I uploaded the answer to
a file hosting. Here's link:
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Answer:
0.2397
Step-by-step explanation:
Given data:
fX(x) = Cxe^(−x/2) if x >0 0 otherwise, where C > 0 is some constant.
The probability that the system functions for at least 5 months
= 0.2397
attached below is a detailed solution
The second option - 3/25.
The probability of the first one is 3 blue socks over 10 socks in total = 3/10
The probability of the second one is 4 red socks over 10 socks in total = 4/10
Multiply the two probabilities to get the probability of having the first sock as blue and the second sock as red.
3/10 * 4/10 = 3/25
Answer:
No, it is not possible to obtain zero by adding two vectors of unequal magnitudes.
Explanation:
The Sum of two vectors can only be zero if they are equal in magnitude and opposite in direction. So no two vectors of unequal magnitude cannot be added to give a null vector. Three vectors of equal magnitude and making an angle 120 degrees with each other gives a zero resultant.
