Statistics Homework Solutions 82

Statistics Homework Solutions 82 - 82 CHAPTER 4(b Yes If...

Info iconThis preview shows page 1. Sign up to view the full content.

View Full Document Right Arrow Icon
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: 82 CHAPTER 4 (b) Yes. If the mean concentration is 7 particles per mL, then only about 7 in every thousand 1 mL samples will contain 1 or fewer particles. (c) Yes, because 1 particle in a 1 mL sample is an unusually small number if the mean concentration is 7 particles per mL. ∑6 x ¡¥ x 0e 0P X 77 x x! ∑6 x 0 4497 ¡ ¡ ¤ ¡¥ 6 ¨ (d) P X ¤ ¨ (e) No. If the mean concentration is 7 particles per mL, then about 45% of all 1 mL samples will contain 6 or fewer particles. (f) No, because 6 particles in a 1 mL sample is not an unusually small number if the mean concentration is 7 particles per mL. Let X be the number of flaws in a one-square-meter sheet of aluminum. Let λ be the mean number of flaws per square meter. Then X Poisson λ . ¥ ¤ 21. Let p be the probability that a one-square-meter sheet of aluminum has exactly one flaw. 1 λ λe ¡ 1! ¡ λλ . From Example 4.27, λ ¡ e 2, and σλ 2 ¢ ¡¥ 1 ¡ PX 0 02. ¨ ¡ ¤ Then p ¡ ¢ Therefore p is estimated with p λe λ 2e 2 dp e λ λe λ e 2 2e 2 0 135335 dλ dp σp σλ 0 135335 0 02 0 019 dλ p 0 271 0 019 ¡ ¡ 0 271. ¨ ¡ ¡ ¡ ¡ ¢ ¢ ¡ ¨ ¡ ¡ ¡ ¡ ¡ ¡ ¡ ¡ ¢ ¨ ¡ ¨ ¨ ¤ ¢ ¡ ¡ ¡ ¨ ¨ ¡ Section 4.4 ¡ ¡ 0 4196 ¨ ¡ ¡ ¡ ¡ ¡¥ 2 15 5 62 15 6 ¤ ¡ PX 5 2 H 15 5 6 .  Let X be the number of cars with serious problems among the five chosen. Then X ¥ ¤ 1. ...
View Full Document

Ask a homework question - tutors are online