Answer:
a) E(X)=1
b) σ=1
c) P(X>1)=0.368
d) P(2<X<5)=0.128
Step-by-step explanation:
We have X: "the time between two successive arrivals at the drive-up window of a local bank", exponentially distributed with λ = 1.
a) We have to compute the expected time between two successive arrivals.
The expected value for X as it is exponentially distributed is:

b) We have to compute the standard deviation of X.
The standard deviation is calculated as:

c) The probability that X is larger than 1 (P(X>1))
We can express the probability as:

d) The probability that X is between 2 and 5 (P(2<X<5))

In order to find out the answer for this, let us try to analyze the question. Since it is given that 6240 pounds is the total weight of her 5 horses and t represents the weight of each tack per horse, the inequality that could be used to determine the weight of tack Cari can allow for each horse would be this: <span>6240+5t≤8000
6240+5t indicates the total weight, and that this weight does not exceed 8000. Hope this answer helps.</span>
Your Answer Is C) III Only.
A temperature increase of 5/9 degrees Fahrenheit is equivalent to a temperature increase of 1 degree Celsius.
One way we could check is by multiplying (f -32) by five degrees.
( f - 32 ) = 31
9 / 5 = 1.8
31 * 1.8 = 55.8
55.8 / 14^2 = 0.28
Now, let's check,
0.28 / 1.8 = 0.504
0.504 * 28.1232 = 55.8
Or it could be solved by keeping on adding. (That would be easier but I prefer multiplying.)
- Please Mark Brainliest, This Took me a while. :v
Put the first number on top then start adding 6+0, 8+1, 0+4, 1+1, 0+0 and the answer is 69420
Numbers are 416, 417 and 418
<u>Step-by-step explanation:</u>
Step 1:
Let the numbers be x, x + 1 and x + 2. Given that their sum is 1251.
⇒ x + x + 1 + x + 2 = 1251
⇒ 3x + 3 = 1251
⇒ 3x = 1248
⇒ x = 416
Step 2:
Find the other numbers.
⇒ x + 1 = 417 and x + 2 = 418