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))
Lets do this like this:
X = number of quarters and y=number of dimes.
Now, we know that the total number is 35 and that the change adds up to 6.50.
One equation we can form is <span>x+y=35</span>Remember the total number of coins is 35.
The other equation is <span>25x+.1y=6.5</span>Because the number of dimes times their value plus the number of quarters times their value gives us a total of 6.5. Now we can solve for x or y easily in the first equation.
Solving for y like this:<span>y=35−x</span>We can substitute this into the other equation to obtain<span>.25x+.1(35−x)=6.5</span>This simplifies to<span>.15x+3.5=6.5</span><span>.15x=3</span><span>x=<span>20
I hope this can help you indeed</span></span>
P needs to be something that is multiplied through 5-2n to equal 5/6-1/3n. Since you see that there is a 5 of somesort in both equations an easy place to start is simply making p=1/6. Once you do that then 5*1/6=5/6 so the first part is okay. Then 2n*1/6=2n/6 which is able to be reduced to n/3.
Based on this it is clear that p should equal 1/6.
The associative property of real numbers is shown in the number expression 3 + ((-5) + 6) = (3 + (-5)) + 6
<h3>What is an arithmetic operation?</h3>
It is defined as the operation in which we do the addition of numbers, subtraction, multiplication, and division. It has a basic four operators that is +, -, ×, and ÷.
We have a number expression:
= 3 + ((-5) + 6) = (3 + (-5)) + 6
As we know in the associative property:
a + (b + c) = (a + b) + c
= (3 + (-5)) + 6
Thus, the associative property of real numbers is shown in the number expression 3 + ((-5) + 6) = (3 + (-5)) + 6
Learn more about the arithmetic operation here:
brainly.com/question/20595275
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Answer:
85° and 95°
Step-by-step explanation:
Given that , x and x + 10 are a pair of angles .
- If they will be pair of angles on the same line , then their sum will be 180° .
=> x + x + 10° = 180°
=> 2x = 180° -10°
=> 2x = 170°
=> x = 170°/2
=> x = 85° .
<h3><u>Hence </u><u>the </u><u>two </u><u>angles</u><u> </u><u>are </u><u>8</u><u>5</u><u>°</u><u> </u><u>and </u><u>9</u><u>5</u><u>°</u><u> </u><u>.</u></h3>
