Answer:
Option B and D
Step-by-step explanation:
The complete question is attached
Solution
All f(x) values are not negative hence, option A is incorrect
All g(x) values are the greatest among the three f(x), g(x) and h (x), hence option B is correct
The range of all three functions is different. Hence, option C is incorrect
All h (x) values are negative. Hence, Option D is correct
Answer:
Required Probability = 0.625
Step-by-step explanation:
Given,
Probability of unlocked doors, P(U) = 0.25
Probability of locked doors, P(U') = 0.75
Probability of something being stolen when door is unlocked, P(S/U) = 0.05
Probability of something not being stolen when door is unlocked, P(S'/U) = 0.95
Probability of something being stolen when door is locked, P(S/U') = 0.01
Probability of something not being stolen when door is locked, P(S'/U') = 0.99\
probability of being stolen either door is locked or not,
P(S) =P(S/U).P(U) + P(S\U').P(U')
= 0.05 x 0.25 + 0.95 x 0.75
= 0.0125 + 0.0075
= 0.02
Probability that door was unlocked when while steeling can by given by
= 0.625
hence, the required probability is 0.625.