The average time to run the 5K fun run is 22 minutes and the standard deviation is 2.3 minutes. 17 runners are randomly selected to run the 5K fun run. Round all answers to 4 decimal places where possible and assume a normal distribution. a. What is the distribution of X? X- N( 22 V. 2.3 b. What is the distribution of ? -N( 22 V, 0.5578 c. What is the distribution of x? ) x - N( 374 V, 9.4831 ) o d. If one randomly selected runner is timed, find the probability that this runner's time will be between 21.5633 and 21.9633 minutes. 0.0713 e. For the 17 runners, find the probability that their average time is between 21.5633 and 21.9633 minutes. .0199 f. Find the probability that the randomly selected 17 person team will have a total time more than 363.8. 0.1401 g. For part e) and f), is the assumption of normal necessary? O YesO No h. The top 15% of all 17 person team relay races will compete in the championship round. These are the 15% lowest times. What is the longest total time that a relay team can have and still make it to the championship round? minutes

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Unitary Method

The word “unitary” comes from the word “unit”, which means a single and complete entity. In this method, we find the value of a unit product from the given number of products, and then we solve for the other number of products. 

Speed, Time, and Distance

Imagine you and 3 of your friends are planning to go to the playground at 6 in the evening. Your house is one mile away from the playground and one of your friends named Jim must start at 5 pm to reach the playground by walk. The other two friends are 3 miles away.

Profit and Loss

The amount earned or lost on the sale of one or more items is referred to as the profit or loss on that item.

Units and Measurements

Measurements and comparisons are the foundation of science and engineering. We, therefore, need rules that tell us how things are measured and compared. For these measurements and comparisons, we perform certain experiments, and we will need the experiments to set up the devices.