School days: The following table presents the numbers of students enrolled in grades 1 through 8 in public schools in a certain country. Part: 0 / 5 Part 1 of 5 X Grade Source: Statistical Abstract of the United States P(x) 1 2 1 3 4 Consider these students to be a population. Let X be the grade of a student randomly chosen from this population. 5 6 7 8 Total 2 Send data to Excel (a) Construct the probability distribution of X. Round the answers to three decimal places. Frequency (in 1000s) 3775 3602 3612 3587 3638 3690 3751 3790 29,445 3 4 5 6 7 8 X

The distribution of Bachelor's degrees conferred by university is listed in the table.  Assume that a student majors in only one subject.  What is the probability that a randomly selected student with a Bachelor's degree majored in Physics or Philosophy?  Round your answer to three decimal places. Major Frequency Physics 227 Philosophy 202 Engineering 86 Business 176 Chemistry 222 Group of answer choices 0.470 0.221 0.249 0.530

A and B are events. Use the following data to answer the following questions.  P(A)=0.60 P(B)=0.40 P(B/A)=0.40 P(AC) P(A AND B) P(A OR B)

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?

1. Use this table for the following questions:                        Female      Male         TotalShort Hair       20              40             60 Long Hair        30              10             40 Total                50              50             100 a. Complete a total probability table.b. Complete a row probability tablec. Complete a column probability table.d. The probability that a student does not have long hair. _________e. The probability that a student is male or has short hair. ________f. The probability that a student is a female and has long hair. _________g. The probability that a student is male, given that the student has long hair. _________h. The probability that a student has long hair, given that the student is male. _________i. Of all the female students, the probability that a student has short hair. ________j. Of all students with long hair, the probability that a student is female. _________k. The probability that a student is female or has long hair.…

8: Answer this question

Relax! A recent survey asked  1682  people how many hours per day they were able to relax. The results are presented in the following table. Number of Hours Frequency 0 113 1 184 2 336 3 251 4 318 5 234 6 151 7 35 8 60 Total 1682 Send data to Excel Consider these 1682 people to be a population. Let  X  be the number of hours of relaxation for a person sampled at random from this population.   Part 1 of 5     (a) Construct the probability distribution of  X . Round the answer to three decimal places. x 0 1 2 3 4 5 6 7 8 P ( x )                         Part 2 of 5     (b) Find the probability that a person relaxes more than  4  hours per day. The probability that a person relaxes more than  4  hours per day is…

Hospital visits: According to a health agency, there were 409,689 hosital visits for asthma-related illnesses in a recent year. The age distribution was as follows. Round your answers to four decimal places if necessary. Age Range Less than 1 year 1-17 18-44 45-64 65-84 85 and up Total Send data to Excel Part 1 of 3 (a) What is the probability that an asthma patient is between 18 and 44 years old? The probability that an asthma patient is between 18 and 44 years old is 0.1944 Part 2 of 3 (b) What is the probability than an asthma patient is less than 1 year old? The probability that an asthma patient is less than 1 year old is 0.0192 Part: 2/3 Number 7862 103,032 79,653 121,731 80,658 16,753 409,689 Part 3 of 3 (c) Using a cutoff of 0.05, is it unusual for an asthma patient to be 85 years old or older? Based on a cutoff of 0.05, it (Choose one) unusual for an asthma patient to be 85 years old or older. is is not X

Emergency Room Tests The frequency distribution shows the number of medical tests conducted on 30 randomly selected emergency room patients. Number of tests Number of performed patients 13 1 9 4 3 2 4 or more Send data to Excel Choose a patient at random. Find the following probabilities. Enter your answers as fractions or decimals rounded to 3 decimal places. Part: 0 / 5 Part 1 of 5 The probability that the patient had exactly 2 tests done is