To introduce her class to binomial distributions, Mrs. Desai gives a 10-item, multiple-choice quiz. The catch is, students must simply guess an answer (A through E) for eachquestion. Mrs. Desai uses her computer's random number generator to produce the an-swer key, so that each possible answer has an equal chance to be chosen. Patti is one of thestudents in this class. Let X = the number of Patti's correct guesses.1. Show that X is a binomial random variable.2. Find P(X = 3). Explain what this result means.3. To get a passing score on the quiz, a student must guess correctly at least 6 times.Would you be surprised if Patti carned a passing score? Compute an appropriateprobability to support your answer.

Answered: Image /qna-images/answer/90c11838-041f-47e3-a171-24d07d07e194.jpg

Answered: To introduce her class to binomial…

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 employee at the metropolitan museum of art surveyed a random sample of 150 visitors to the museum of those visitors 45 people bought food at the cafeteria based on those results how many people out of 1750 visitors to the museum would be expected to buy food from the cafeteria?
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Basketball players can take shots worth 3 points, 2 points, or 1 point. A scout is assessing two players- Tabitha and Lauren-who play for different teams in different leagues. The scout wonders if they have similar or different shot selections. They take a random sample of Tabitha's games and a separate random sample of Lauren's games. They tally how many of each type of shot the players attempted in those games. Here is a summary and the results of a chi-square test: Chi-square test: Shot vs. player Tabitha Lauren 3-point 8 12 Expected 10.34 9.66 2-point 40 37 Expected 39.83 37.17 1-point 12 Expected 9.83 9.17 x² = 2.097, DF = 2, P-value = 0.350 %3D Assume that all conditions for inference were met. At the a = 0.05 significance level, what is the most appropriate conclusion to draw from this test? Choose 1 answer: This is convincing evidence that the distribution of shot type differs between Tabitha and Lauren.
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:
As part of a statistics project, a teacher brings a bag of marbles containing 700 white marbles and 300 red marbles. She asks her students to determine how many red marbles are in the bag without counting them.A student randomly draws 100 marbles from the bag. Of the 100 marbles, 33 are red.The target population consists of The 100 marbles drawn by the student The 1000 marbles in the bag None of the above The 33 red marbles drawn by the student The 300 red marbles in the bag The sample consists of The 1000 marbles in the bag The 100 marbles drawn by the student The 33 red marbles drawn by the student None of the above The 300 red marbles in the bag Based on the sample, the student would estimate that ------ marbles in the bag were red.
A recent poll indicates that 48% of all registered voters in America plan to vote for a specific candidate in the upcoming presidential election. Suppose a random sample of 20 Americans is taken. Let X represent the sample count who plan to vote for the candidate. What is P(X≠5)?
Suppose that you roll several ordinary six-sided dice, choose two of those dice at random, and average the two numbers. Suppose the average of these two dice is 3.5. How would you express the 3.5 in statistical notation?
Itranscript One male and one female dam rat pup were randomly selected from 8 litters to perform the swim maze. Each pup was placed in the water at one end of the maze and allowed to swim until it escaped at the opposite end. If the pup failed to escape after a certain period of time, it was placed at the beginning of the maze and given another chance. The experiment was repeated until each pup accomplished three successful escapes. The table to the right reports the number of swims required by each pup. Is there sufficient evidence of a difference between the mean number of swims required by male and female pups? Use a=0.01. Comment on the assumptions required for the test to be valid. B. t> Litter 1 2 3 OC. t 10 12 Female 11 [6526675 10
Zee TV believes that its viewership is 29%. Random sample of 600 TV is taken. Out of these, only 150 observed zee TV programs. Do you support the belief of Zee TV. Take α= 5%
Fortune publishes data on sales, profits, assets, stockholders' equity, market value, and earnings per share for the 500 largest U.S. industrial corporations every year. Assume that you want to select a simple random sample of 10 corporations from the Fortune 500 list. Use the last three digits in column 10 of the table of random numbers, beginning with 945. Read down the column and identify the numbers of the 10 corporations that would be selected. (Enter your answers as a comma-separated list.)
If there are 65 successes of 150 trials in the one group, and 115 successes of 200 in another, test if the groups significantly different? Use ? = 0.05.
A box contains three red marbles and four green marbles. JB picks two marbles at random from this box. Let x be the number of red marbles selected. What is P(x = 1 or 2)?

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