69. A candidate is interviewed for 3 posts. For the first post, there are 3 candidates, for the secotfo there are 4, and for the third there are 2. What are the chances of his getting at least one pos?
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- Suppose we want to estimate the proportion of the Helena population who have used marijuana within the last month. We select 4328 participants and ask them each to first privately draw a card from a standard 52-card deck. If they get a “club” they are asked to respond truthfully to the question “Have you used marijuana within the last month?”If they get any other suit they are asked to respond to the question “Does your phone number end in an odd digit?”The study is blinded in the sense that the researcher doesn’t know which question the participant is answering. Hence, participants are guaranteed anonymity and are more likely to be truthful in their responses. The researchers only get a “yes” or “no” answer from each respondent and don’t know the actual results of the card draw. What is the expected probability of a person’s phone number ending in an odd digit? What is the expected probability of a person’s phone number not ending in an odd digit?The probability of someone getting covid positive is 0.6, the probability of someone dying suddenly given that he/she is covid positive is 0.3 and the probability of someone dying suddenly given that he/she is not covid positive is 0.1. Let’s say, someone just died. a. What is the probability that the person was covid positive?b. What is the probability that the person was not covid positiveA local county has an unemployment rate of 6%. A random sample of 16 employable people are picked at random from the county and are asked if they are employed. Round answers to 4 decimal places. a) Find the probability that exactly 4 in the sample are unemployed. b) Find the probability that there are fewer than 3 in the sample are unemployed. c) Find the probability that there are more than 2 in the sample are unemployed. d) Find the probability that there are at most 3 in the sample are unemployed.
- A survey in a Ruga community indicates, 15% of the inhabitants are herders. 10 people areinterviewed at random if they herders or not, find the probability that exactly 3 persons chosenat are herders. Use combination method to solve questionFind the probability that a man asked to form a two digit number out of 2, 3, 5, 7, 9 would form 79 when, (a) repetitions are not allowed (b) repetitions are allowed.Suppose the probability of raining during summer (a 100 days covering June to August) is 2%. It means that every summer, there will be exactly 2 days (2% x 100) with rain. a) True b) False
- Apparently it is a fact that 12% of people buy their pet a gift on Valentine’s Day.a) If you survey just 3 people, what are the odds that at least one of those people buys their pet a gift on Valentine’s Day? Calculate using the formula. b)If you survey 15 people, what are the odds that at least one of those people buys their pet a gift on Valentine’s Day? Calculate using the formula.13) The following table contains data about the perfomance of a couple of mutual funds with various stocks. Number of stocks which Number of stocks which increased in value last decreased in value last month 28 month Diverse Mutual Market Mutual 25 If one of the stocks is randomly selected, find the probability that the stock is from Diverse Mutual given that the stock increased last month. Write the answer as a simplified fraction. Show your work.a) Determine the probability that a randomly selected call was during the week. The probability is----- (Round to three decimal places as needed.) b. Determine the probability that a randomly selected call was less than 20 minutes. The probability is----- (Round to three decimal places as needed.) c. Determine the probability that a randomly selected call was 10 to less than 20 minutes. The probability is----- (Round to three decimal places as needed.) A call center for customer support records the time each customer requires for service and whether the call occurred during the week (Monday through Friday) or during the weekend (Saturday and Sunday). The results are shown in the accompanying table. Complete parts a through h. Time (minutes) Week Weekend Less than 5 15 4 5 to less than 10 27 3 10 to less than 15 12 8 15 to less than 20 23 5 More than 20 10 14