ABP(x)0.2781230.576420.114530.028640.003750.00181011 (a) Verify that this is a discrete probability distribution.This is a discrete probability distribution becausebetweenand,inclusive, and theof theprobabilities is |

Answered: (a) Verify that this is a discrete…

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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Here's a discrete probability experiment: a college instructor keeps track of the number of students who come in during her office hours. In the table, x is the number of students who visit her during her office hours, and P(x) is the associated probability. P(x) 0.25 0.15 0.25 0.35 (a) Find the probability that at least one student comes in during office hours. (b) Find the probability that NO students come. (c) What word do we use to denote the relationship of the events described in (a) and (b)? O skewed O complements O correlated O independent (d) What's the average number of students the instructor can expect to come in during office hours? Don't round your answer. students, on average
Let x be the number of courses for which a randomly selected student at a certain university is registered. The probability distribution of x appears in the table shown below: x 1 2 3 4 5 6 7 p(x) .02 .05 .09 .26 .40 .14 .04 (a) What is P(x = 4)?P(x = 4) = (b) What is P(x ≤ 4)?P(x ≤ 4) = (c) What is the probability that the selected student is taking at most five courses?P(at most 5 courses) = (d) What is the probability that the selected student is taking at least five courses? more than five courses?P(at least 5 courses) = P(more than 5 courses) = (e) Calculate P(3 ≤ x ≤ 6) and P(3 < x < 6).P(3 ≤ x ≤ 6) = P(3 < x < 6) =
During a Kansas tornado season, the probability a local grocery store experiences power outage on any workday is 0.125. Calculate the probability that during a regular work week (Monday-Friday) the store experiences power outage (a) On both Tuesday and Friday
This question is similar to Exercise 7 on page 227 and Exercises 15 and 16 on page 231 of your textbook. Consider the following discrete probability distribution. X P(x) 1 0.1 2 0.4 3 0.3 5 0.1 8 0.1
In the probability distribution to the right, the random variable X represents the number of hits a baseball player obtained in a game over the course of a season. Complete parts (a) through (f) below. (a) Verify that this is a discrete probability distribution. This is a discrete probability distribution because and the of the probabilities is (Type whole numbers. Use ascending order.) between and X102 3 4 5 P(x) 0.1674 0.3358 0.2843 0.1503 0.0385 0.0237 inclusive,
Let y denote the number of broken eggs in a randomly selected carton of one dozen eggs. Suppose that the probability distribution of y is as follows. y 0 1 2 3 4 p(y) 0.63 0.21 0.11 0.03 ? (a) Only y values of 0, 1, 2, 3, and 4 have positive probabilities. What is p(4)? (Hint: Consider the properties of a discrete probability distribution.) p(4) = (b) How would you interpret p(1) = 0.21? In the long run, the proportion that will have at most one broken egg will equal 0.21.In the long run, the proportion of cartons that have exactly one broken egg will equal 0.21. The probability of one randomly chosen carton having broken eggs in it is 0.21.The proportion of eggs that will be broken in each carton from this population is 0.21. (c) Calculate P(y ≤ 2), the probability that the carton contains at most two broken eggs. P(y ≤ 2) = Interpret this probability. The probability of two randomly chosen cartons having broken eggs in them is this probability.In the…
Calculate the mean for the discrete probability distribution
Let X = {Email, In Person, Instant Message, Text Message}; P(Email) = 0.06 P(In Person) = 0.55 P(Instant Message) = 0.24 P(Text Message) = 0.15 Is this model a probability distribution? A. Yes. B. No. C. Maybe.
Which of the following tables represents a valid discrete probability distribution? X P(X=x) X P(X=X) X P(X=x) X P(X=x) 5 0.51 1 0.23 0 10 15 0.03 0.03 3 0.03 1 0.33 0.15 3 0.24 5 0.15 2 0.27 20 0.39 7 9 0.17 0.19 3 0.19 25 30 0.15 0.01 12 11 0.02 4 5 1.01 0.06 6 9 15 18 0.22 0.23 0.12 -0.03 0.43
Daily sales records for a computer manufacturing firm show that it will sell 0, 1, or 2 mainframe computer systems with probabilities as listed Number of Sales 0 1 2 Probability 0.7 0.2 0.1 a. Find the probability distribution for X, the number of sales in a two-day period, assuming that sales are independent from day to day. b. Find the probability that at least one sale is made in the two-day period.
number 13 a
Bob and Lygia are going to play a series of Trivial Pursuit games. The first person to win four games will be declared the winner. Suppose that outcomes of successive games are independent and that the probability of Lygia winning any particular game is 0.6. Let y be the number of games won by the series loser. Determine the probability distribution of y. Y P(Y) 0 1 2 3

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(a) Verify that this is a discrete probability distribution. This is a discrete probability distribution because between and inclusive, and the of the probabilities is