Answer:
D. 0.1353
B. 0.0473
Step-by-step explanation:
For an exponentially distributed random variable, the cumulative distribution function is:

with parameter λ=2, then P(X≥1) is equal to:

D. 0.1353
with parameter λ=1.5, then P(2≤X≤4) is equal to
B. 0.0473
Answer: We have two solutions:
1000 - 998 = 2
1001 - 999 = 2
Step-by-step explanation:
So we have the problem:
****-*** = 2
where each star is a different digit, so in this case, we have a 4 digit number minus a 3 digit number, and the difference is 2.
we know that if we have a number like 99*, we can add a number between 1 and 9 and we will have a 4-digit as a result:
So we could write this as:
1000 - 998 = 2
now, if we add one to each number, the difference will be the same, and the number of digits in each number will remain equal:
1000 - 998 + 1 - 1 = 2
(1000 + 1) - (998 + 1) = 2
1001 - 999 = 2
now, there is a trivial case where we can find other solutions where the digits can be zero, like:
0004 - 0002 = 2
But this is trivial, so we can ignore this case.
Then we have two different solutions.
5.555 = 5.1
+ 0.05 + 0.005
<span> = 5.5 + 0.05 + 0.05(.1)</span>
<span> = 5.5 + 0.05/(1-.1)</span>
<span> =5.5+0.05/.9</span>
<span> =5.5 + 5/90</span>
<span> = 5.5+1/18</span>
<span> =55/10 + 1/18</span>
<span> = 495/90 + 5/90</span>
<span> =500/90</span>
<span> = 50/9</span>
<span> = 5 5/9</span>
C..The median of Nadia’s data is equal to the median of Ben’s data. D. Nadia had the highest score on a test......?.......?