Q:

PLEASE HELP!!! Blue whales eat an average of 5,000 pounds of fish daily, with a standard deviation of 850 pounds. Approximately what percentage of blue whales eat more than 5,850 pounds of fish?

Accepted Solution

A:
Answer:15.87% of blue whales eat more than 5,850 pounds of fishStep-by-step explanation:Mean = 5000Standard Deviation = 850We need to find P(x>5850) = ?We can find using z-scorez = x - mean/ standard deviationz = 5850 - 5000/850z = 850/850z = 1Now, P(x>5850) = P(z>1) Finding value of P(z>1) by looking at the z-score tableP(z>1) = 0.8413The normal distribution gives area to the left , so subtracting it from 1 to gain the answer1-0.8413 = 0.1587Now, to find percentage multiply it with 1000.1587 * 100 = 15.87 %15.87% of blue whales eat more than 5,850 pounds of fish