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- Three balls are selected from a bag that contains 3 blue, 2 green, and 5 yellow balls. Here, we define random variables as B = number of blue balls drawn, G = number of green balls drawn, Y = number of yellow balls drawn. Please list the following values:4. In an organization consisting of 5 women and 10 men, a committee of four individuals is to be selected at random from the 15 people. Find the distribution of the random variable, X = Number of women on the committee. %3DAustin decided to give Taylor Swift another chance. So, he listened through all her songs from 2009. There were 8 in total. Let the random variable X be the number of songs in which she complained about some boy. The probability of complaining about a boy is 56%. (a) Is X a discrete or continuous random variable? How do you know? (b) What are the possible values of X? (c) Does X follow a distribution that we covered in class? If so, how do we know? Properly label the distribution.
- Suppose that three of your family (ex: mother,father and you) drop their cell phones at your house and that each of them picks up the cellphone at random, list the elements of the sample space S using using the letter O and N for own phone and not his/her own phone to be picked, respectively. To each sample point assign a value x of the random variable X representing the number of people who get their right cell phone . Complete the table below.Which of the following is not a random variable? The number of heads in ten tosses of a fair coin. The number of passengers in cars passing though a toll booth. The age of the driver in cars passing through a toll booth. The response of randomly-selected people to the question, “Did you eat breakfast this morning?” The response of randomly-selected people to the question, “How many hours of sleep did you get last night?"2. In a population it is estimated that 20% have a desired trait of interest for the researcher. The researcher wants to know how many people on average he has to draw from a population to get 2 people with the trait. Use rows 20-24 of the Random Number Table to carry out the simulation. Explain clearly how you set up the problem and report your findings. Answer:
- Three students scheduled interviews for summer employment at the Tiket.com. In each case the interview results in either an offer for a position or no offer. Experimental outcomes are defined in terms of the results of the three interviews.a. List the experimental outcomes.b. Define a random variable that represents the number of offers made. Is the random variable continuous?c. Show the value of the random variable for each of the experimental outcomes. In an organization consisting of 5 women and 10 men, a committee of four individuals is to be selected at random from the 15 people. Find the distribution of the random variable, X = Number of women on the committee.What could be the possible values of the random variable below? Number of blood donors in a donation drive x20 x = 1,2, 3,... 05xS 1000 O Not a random variable x 0,1,2, 3,...
- 67% of LaGuardia students are female. A random sample of 6 students is to be selected. Let the random variable X be the number of female students in a sample. a. What is the probability that out of 6 randomly selected students at most 2 are male? b. Find the average number of female students per sample if a large number of random samples of 20 students were selected.The mean of a random variable will be negative if all possible values of the random variable negative. O True O False