F YOU KNOW THE REMANING 10 STUDENTS IN THE SPELLING BEE, WHAT IS THE PROBABILITY OF RANDOMLY SELECTING AN ORDER AND GETTING THE ORDER THAT IS USED IN THE SPELLING BEE?

There is a jar of coins sitting on the table in the center of the room. The jar contains 9 pennies, 12 nickels, 10 dimes, and 5 quarters. What is the probability of drawing 2 coins from the jar and getting exactly 20 cents?

The acts in a talent competition consist of 4 instrumentalists, 10 singers, and 6 dancers. If the acts are ordered randomly, what is the probability that a dancer performs first?

If you know the names of the remaining seven students in the spelling bee, what is the probability of randomly selecting an order and getting the order that is used in the spelling bee? P(selecting the correct spelling bee order) = %3D (Type an integer or a simplified fraction.)

Canvas generates a random exam by picking 7 questions from a bank of 10 questions. How many different exams are possible?

Compute the probability of drawing a King or a heart from a deck of cards.

Jean puts 12 books on a shelf in random order. Three are by the same author. What is the probability that those 3 books will be next to each other?

Many institutes, departments, and recruitment committees are using citations as part of the assessment process involved in making new appointments. By going through scientific databases like Scopusselection panels can check if a candidate’s work is making an impact by being cited by other researchers in their field. How does the scientific community measure how "good" or "great" a journal or an author is? How do you determine the "impact" of an author's work? The most 2common metric to track an author's impact is ask how often they are cited. The following table presents the number of citation on research publications of two Management Science professors over a period of 17years, 2005 to 2021, data taken from Google Scholar. The objective of this assignment is to find a suitable forecasting method (moving average, exponential smoothing, and/or simple linear regression model) to predict near future citation of a researcher.  (a) For each professor, develop a scatter diagram on his…

In a Lotto, 6 numbers of 49 are winning numbers. You have to pick 6 numbers. What is the probability of guessing 4 winning numbers?

There are eight different sizes of puzzles. Each person takes a turn selecting and keeps it. What is the probability that the first puzzle chosen is a 100-piece and the second is a 1000-piece puzzle?