The winner of a weight-lifting competition bench-pressed 400 pounds. all other competitors bench-pressed at least 23 pounds less. write an inequality that represents the weights x (in pounds) that the other competitors bench-pressed.

Step-by-step explanation:

Let

x -----> the weights (in pounds) that the other competitors bench-pressed

Since the other competitors bench-pressed at least 23 pounds less than 400 pounds

That means ---> The maximum weight that other competitors could bench press was (400-23)=377 pounds

therefore

The inequality for this problem should be

The correct answer is option 'a' : 120 is more than 2.5 standard deviations above the expected value.

Step-by-step explanation:

For an exponential distribution we have

The expected value μ = 80

No of trails n = 200

Thus we have

The deviation is related to expected value and probability as

Thus the values between the given deviation is

Now since 120 successes are out of the range of [62.75,97.25] thus 120 is more than the expected value.