The average time to run the 5K fun run is 24 mınutes and the standard deviation is 2.2 minutes. 40 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( 24 2.2 b. What is the distribution of r? -N( 24 0.3479 c. What is the distribution of -? > ¤ - N(960 13.910 d. If one randomly selected runner is tımed, find the probability that this runner's time will be between 23.5781 and 23.9781 minutes. 0.0722 e. For the 40 runners, find the probability that their average time is between 23.5781 and 23 9781 minutes. 0,3623 f. Find the probability that the randomly selected 40 person team will have a total time more than 964. 0.3868 g. For part e) and f), is the assumption of normal necessary? No Yes h. The top 10%% of all 40 person team relay races will compete in the championship round. These are the 10% lowest times. What is the longest total time that a relav team can have and still make it to the championship round? minutes
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.
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