Jaqueline and Pedro are running a marathon. Jaqueline's time for finishing a marathon is uniformly distributed...

Jaqueline and Pedro are running a marathon. Jaqueline's time for finishing a marathon is uniformly distributed between 150 minutes and 180 minutes. Pedro's time for finishing a marathon is uniformly distributed between 160 and 190 minutes. Calculate the probability that Jaqueline beats Pedro to the finish line. Give answer as a decimal rounded to 4 places.

Solutions

Expert Solution

orchestra answered 1 year ago

Next > < Previous

Related Solutions

The amount of time runners take to run a marathon is believed to be uniformly distributed...

The amount of time runners take to run a marathon is believed to be uniformly distributed after running for four hours. The following is the observed number of runners and the length of time it takes to cross the finish line. Carry out the Chi Square Goodness of fit test. Hypothesis: Calculation: Find each expected count and find each chi square value, total value and pvalue. 4-4.5 hours 4.5-5 hours 5-5.5 hours 5.5-6 hours 6-6.5 hours 6.5 + hours Total...

The process time of a complex model of a supercomputer is uniformly distributed between 300 to...

The process time of a complex model of a supercomputer is uniformly distributed between 300 to 480 milliseconds (show formula used). a. Determine the probability density function. b. Compute the probability that the processing time will be less than or equal to 435 milliseconds. c. Determine the expected processing time.

The process time of a complex model of a supercomputer is uniformly distributed between 300 to...

Suppose the amount of time needed to change the oil in a car is uniformly distributed...

Suppose the amount of time needed to change the oil in a car is uniformly distributed between 14 minutes and 30 minutes, with a mean of 22 minutes and a standard deviation of 4.6 minutes. Let X represent the amount of time, in minutes, needed to complete a randomly selected oil change. What is the probability that a randomly selected oil change takes at most 20 minutes to complete? Assuming a randomly selected oil change has already taken 18 minutes...

Journalize all entries required for Marathon Running Shoes.

Question Journalizing credit card sales 2018 Sep. 1 Recorded National Express credit card sales for $96,000, net of processor fee of 1%. Ignore Cost of Goods Sold. 15 Recorded ValueMax credit card sales of $80,000. Processor charges a 1.5% fee. ValueMax charges the fee at the end of the month, therefore Marathon uses the gross method for these credit card sales. Ignore Cost of Goods Sold. 30 ValueMax collected the fees for the month of September. Assume the September...

The time to fly between New York City and Chicago is uniformly distributed with a minimum...

The time to fly between New York City and Chicago is uniformly distributed with a minimum of 120 minutes and a maximum of 150 minutes. a) What is the distribution's mean? (2) b) What is the distribution's standard deviation? (2) c) What is the probability that a flight is less than 135 minutes? (3) d) What is the probability that a flight is more than 140 minutes?

The time T (in minutes) required to perform a certain job is uniformly distributed over the...

The time T (in minutes) required to perform a certain job is uniformly distributed over the interval [15; 60], which means that T is equally likely to take on any value in [15; 60] while it is impossible to take on any value outside that interval. 1 MATH 32 Worksheet 05: Chapter 5 Fall 2018 (a) Write down the probability mass function of T. (b) Find the probability that the job requires more than 30 minutes. (c) Given that the...

The time to fly between New York City and Chicago is uniformly distributed with a minimum...

The time to fly between New York City and Chicago is uniformly distributed with a minimum of 120 minutes and a maximum of 150 minutes. Respond to the following questions: What is the probability that a flight takes time less than 135 minutes? * a-P(X<135)=0 b-P(x<135) = 0.5 c-P(X<135)=0.135 d-P(X<135)=0.15 The mean flying time and the standard deviation are: * a-Mean=135; Standard-deviation=8.66 minutes. b-Mean=135; Standard-deviation=75 minutes. c-Mean=8.66; Standard-deviation=75 minutes d-Mean=8.66; Standard-deviation=135 minutes What is the probability that a flight takes...

The marathon is a 26.2-mile-long, endurance running race. Successful marathon runners will benefit from having leg...

The marathon is a 26.2-mile-long, endurance running race. Successful marathon runners will benefit from having leg muscles with __________. i. fibers with a high concentration of myoglobin ii. fibers depending on glycolysis for generation of ATP iii. fibers with relatively low mitochondria content a. None of the above are correct b. Exactly ONE of the above is correct c. Exactly TWO of the above are correct d. All of the above are correct. Which of the following is a correct...

The driving time for an individual from his home to his work is uniformly distributed between...

The driving time for an individual from his home to his work is uniformly distributed between 300 to 540 seconds. a. Determine the first line of the probability density function. b. What is the probability that the driving time will be less than or equal to 405 seconds? c. What is the expected driving time? d. What is the variance for this distribution? e. What is the standard deviation for this distribution?

Subjects