The vending machine in the school cafeteria usually dispenses about 6 ounces of soft drink. Lately, it is not working properly, and the variability of how much soft drink it dispenses has been getting greater. The amounts are normally distributed with a standard deviation of 0.2 ounce.

What percent of the time will you get less than 6 ounces of drink?

a.

13.5%

c.

50%

b.

34%

d.

95%

Question

America Montes

Mathematics

30 July, 08:07

The vending machine in the school cafeteria usually dispenses about 6 ounces of soft drink. Lately, it is not working properly, and the variability of how much soft drink it dispenses has been getting greater. The amounts are normally distributed with a standard deviation of 0.2 ounce.

What percent of the time will you get less than 6 ounces of drink?

a.

13.5%

c.

50%

b.

34%

d.

95%

+1

Answers (1)

Know the Answer?

August Cain · Answer 1

The depiction of the distribution is a bell-shaped distribution where the axis of symmetry lies on the mean. The mean is 6 ounces. In this case, the distribution to the left and right of the mean are equal. That is the probability of getting above and below 6 ounces is the same. Hence, the answer to this problem is C. 50%.