Choose 1 doctor at random. (a) Find P (male given pediatrician). (b) Find P (pathologist given female)
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- In a hall, one row has 20 seats. The GSI randomly permutes 20 students into those 20 seats. a) Students A and B are among the 20 students in the row. Find the decimal value of the expected number of students sitting between them. b) The 20 students in the row include 7 Data Science majors. Find the expected number of Data Science majors who are not seated next to another Data Science major. You don't have to find the decimal value.The executives of an accounting firm plan to survey a random sample of clients to determine how satisfied they are with the service they have received. Of the firm's 5412 regular clients, 500 are surveyed and 435 claim to be very satisfied with the service they have received. The sample is the: 5412 regular clients. 500 clients surveyed. 65 clients that were not satisfied. 435 satisfied clients.A friend of mine is giving a dinner party. His current wine supply includes 7 bottles of zinfandel, 11 of merlot, and 13 of cabernet (he only drinks red wine), all from different wineries. (a) If he wants to serve 3 bottles of zinfandel and serving order is important, how many ways are there to do this? (b) If 6 bottles of wine are to be randomly selected from the 31 for serving, how many ways are there to do this? (c) If 6 bottles are randomly selected, how many ways are there to obtain two bottles of each variety? (d) If 6 bottles are randomly selected, what is the probability that this results in two bottles of each variety being chosen? (Round your answer to three decimal places.) (e) If 6 bottles are randomly selected, what is the probability that all of them are the same variety? (Round your answer to three decimal places.)
- Assume that 900 births are randomly selected and 443 of the births are girls. Use subjective judgment to describe the number of girls as significantly high, significantly low, or neither significantly low nor significantly high.A small company is interested in determining how many of its employees are still paying off student loans. However, the company doesn't want to allocate the resources required to survey every single employee. So they decide to randomly sample 2 individuals from each department using a simple random sample approach. There are a total of 6 individuals that work in the human resources department. How many possible distinct combinations of 2 individuals could be selected from the human resources department?A bowl contains 13 marbles of which 4 are red, 3 are white, and 6 is black. One marble is selected at random from the bowl and the color is observed. The possible outcomes are {red, white, black} Is each outcome equally likely? ? ◊ Which outcome is more likely? Select an answer P(White) = Give answer as a fraction.
- When planning a date night, you have a choice of 2 types of restaurants: pizza (P) or barbeque (B); a choice of 4 types of movies: romantic comedy (R), action/adventure (A), drama (D), or foreign film (F); and a choice of 2 types of post-movie activities: grabbing coffee (C) or getting ice cream (I). If you are choosing only one of each, list the sample space in regard to the dates (combinations of restaurants, movies, and post-movie activities) you could pick from.11 samples of different sweets are on display as customers leave a store, theyare told that they can choose any 4 samples. How many different selectionscan a customer make?In a class there are 4 students who are 19 years old and obtained 80 pints in the midterm. There are 6 students who are 19 years old and obtained 50 pints in the midterm. There are 6 students who are 20 years old and obtained 80 pints in the midterm. There are n students who are 20 years old and obtained 50 pints in the midterm. There are no other students. We randomly pick a student in the class, let their age be X and their score by Y. If we are given that X, Y are independent random variables, then compute n.
- An Internet banking system uses passwords that are six characters, and each character are one of the 26 letters (a – z) or 10 digits (0 – 9). The first character must be a letter. The passwords are not case-sensitive. Determine the proportion of passwords that begins with a vowel or ends with an odd number.A radio station surveyed 110 students to determine the sports they liked. They found 45 liked basketball, 70 liked football, and 35 liked neither type. Let U = {all students surveyed}, B = {students who liked basketball}, F = {students who liked football}. How many of the students liked at least one of the two sports? n(BnF)
