MTH 243- Statistics- Summer 17 Arsen Assani 7/11 Homework:Module 5 HW: Ch 14 & 1

Question

MTH 243- Statistics- Summer 17 Arsen Assani 7/11 Homework:Module 5 HW: Ch 14 & 15 Score: 0 of 1 pt Section 15.4 Exercise 8 1123 of25(12 complete), HW Score: 40 8%10 Question 1 n automatic tling machine in a fadory is bofiles of ketdhup with a mean of 141 o and a standard deviaion of 0.06 oz with a disthbution that can be wel modeled by a Normal model What is the probablity that a botte of ketchup conta han 14 r? The probabitytat a kethup bone contans less tar, 14 oz»D The probability that a ketchup bottle contains less than 14 oz s Round to three decimal places as needed)

Explanation / Answer

1)

mean = 14.1 , std.deviation = 0.06 , x = 14
P(X < 14)
z = ( x - mean) / s
= ( 14 - 14.1) / 0.06
= -1.67
P(X < 14) = P( z < -1.67) = 0.0478

2)

mean = 55 , std.deviation = 6 , x = 63
P(X >63)
z = ( x - mean) / s
= ( 63 - 55) / 6
= 1.33
P(X >63) = P( z < 1.33) = 0.0912

Related Questions

Navigate

• Browse (All)
• Browse M
• Subjects

---

---

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