Study the information provided below and answer questions \( 10-12 \).
INFORMATION
A team of product testing engineers has established that the lifespan of an \( X X X^{T M} \) brand of digital smartwatch is normally distributed, with a mean of 60 months and the standard deviation of 10 months. According to the manufacturer's policy, any \( X X X^{T M} \) smartwatch malfunctioning within 43 months of purchase will be replaced with a new one.
QUESTION 10
(4 Marks)
What is the probability that a recently purchased \( X X X^{T M} \) digital smartwatch will last between 40 months and 85 months?
A. 0.8867
в. 0.9710
c. 0.7848
D. 0.9290
QUESTION 11
(4 Marks)
What is the probability that a recently purchased \( X X X^{T M} \) digital smartwatch will last at least 82 months?
A. 0.9861
в. 0.0861
c. 0.4861
D. 0.0139
QUESTION 12
(4 Marks)
Based on the manufacturer's policy, what percentage of the \( \mathrm{XXX} \mathrm{X}^{\mathrm{TM}} \) digital smartwatches are expected to be replaced?
A. \( 5.00 \% \)
в. \( 4.46 \% \)
c. \( 7.81 \% \)
D. \( 2.83 \% \)