1. A professor gives bonus points for attendance using the following algorithm. A random number between 1-100000 is generated first. If thenumber is odd then a second number is generated within the same range and the bonus points equal the remainder of the division of the secondnumber by 5. If the first number is even there will be no bonus points.a. Find the density of X= bonus points for a single class day.b. What is the probability that in one day the bonus will exceed 3 points?2. If Y=X1+X2 where X; i=1,2, are the bonus points of class days 1 and 2 (use the previous problem statement to define the bonus) respectivelyfind the density function of Y. Give the probability that the total bonus for days 1 and 2 is no more than 1 point.

Part 1: Finding the Density of X (Bonus Points for a Single Class Day)The professor at Burrito King…

Answered: 1. A professor gives bonus points for…

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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In a three-digit lottery, each of the three digits is supposed to have the same probability of occurrence (counting initial blanks as zeros, e.g., 32 is treated as 032). The table shows the frequency of occurrence of each digit for 90 consecutive daily three-digit drawings. Digit 0 1 2 3 4 5 6 7 8 9 Total Frequency 22 27 26 29 30 25 33 29 20 29 270 picture Click here for the Excel Data File (a) Calculate the chi-square test statistic, degrees of freedom, and the p-value. (Perform a uniform goodness-of-fit test. Round your test statistic value to 2 decimal places and the p-value to 4 decimal places.) Test statistic Degrees of freedom p-value (b) Choose the correct answer by drawing a bar chart for the above data. O The graph will reveal that 8 occurs least frequently. O The graph will reveal that 9 occurs least frequently. O The graph will reveal that 6 occurs least frequently. O The graph will reveal that 7 occurs least frequently. (c) At a = .02, we cannot reject the hypothesis that…
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:
1. From a box containing five quarters and two dimes, three coins are selected at random without replacement. Find the probability distribution for the total T of the three coins.
From experience, an airline knows that only 70% of the passengers booked for a certain flight actually show up. If 8passengers are randomly selected, find the probability that fewer than 6 of them 6 show up.Carry your intermediate computations to at least four decimal places, and round your answer to two decimal places.
Let p be the population proportion of successes, where a success is an adult in the country who would travel into space on a commercial flight if they could afford it. State H0 and Ha. Select the correct choice below and fill in the answer boxes to complete your choice. (Round to two decimal places as needed.)
1.) A basket contains 11 red apples and 8 green apples. A sample of 5 apples is drawn. Find the probability that the sample contains the following, and give your answer as a reduced fraction. (a) All green apples (b) 2 green apples and 3 red apples (c) More red than green apples
Suppose that you randomly draw one card from a standard deck of 52 cards. After writing down which card was drawn, you place the card back in the deck, shuffle the deck, and draw another card. You repeat this process until you have drawn 20 cards in all. What is the probability of drawing at least 5 clubs? USE A CALCULATOR OR STATDISK TO ANSWER THIS QUESTION. P(least 5 clubs)= ENTER YOUR ANSWER TO 4 DECIMAL PLACES.
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A platter contains 48 doughnuts: 26 cake, 13 glazed, and nine jelly-filled. Suppose two doughnuts are randomly selected in succession without replacement. Find the probability (to 4 decimal places) of selecting two cake doughnuts. A. 0.0691 B. 0.2881 C. 0.2934 D. 0.5417

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