A firm that manufactures and bottles apple juice has a machine that automaticall

Question

A firm that manufactures and bottles apple juice has a machine that automatically fills bottles with 16 ounces of juice. (The bottle can hold up to 17 ounces.) Over a long period, the average amount dispensed into the bottle has been 16 ounces. However, there is variability in how much juice is put in each bottle; the distribution of the amounts has a standard deviation of 1 ounce. If the ounces of fill per bottle can be assumed to be normally distributed, find the probability that the machine will over flow any one bottle. 3.

Explanation / Answer

P(Machine will overflow any one bottle)

= P(X > 17)

= P(z > (17 - 16)/1)

= P(z > 1)

= 0.1587

Related Questions

Navigate

• Browse (All)
• Browse A
• Subjects

---

---

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.