A. You note that your officer is happy in 60% cases of your calls. You also notice that if he is happy, he accedes to your requests with a probability of 0.4, whereas if he is not happy, he accedes to your request with a probability of 0.1. You call him one day and he accedes to your request. What is the probability of his being happy?
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- A certain undergraduate university consists of 35% freshmen, 28% sophomores, 25% Juniors, and the rest seniors. You learn that the probability a freshman will drop out during the current year is .12, the probability a sophomore will drop out during the current year is .08, and the probability a junior will drop out during the current year is .06. For some reason the drop-out rate for seniors was not reported. However, you learn that the dropout probability for all undergraduates is .088.What is the probability that a senior will drop out during the current year?Answer the Following Question Lavelle wears socks that are either red, white, or black. If there's a 28% chance that he'll wear white socks on a given day and a 42% chance of black socks, what is the probability of wearing red socks?An investment counselor calls with a hot stock tip. He believes that if the economy remains strong, the investment will result in a profit of $50,000. If the economy grows at a moderate pace, the investment will result in a profit of $10,000. However, if the economy goes into recession, the investment will result in a loss of $50,000. You contact an economist who believes there is a 20% probability the economy will remain strong, a 70% probability the economy will grow at a moderate pace, and a 10% probability the economy will slip into recession. What is the expected profit from this investment? The expected profit is (Type an integer or a decimal.)
- Please help with #80.I need help solving this statistics problem.The management of marks department store estimates that approximately 6% of all shoppers shoplift. Of those people who shoplift, 98% are stopped by security. Of the other 94% of the shoppers, 1% are mistakenly identified as shoplifters by security. If a shopper is detained by security, what is the probability that the person was in fact a shoplifter?
- Q. No. 3. A famous football team plays 60% of games at night and 40% during the day. The team wins 50% of the night games and 70% of the day games. According to print media reports, the team won yesterday. i. What is the probability the game was played during the day? ii. What is the probability the game was played at night?An investment counselor calls with a hot stock tip. He believes that if the economy remains strong, the investment will result in a profit of $40,000. If the economy grows at a moderate pace, the investment will result in a profit of $10,000. However, if the economy goes into recession, the investment will result in a loss of $40,000. You contact an economist who believes there is a 20% probability the economy will remain strong, a 70% probability the economy will grow at a moderate pace, and a 10% probability the economy will slip into recession. What is the expected profit from this investment?In automotive repair, experience has shown that a rough - running engine can be attributed to the bad ignition wires 35% of the time, bad spark plugs 80% of the time, and both problems 20% of the time. Suppose a mechanic begins to diagnose the problem by checking the spark plugs first and find them to be bad. Given this information, what is the probability that the wires are also bad?
- Kindly answer itA company requires all job applicants to undergo drug testing for employment. If the applicant has used drugs the test has a 90% chance of a positive result. If the applicant has not used drugs the test has an 85% chance of a negative result. 4% of all applicants have used drugs. If an applicant has a positive test, what is the probability he or she has actually used drugs?An investment counselor calls with a hot stock tip. He believes that if the economy remains strong, the investment will result in a profit of $40,000. If the economy grows at a moderate pace, the investment will result in a profit of $20,000. However, if the economy goes into recession, the investment will result in a loss of $40,000. You contact an economist who believes there is a 20% probability the economy will remain strong, a 70% probability the economy will grow at a moderate pace, and a 10% probability the economy will slip into recession. What is the expected profit from this investment?