hey everyone!! have a few questions that are for an economics subject but are basic stats stuff, and ive done them i just wanted someone to check if i have the right/wrong answer and help me if i have the wrong answer? thanks in advance!!
Suppose that the probability that tomorrow will be rainy is 0.38 and the probability of it being windy tomorrow is 0.31. Also the probability that it will rain and be windy tomorrow is 0.09. What is the probability it will be windy or rainy or both tomorrow? (to 2 dec pl)
the answer i got = 0.60
Survey data showed that 65% of families had incomes over $35,000, and 63% had two cars. According to the survey, the probability that a family has two cars if their income is over $35,000 is 0.76. What is the probability that a family has two cars and an income over $35,000? (to 3 dec pl)
i got = 0.494
A building contractor tenders for a government office block and a sports gymnasium. The office contract is to proceed first and the contractor estimates that his firm has a 62% chance of being awarded this contract. If he fails to win the office contract, the contractor believes he has a 59% chance of winning the gym contract, though if successful with the office contract he believes the chance of winning falls to 27%. Determine the probability that the contractor wins both of the contracts (as a decimal to 3 dec pl).
i got = 0.167
Thanks so much!!