According to the 2023 study on commute times in the U.S., 20% of U.S. workers commute at least 30 minutes to work. Suppose you were to take a random sample of 10 U.S. workers Use a binomial distribution to solve this problem.    Find the probability as a decimal that either 1 or 3 U.S. workers from your sample commute at least 30 minutes to work. (Type your answer as a decimal rounded to 3 decimal places. So if you thought the answer was 0.12345 then you would type in 0.123)

A High School Athletics Participation Survey was conducted by the National Federation of State High School Associations in conjunction with NCAA. As part of the survey, data was collected on the number of high school athletes that compete in various sports, as well as how many of those individuals went on to compete in those same sports at the Division I, Division II, or Division III level.  In the table below we can see the data collected for 5 unique sports and how many individuals competed in each one at the various Division levels in college (163,047 total in table). We will assume for this problem that none of the student athletes included in the table below competed in more than one of the sports listed, and that they each competed in a single Division at the collegiate level.    College Athletes by Division College Sports Division I Division II  Division III Women’s Track & Field 12926 7181 8617 Men’s Soccer 5623 6489 12112 Women’s Basketball 5154 4725 6872 Men’s Football 28174 19505 26007 Women’s Softball 6190 5826 7646   Calculate the probability that a randomly selected student-athlete from this group is on a Women’s Track & Field team or is a Division II athlete. (Please type in your answer as an unsimplified fraction. So if you thought the answer was 80/100, you would type in your answer as 80/100)

In 2023, a study was conducted looking at the number of fans in attendance across the major sports. It found that the NFL had an average attendance at its games of 69,500 people. Assume this data is normally distributed and the true standard deviation is 16,250.    Find the probability as a decimal that a randomly selected NFL game from 2023 had an attendance of at most 52,000 people or at least 61,000 people.  (Type your answer as a decimal rounded to 3 decimal places. So if you thought the answer was 0.12345 then you would type in 0.123)

In a small bag of Skittles there are typically 20 skittles in each bag. There are a total of 5 colors that the skittles can be: red, orange, purple, yellow, and green. Suppose you have a bag with 5 red, 3 orange, 6 purple, 2 green, and 4 yellow.    Find the probability as a decimal that you random select a skittle from the bag and it is either red or yellow. (Write your answer as a decimal rounded to 2 decimal places. So if you thought the answer was 0.12345 then you would write 0.12 as your answer.)

A football player presents after another athlete lands on his plantar-flexed foot. Foot radiographs reveal a small bony fragment adjacent to the base of the second metatarsal. Alignment otherwise appears nearly normal. What is the most appropriate interpretation?

An APRN elects to perform a transthecal digital nerve block instead of the traditional bilateral digital block for repair of a finger laceration.

A 30-year-old man is brought to the emergency department after a motor vehicle collision. He develops acute respiratory distress, hypotension, tachycardia, and absent breath sounds over the right hemithorax. The chest radiograph is shown below. Which of the following radiographic findings is most consistent with the diagnosis?

A parent presents with a tick attached to their child’s scalp after hiking earlier in the day. Which technique represents the recommended method of removal?

A chest radiograph demonstrates free air beneath the right hemidiaphragm in a patient with sudden severe abdominal pain. Which diagnosis should be suspected?

A 3-year-old child presents to the clinic with a fever, inspiratory stridor, hoarseness, and a harsh “barky” cough. A frontal neck radiograph demonstrates symmetric tapering of the upper trachea. Which radiographic finding is most consistent with this patient’s diagnosis?