Aphysical fitness association is including the mile run in its secondary-school fitness test. the time for this event for boys in secondary school is known to possess a normal distribution with a mean of 440 seconds and a standard deviation of 60 seconds. find the probability that a randomly selected boy in secondary school can run the mile in less than 302 seconds.

The probability that a randomly selected boy in secondary school can run the mile in less than 302 seconds is 0.0107

Step-by-step explanation:

Consider the provided information.

It is given that mean is 440 seconds and standard deviation is 60 seconds.  

z factor for less than 302 seconds would be:  

z = (302 - 440) / 60 = -2.3

The probability of getting a z factor of less than -2.3 = 0.0107 approximately.  

looking up in the z-table for a z factor of -2.3.

The probability of a student running the mile in less then 302 seconds would be 0.0107.

Hence, the probability that a randomly selected boy in secondary school can run the mile in less than 302 seconds is 0.0107

answer: evaluate the objective function at each vertex to determine which - and -values, if any, maximize or minimize the function. example: find the minimum value and maximum value of the objective function f ( x , y ) = 4 x + 5 y , subject to the following constraints