The following data represent the number of games played in each series of an annual tournament from 1923 to 2018. Complete parts (a) through (d) below.The table below shows the frequency of games played:| x (games played) | Frequency ||------------------|-----------|| 4 | 17 || 5 | 21 || 6 | 21 || 7 | 36 |(a) Construct a discrete probability distribution for the random variable X.The format for the probability distribution is shown below:| x (games played) | P(x) ||------------------|-----------|| 4 | || 5 | || 6 | || 7 | |(Round to four decimal places as needed.)**Instructions for students:**To complete the discrete probability distribution, calculate the probability for each value of x by dividing the frequency of each value by the total frequency. Make sure to round your answers to four decimal places.

We have to find the relative frequency for each event. The relative frequency of a event is the…

Answered: The following data represent the number…

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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The data given below show the number of overtime hours worked in one week per employee. Use the data to complete parts (a) and (b). Overtime hours 1 3 4 Employees 12 28 57 43 27 15 (a) Construct a probability distribution. (b) Graph the probability distribution using a histogram and describe its shape. ..... (a) Construct the probability distribution by completing the table below. 1 2 3 4 6 P(x) (Round to three decimal places as needed.) (b) Choose the correct graph of the probability distribution. O A. OB. OC. O D. 0.4- 0.4- 0.4- 0.4- 0.3- 0.3- 0.3- 0.3- 0.2- 0.2- 0.1- 0.2- 0.2- 0.1- 0.1- 0.1- 0- ó123456 0- 012345 6 6 1 23 4 5 6 o123456 Overtime Hours Overtime Hours Overtime Hours Overtime Hours Describe the distribution's shape. Choose the correct answer below. uniform skewed left approximately symmetric (but not uniform) skewed right Probability O O 0 O Probability Probability Probability
K The data on the right represent the number of live multiple-delivery births (three or more babies) in a particular year for women 15 to 54 years old. Use the data to complete parts (a) through (d) below. Age 15-19 20-24 25-29 30-34 35-39 40-44 45-54 Number of Multiple Births (a) Determine the probability that a randomly selected multiple birth for women 15-54 years old involved a mother 30 to 39 years old. P(30 to 39)= (Type an integer or decimal rounded to three decimal places as needed.) (b) Determine the probability that a randomly selected multiple birth for women 15-54 years old involved a mother who was not 30 to 39 years old. P(not 30 to 39) = 90 510 1622 2838 1845 373 119
The following data represent the number of games played in each series of an annual tournament from 1933 to 2003. Complete parts (a) through (d) below. x (games played) Frequency 4 6 7 19 11 16 24 (Round to four decimal places as needed.) (b) Graph the discrete probability distribution. Choose the correct graph below. O A. OB. O B. Oc. D. AP(X) 0.5- AP(x) 0.5- AP(x) 0.5- Q AP(x) 0.5- APIX) 6. 4 5 6 7 5 6 7. 4 4 5 6 (c) Compute and interpret the mean of the random variable x. Hy = 5.6430 games (Round to four decimal places as needed.) Interpret the mean of the random variable x. O A. The series, if played many times, would be expected to last about 4.4 games, on average. B. The series, if played many times, would be expected to last about 5.6 games, on average. C. The series, if played one time, would be expected to last about 5.6 games. (d) Compute the standard deviation of the random variable x. o, = games (Round to one decimal place as needed.)
High school students in Michigan sometimes get "snow days" in the winter when the roads are so bad that school is canceled for the day. Define the random variableX = the number of snow days at a certain high school in Michigan for a randomly selected school year. Suppose the table below gives the probability distribution of X. 1. Value x, 1. 3 4 5 6 7 8 9 10 Probability p, ? 0.19 0.14 0.10 0.07 0.05 0.04 0.04 0.02 0.01 0.01 (a) Write the event “the school year has O snow days" in terms of X. Then find its probability. (b) At this high school, if more than 5 snow days are used over the course of the year, students are required to make up the time at the end of the school year. What's the probability that a randomly selected school year will require make-up days?
Mara Jade is analyzing the fire damage losses in her insurance firm that occurred over a one-year period, based on the following data: Number of Claims Filed Number of Houses Total Number of Claims 0 9,555 0 1 160 160 2 20 40 Fill in the table and calculate the average frequency of loss. Use the information in the table to estimate a probability distribution for the frequency distribution of losses.
In the following probability distribution, the random variable x represents the number of activities a parent of a K to 5th-grade student is involved in. Complete parts (a) through (f) below.
The following are the number of cars sold per day at ABC Motor corporation during the past 500 working days. Number of cars sold per day, x 0 35 1 100 2 142 3 71 4 36 5 32 6 26 7 18 8 16 9 14 10 8 11 2 Total 500 What is the probability that at least two but fewer than ten cars will be sold in a day? (input answer in 4 decimal places) type your answer... Frequency of outcomes
Assume that 12 jurors are randomly selected from a population in which 60% of the people are Mexican-Americans. Refer to the probability distribution table below and find the indicated probabilities. Number of Mexican-Americans Probability 0 0 1 0.0003 2 0.0025 3 0.0125 4 0.042 5 0.1009 6 0.1766 7 0.227 8 0.2128 9 0.1419 10 0.0639 11 0.0174 12 0.0022 a) Find the probability of at most 4 Mexican-Americans among 12 jurors. Give answer as a decimal. b) Find the probability of more than 4 Mexican-Americans among 12 jurors. Give answer as a decimal.
Discrete Probability Distributions Worksheet 1. You flip four coins. Let X, the random variable, be the number of heads on all four coins. a. List the sample space for the experiment. b. What are the possible values for x? c. Is the random variable, x, continuous or discrete? d. Construct a probability distribution for this experiment. (X) e. Construct a histogram for the probability distribution in the space below. 2. Determine if the following are probability distributions (if no, state why). а. X 6. P(X) 4/9 12 15 3. 6. 1 2 3 4 5 P(X) 3/10 1/10 1/10 2/10 3/10 20 30 40 50 1.1 0.2 0.9 0.3 (X)
The following table represents the probability of the number of cars owned by a college student. Give your answer to at least 3 decimal places.
Please answer the question in the photo. TY!

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