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(i) If the selected smartphone is sold below RM2500, find the probability that the smartphone is from China. (ii) If the selected smartphone sold is not from Korea, find the probability that the phone is sold below RM2500. (iii) Assume that the shop makes a profit of RM1000 per month from the smartphones sold below RM2500, and a profit of RM2000 per month from the smartphones sold at or above RM2500. Find the expectation and variance of the profit made per month.

(i) If the selected smartphone is sold below RM2500, find the probability that the smartphone is from China. (ii) If the selected smartphone sold is not from Korea, find the probability that the phone is sold below RM2500. (iii) Assume that the shop makes a profit of RM1000 per month from the smartphones sold below RM2500, and a profit of RM2000 per month from the smartphones sold at or above RM2500. Find the expectation and variance of the profit made per month.

A First Course in Probability (10th Edition)
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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Fifty percent of the smartphones sold in a store are from China, 40% from Korea and 10% from US. Seventy percent of all the phones from China sold are below RM2500, 40% of all the phones from Korea sold are below RM2500, while only 20% of all the phones from US sold are below RM2500. A smartphone sold is selected at random. QI. (a) (i) If the selected smartphone is sold below RM2500, find the probability that the smartphone is from China. (ii) If the selected smartphone sold is not from Korea, find the probability that the phone is sold below RM2500. (iii) Assume that the shop makes a profit of RM1000 per month from the smartphones sold below RM2500, and a profit of RM2000 per month from the smartphones sold at or above RM2500. Find the expectation and variance of the profit made per month.
Transcribed Image Text:Fifty percent of the smartphones sold in a store are from China, 40% from Korea and 10% from US. Seventy percent of all the phones from China sold are below RM2500, 40% of all the phones from Korea sold are below RM2500, while only 20% of all the phones from US sold are below RM2500. A smartphone sold is selected at random. QI. (a) (i) If the selected smartphone is sold below RM2500, find the probability that the smartphone is from China. (ii) If the selected smartphone sold is not from Korea, find the probability that the phone is sold below RM2500. (iii) Assume that the shop makes a profit of RM1000 per month from the smartphones sold below RM2500, and a profit of RM2000 per month from the smartphones sold at or above RM2500. Find the expectation and variance of the profit made per month.
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