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(d) P(B/R) (e) P(RUE) (1) P(Y/E)

(d) P(B/R) (e) P(RUE) (1) P(Y/E)

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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ANSWER D, E, F 

# Jewelry Classification and Probability Analysis ## Description A total of 550 pieces of jewelry are classified by type and color: - **Types of Jewelry**: Necklace (N), Bracelet (B), Earrings (E) - **Colors**: White (W), Rose (R), Yellow (Y) ### Jewelry Distribution Table | Type of Jewelry | White (W) | Rose (R) | Yellow (Y) | Total | |-----------------|-----------|----------|------------|-------| | N: Necklace | 80 | 70 | 60 | 210 | | B: Bracelet | 20 | 40 | 55 | 115 | | E: Earrings | 30 | 95 | 100 | 225 | | **Total** | **130** | **205** | **215** | **550**| ## Probability Calculations One item is picked randomly. Calculate the following probabilities: (a) \( P(W) \) (b) \( P(B) \) (c) \( P(W \cap E) \) (d) \( P(B / R) \) (e) \( P(R \cup E) \) (f) \( P(Y' / E) \) (g) \( P(N') \) (h) \( P(W \cup R / E') \) ### Explanation: - \( P(W) \) is the probability of selecting a white piece of jewelry. - \( P(B) \) is the probability of selecting a bracelet. - \( P(W \cap E) \) is the probability of selecting a white pair of earrings. - \( P(B / R) \) is the probability of selecting a bracelet given it is rose gold. - \( P(R \cup E) \) is the probability of selecting either a rose gold item or earrings. - \( P(Y' / E) \) is the probability of selecting a non-yellow item given it is earrings. - \( P(N') \) is the probability of not selecting a necklace. - \( P(W \cup R / E') \) is the probability of selecting either a white or rose gold item given it is not earrings.
Transcribed Image Text:# Jewelry Classification and Probability Analysis ## Description A total of 550 pieces of jewelry are classified by type and color: - **Types of Jewelry**: Necklace (N), Bracelet (B), Earrings (E) - **Colors**: White (W), Rose (R), Yellow (Y) ### Jewelry Distribution Table | Type of Jewelry | White (W) | Rose (R) | Yellow (Y) | Total | |-----------------|-----------|----------|------------|-------| | N: Necklace | 80 | 70 | 60 | 210 | | B: Bracelet | 20 | 40 | 55 | 115 | | E: Earrings | 30 | 95 | 100 | 225 | | **Total** | **130** | **205** | **215** | **550**| ## Probability Calculations One item is picked randomly. Calculate the following probabilities: (a) \( P(W) \) (b) \( P(B) \) (c) \( P(W \cap E) \) (d) \( P(B / R) \) (e) \( P(R \cup E) \) (f) \( P(Y' / E) \) (g) \( P(N') \) (h) \( P(W \cup R / E') \) ### Explanation: - \( P(W) \) is the probability of selecting a white piece of jewelry. - \( P(B) \) is the probability of selecting a bracelet. - \( P(W \cap E) \) is the probability of selecting a white pair of earrings. - \( P(B / R) \) is the probability of selecting a bracelet given it is rose gold. - \( P(R \cup E) \) is the probability of selecting either a rose gold item or earrings. - \( P(Y' / E) \) is the probability of selecting a non-yellow item given it is earrings. - \( P(N') \) is the probability of not selecting a necklace. - \( P(W \cup R / E') \) is the probability of selecting either a white or rose gold item given it is not earrings.
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