The given MGF is that for a random variable following a Poisson distribution with parameter
.
This means
, and
has PMF
So, the desired probability is
This is equivalent to
Answer: Choice B
95 - 1080n for any integer n
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Explanation:
Notice how 1080 is a multiple of 360 since 360*3 = 1080. The other values 1450, 780 and 340 are not multiples of 360. For example 1450/360 = 4.02777 approximately. We need a whole number result to show it is a multiple.
Therefore, choice B shows subtracting off a multiple of 360 from the original angle 95. In my opinion, it would be better to write 95+360n or 95-360n to make it more clear we are adding or subtracting multiples of 360.
Choice B will find coterminal angles, but there will be missing gaps. One missing coterminal angle is 95-360 = -265 degrees. So again, 95-360n is a more complete picture. I can see what your teacher is going for though.
The answer is 0.305. All you have to do is move the decimal place three times to the left.
In ∆MKP and ∆MNP
MK = MN
PK = NP
MP = MP
SO ∆MKP AND ∆MNP ARE CONGRUENT.
SO m<PMN = m<PMK
m<NMK = 50
=> m<PMN + m<PMK = 50
=> 2 m<PMK = 50
=> m<PMK = 50/2 = 25°
