A university scholarship committee must select two students to receive a scholarship for the next academic year. The committee receives 10 applications for the scholarship, 6 from students applying in-state and 4 studentsapplying out-of-state. Suppose the applicants are all equally qualified, so that the selections are randomly made. Let the random variable, X, be the number of in-state students who receive a scholarship.Would this situation fit a binomial setting or what condition is not met?O a. This situation would fit the binomial setting.O b. This situation would not fit the binomial setting since there are not a fixed number of trials.O. This situation would not fit the binomial setting since the probability of success is not the same from trial to trial.O d. This situation would not fit the binomial setting since there are not two possible outcomes at each trial.

Solution-: Given: Number of students in state=6, Number of students out of state =4 Let, X- be the…

Answered: A university scholarship committee must…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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An number cube (a fair die) is rolled 3 times. For each roll, we are interested in whether the roll comes up even or odd. An outcome is represented by a string of the sort oee (meaning an odd number on the first roll, an even number on the second roll, and an even number on the third roll). For each outcome, let N be the random variable counting the number of odd rolls in each outcome. For example, if the outcome is eeo, then = Neeo1. Suppose that the random variable X is defined in terms of N as follows: = X−6N−2N24. The values of X are given in the table below. Outcome eoe oee eeo oeo eee ooo ooe eoo Value of X 0 0 0 0 −4 −4 0 0 Calculate the probabilities P (X = x) of the probability distribution of X. First, fill in the first row with the values of X. Then fill in the appropriate probabilities in the second row. Value x of X P (X =x )
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