Let X be the number of scoring chances that result in goals for a football team during n scoringchances. During many games, the team scores on 20% of the chances.a) Explain why it might be reasonable (at least as an approximation) to assume that X isbinomially distributed in this situation. Do this by going through each of the points that mustbe met for us to use the binomial distribution, assess whether it is reasonable for them to bemet here and specify any additional assumptions we need to make.

Suppose a random variable x, defines that the number of scoring chances that result in goals for a…

Answered: Let X be the number of scoring chances…

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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Use the Central Limit Theorem to find the mean and standard error of the mean of the sampling distribution. Then sketch a graph of the sampling distribution. The mean price of photo printers on a website is $242 with a standard deviation of $55. Random samples of size 35 are drawn from this population and the mean of each sample is determined. The mean of the distribution of sample means is enter your response here. The standard deviation of the distribution of sample means is enter your response here. (Type an integer or decimal rounded to three decimal places as needed.) Sketch a graph of the sampling distribution. Choose the correct answer below. A. -3 0 3Mean price (in $) x A bell shaped curve is over a horizontal x overbar axis labeled Mean price (in dollars) from negative 3 to 3 in increments of 1 and is centered on 0. B. 239 242 245Mean price (in $) x A bell shaped curve is over…
Find the are below 13 for a N(15,5) distribution
None
Over at NAIA, you are observing the average length of flight delays (excluding flights that leave on time). Your notes for ten randomly chosen days are here: Day Ave. delay (hrs:min) 1 2:00 2 1:48 3 0:19 4 0:25 5 2:18 6 0:43 7 0:13 8 0:17 9 0:34 10 3:12 If the airport claims that the delays will be no more than an hour on average, check his claim by doing the following: (a) Write the null hypothesis. (b) Write the alternative hypothesis. (c) Formulate and calculate the test-statistic. Is it a one-tail or two-tailed test? Did the airport told you the truth at 95% confidence level? (d) Determine the confidence interval
A researcher recorded the number of shots made, X, out of 10 free throws by a sample of 1000 randomly selected college students. The table below is a probability distribution table representing the data collected. Calculate the mean and the standard deviation of the probability distribution using a TI-83, TI-83 Plus, or TI-84 graphing calculator. x P(x) 0 0.01 1 0.01 2 0.02 3 0.04 4 0.03 5 0.05 6 0.21 7 0.29 8 0.21 9 0.08 10 0.05
Solve #22 using applications of normal distribution
A researcher wanted to determine whether certain accidents were uniformly distributed over the days of the week. The data show the day of the week for n = 296 randomly selected accidents. Is there reason to believe that the accident occu with equal frequency with respect to the day of the week at the a = 0.05 level of significance? E Click the icon to view the table. Distribution of accidents Day of the Week Frequency Sunday Monday Tuesday Wednesday Thursday Friday Saturday o 39 37 31 40 39 51 59 Print Done Compute the expected counts for day of the week Day of the Week Observed Count Sunday Expected Count 39 Monday 37 Tuesday 31 Wednesday 40 Thursday 39 Friday 51 Saturday 59 (Round to two decimal places as needed.) ?) Question Viewer Enter your answer in the edit fields and then click Check Answer. Check Answer Clear All parts 3 remaining MacBook Air DD 12 80 888 F9 10 F7 FS F4 esc F2 F3 F1 & 2$ % de %3D @ # 7 8 1 3 4 Y Q W E R tab J K S D ns lock く .. .- つエ

The first pic is the question. Since some tutors have been solving the problems wrong recently (no judgment), I’ve added a sample question to solve problem.
Assume that a high school principal believes that high number of absences hinders the students' ability to perform on standardized tests. He randomly selects a sample of 9 students who had 5 or more absences in the school year. The average ACT Composite score for this sample is X = 19 with s = 4.9. ACT Composite scores are normally distributed with u = 21.0. Do the data support the claim that the high number of absences hinders the students' ability to perform on standardized tests, using a = .05? Please show the four-step hypothesis test. %3D
Find the m.g.f of uniform distribution and hence find its mean and variance.
The following data are given to you to find out whether the distribution is platykurtic: N- 100, Eα-15, Σα)= 97, Σα-33, Σα-253 and common factor (9) -3.
L. As a general rule of thumb, if the items selected for a sample are not replaced and the sample size is less than 5 percent of the population, the binomial distribution can be used to approximate the hypergeometric distribution, il. If the probability of success does not remain the same from trial to trial when sampling is done without replacement, the hypergeometric distribution should be applied. I. In the hypergeometric distribution the probability of a success is not the same on each trail. Multiple Choice (0.00, and (i) are all false statements. () and () are correct statements but not (0. 00 and (i) are correct statements but not ()

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