Question 2: A lighting fixtures store sells four brand of LED lighting bulbs which are typically available in one of two main color temperatures; warm white (WW) and cool white (CW). The lamps are placed in four boxes named A, B, C, and D. Each box includes 30 bulbs. The number of warm white (WW) color temperature lambs in each box are given as 12, 18, 24, and 12 respectively. Long terms statistics of this store shows that the probabilities of brand selection are P(A)=0.25, P(B)=0.30, P(C)=0.25, and P(D)=0.20 respectively. Let consider that a customer bough a bulb. a) What is probability that the color temperature of lamp is warm white? b) What is probability that the lamp emits light that the color temperature is cool white? c) If the bulb is warm white, what is the probability box B was selected?

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
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Chapter2: Systems Of Linear Equations
Section2.4: Applications
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Question 2:
A lighting fixtures store sells four brand of LED lighting bulbs which are typically available in one of
two main color temperatures; warm white (WW) and cool white (CW). The lamps are placed in four
boxes named A, B, C, and D. Each box includes 30 bulbs. The number of warm white (WW) color
temperature lambs in each box are given as 12, 18, 24, and 12 respectively. Long terms statistics of
this store shows that the probabilities of brand selection are P(A)=0.25, P(B)=0.30, P(C)=0.25, and
P(D)=0.20 respectively. Let consider that a customer bough a bulb.
a) What is probability that the color temperature of lamp is warm white?
b) What is probability that the lamp emits light that the color temperature is cool white?
c) If the bulb is warm white, what is the probability box B was selected?
Transcribed Image Text:Question 2: A lighting fixtures store sells four brand of LED lighting bulbs which are typically available in one of two main color temperatures; warm white (WW) and cool white (CW). The lamps are placed in four boxes named A, B, C, and D. Each box includes 30 bulbs. The number of warm white (WW) color temperature lambs in each box are given as 12, 18, 24, and 12 respectively. Long terms statistics of this store shows that the probabilities of brand selection are P(A)=0.25, P(B)=0.30, P(C)=0.25, and P(D)=0.20 respectively. Let consider that a customer bough a bulb. a) What is probability that the color temperature of lamp is warm white? b) What is probability that the lamp emits light that the color temperature is cool white? c) If the bulb is warm white, what is the probability box B was selected?
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