(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.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 12CYU
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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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