1. Last fiscal year, the average number of defective televisions produced by a f

Question

1. Last fiscal year, the average number of defective televisions produced by a factory each day was 17.6, with a standard deviation of 5.2. For the first ten days of this fiscal year, the number of defective televisions produced is shown in the following table: Day 2 3 45 6 7 89 10 Defective Televisions 19 15 13 16 24 29 34 25 20 10 a) Make a control chart for the daily number of defective televisions produced b) Do the data indicate that the production is "in control?" Explain your answer 2. If Z has a standard normal distribution, then a) P(Z 2 1.22) b) P(-1.22S Z s 2.22) c) If P(-ks Zsk) 80, then find k 3. If X has a normal distribution with ?-52 and ?-2, then a) P(51s x 53)= b) (8 pts) If P(X sa) 90, then finda

Explanation / Answer

2. P(Z > 1.22) = 0.11123
b) P(-1.22 < Z < 1.22) = P(Z < 1.22) - P(Z < -1.22) = 0.88877 - 0.11123 = 0.77754
c) P(-k <Z<k ) = 0.80
Here K = 1.282

3.
a) P(51<X<53) = P( (51-52)/2 < Z < (53-52)/2) = P(-0.5 <Z<0.5) = P(Z < 0.5) - P(Z<-0.5) = 0.69146 - 0.30854 = 0.38292

b) P(Z < = a) = 0.90
where a = 52 + 1.282 * 2 = 54.564

Related Questions

Navigate

• Browse (All)
• Browse 1
• Subjects

---

---

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