1. Two students A and B can solve 50% and 80% problems are respectively from the exercise. What is the probability that either A or B can solve a problem chosen at random.
2. For any events A and B, it is known that P(A) = 2/3 P( A U B )= 7/12 and P (A ∩ B) = 5/12. Find P ( B ).
Explain the meanings of the terms linearly dependent and coplanar. Make sure you demonstrate that you understand the difference between the terms, and the situation in which linear dependency implies coplanarity.
Jason works at Petco Refinery for $12.50 per hour. He also gets overtime pay (time and a half) for all hours over 40 that he works in a week. If he works holidays, he gets double time for the hours in that day, but they are not counted toward overtime. What would be his gross pay for two weeks?
A random sample of size n1= 40 households in the first community has a mean monthly icome of 1900$ with a standard deviation 540$. For the second community a sample of n1= 30 households has a mean of 1600$ with a standard deviation 420$.Using a 5% level of significance, test the null hypothesis that there is no difference between the average monthly household income in the two communities.