 | 6 | 8 | 23 |\n| total | 20 | 23 | 17 | 60 |\n\nevent a: traveling to beijing\nevent b: flying on skylark airlines\n\nuse the frequency table to compute the following:\nprobability of traveling to beijing:\np(a) =\n\nprobability of flying on skylark airlines:\np(b) =\n\nprobability of traveling to beijing and flying on skylark airlines:\np(a and b) =\n\nprobability of traveling to beijing or flying on skylark airlines:\np(a or b) =

a company is expanding globally and sending its employees overseas for business meetings. the travel department is booking flights on a number of different airlines. the frequency table below shows the distribution of airline tickets purchased over the course of the last year. assume that each employee attended only one overseas meeting that year.\nwhat is the probability of traveling to beijing or flying on skylark airlines?\nrows represent the different airlines with which the employees have flown.\ncolumns represent the different cities to which the employees have traveled.\n\n| | singapore | johannesburg | beijing | total |\n|--|--|--|--|--|\n| elevation | 5 | 10 | 2 | 17 |\n| cloud crew | 6 | 7 | 7 | 20 |\n| skylark | 9 | 6 | 8 | 23 |\n| total | 20 | 23 | 17 | 60 |\n\nevent a: traveling to beijing\nevent b: flying on skylark airlines\n\nuse the frequency table to compute the following:\nprobability of traveling to beijing:\np(a) =\n\nprobability of flying on skylark airlines:\np(b) =\n\nprobability of traveling to beijing and flying on skylark airlines:\np(a and b) =\n\nprobability of traveling to beijing or flying on skylark airlines:\np(a or b) =

Answer

Explanation:

Step1: Calculate probability of traveling to Beijing

Probability is number of favorable outcomes over total outcomes. Number of employees traveling to Beijing is 17 and total number of employees (total tickets) is 60. So $P(A)=\frac{17}{60}$.

Step2: Calculate probability of flying on Sky - Lark airlines

Number of employees flying on Sky - Lark airlines is 23 and total number of employees is 60. So $P(B)=\frac{23}{60}$.

Step3: Calculate probability of traveling to Beijing and flying on Sky - Lark airlines

Number of employees traveling to Beijing and flying on Sky - Lark airlines is 8 and total number of employees is 60. So $P(A\ and\ B)=\frac{8}{60}=\frac{2}{15}$.

Step4: Calculate probability of traveling to Beijing or flying on Sky - Lark airlines

Use the formula $P(A\ or\ B)=P(A)+P(B)-P(A\ and\ B)$. Substitute the values: $P(A\ or\ B)=\frac{17}{60}+\frac{23}{60}-\frac{8}{60}=\frac{17 + 23-8}{60}=\frac{32}{60}=\frac{8}{15}$.

Answer:

$P(A)=\frac{17}{60}$ $P(B)=\frac{23}{60}$ $P(A\ and\ B)=\frac{2}{15}$ $P(A\ or\ B)=\frac{8}{15}$