Question

Andy and Jim are going to compete in the 100-meter dash against each other. Let AAA be the time it takes Andy to complete the race, and J JJ be the time it takes Jim to complete the race. Based on previous results, they know that μ A = 11.5 μ A ​ =11.5mu, start subscript, A, end subscript, equals, 11, point, 5 seconds and σ A = 1 σ A ​ =1sigma, start subscript, A, end subscript, equals, 1 second. They also know that μ J = 10.5 μ J ​ =10.5mu, start subscript, J, end subscript, equals, 10, point, 5 seconds and σ J = 0.5 σ J ​ =0.5sigma, start subscript, J, end subscript, equals, 0, point, 5 seconds. Assume that their times are independent. Let D DD be the difference between their times in a random 100-meter dash ( D = A − J ) (D=A−J)left parenthesis, D, equals, A, minus, J, right parenthesis.

Answer 1

Answer:

1

Step-by-step explanation:

We subtract the mean times to find the mean of the difference:

μD = μA − μJ

= 11.5−10.5

=1

​

The answer:

μD = 1 second

Answer 2

Andy and Jim are going to compete in the 100-meter dash against each other:

We subtract the mean times to find the mean of the difference:

μA =11.5

μJ=10.5

• μD = μA − μJ
• μD= 11.5−10.5
• μD=1

The correct answer is μD = 1 second.

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