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- There are three financial aid counselors. If a student’s last initial is from A – H, let them know that their counselor is Jon Stewart. If a student’s last initial is from I – Q, let them know that their counselor is Chelsea Handler. If a student’s last initial is from R – Z, let them know that their counselor is Brian Williams.Ask student for the FICO score, if it’s less than 660 tell that this student cannot have a loan. c++A group of 15 students made up of 9 females and 6 males form a committee of 5 What is the probability the committee is made up of 3 females and 2 males?There are three financial aid counselors. If a student’s last initial is from A – H, let them know that their counselor is Jon Stewart. If a student’s last initial is from I – Q, let them know that their counselor is Chelsea Handler. If a student’s last initial is from R – Z, let them know that their counselor is Brian Williams.Ask student for the FICO score, if it’s less than 660 tell that this student cannot have a loan.
- A student goes to the school canteen. The probability that they get fish is 0.2, get chips is 0.5, or both is 0.1. What is the probability that the student gets fish, chips, OR both?Activity 4.4.2: Expected Value In the random experiment of rolling a single six-sided die, the random variable X takes the values 1, 2, 3, 4, 5, 6, and each of these values has probability ⅙. Compute the expected value E(X). When all of the values of a random variable are equally likely, what is another name for the expected value? Recall the random experiment of rolling two four-sided dice in Activity 4.4.1, Question 1. Let X be the random variable representing the sum of the numbers indicated by the two dice. Compute the probability of each value of X. Compute E(X), the expected value of X. Write one sentence interpreting the meaning of this value in the context of rolling two four-sided dice. Recall Question 3 of Activity 4.4.1. In the street map below, compute the expected number of turns made by a commuter choosing a random direct route from point T to point B.A box contains three fair coins, and two trick coins that have heads on both sides.(a) What is the probability that a randomly selected coin from the box will come up heads whenflipped? (b) Suppose you randomly pick a coin from the box and flip it, and it comes up heads. What is theprobability that it’s one of the trick coins? (c) Let X be the random variable that represents the number of heads when every coin in the box isflipped. What is the probability distribution of X? (Hint: you can try counting all the outcomes,or you can remember that coin flips are independent of each other.) (d) What is the expected number of heads when all the coins are flipped?Page 2
- EXERCISE - You go to a market to pick out some gourds to decorate your house for Halloween. The market has a special October deal where you get 3 randomly chosen gourdss for $10. Each gourd can either be an orange pumpkin, a green pumpkin or a squash. The probabilities for picking each one of them are: P(orange pumpkin) = 0.6, P(green pumpkin) = 0.3, and P(squash) = 0.1. A: What is the probability that the first gourd is an orange pumpkin, the second is a green pumpkin, and the third is a squash? B: What is the probability that you get all 3 as orange pumpkins? C: What is the probability that you get no squashes? D: What is the probability that you get at least one orange pumpkin? (ANSWERE USING PYTHON): You have a basketball hoop and someone says that you can play one of two games.Game 1: You get one shot to make the hoop.Game 2: You get three shots and you have to make two of three shots.If p is the probability of making a particular shot, for which values of p should you pick one gameor the other?In a large city A, 20 per cent of a random sample of 900 school children had defective eye-sight. In other large city B, 15 per cent of random sample of 1,600 children had the same defect. Is this difference between the two proportions significant ? Obtain 95% confidence limits for the difference in the population proportions. Write C code for the following answer
- Suppose, you are working in a company ‘X’ where your job is to calculate the profit based on their investment.If the company invests 100,000 USD or less, their profit will be based on 75,000 USD as first 25,000 USD goes to set up the business in the first place. For the first 100,000 USD, the profit margin is low: 4.5%. Therefore, for every 100 dollar they spend, they get a profitof 4.5 dollar.For an investment greater than 100,000 USD, for the first 100,000 USD (actually on 75,000 USD as 25,000 is the setup cost), the profit margin is 4.5% where for the rest, it goes up to 8%. For example, if they invest 250,000 USD, they will get an 8% profit for the 150,000 USD. In addition, from the rest 100,000 USD, 25,000 is the setup cost and there will be a 4.5% profit on the rest 75,000. Investment will always be greater or equal to 25,000 and multiple of 100.Complete the RECURSIVE methods below that take an array of integers (investments)and an iterator (always sets to ZERO(‘0’) when the…Put the answer if you are 100% sure of the answer, otherwise noA coin is flipped 10 times in a row. a. What is the probability that it lands heads up exactly 8 times? b. What is the probability that it lands heads up at least 8 times? c. What is the probability that it lands heads up at most 8 times