Answer:
In order to calculate the expected value we can use the following formula:
And if we use the values obtained we got:
Step-by-step explanation:
Let X the random variable that represent the number of admisions at the universit, and we have this probability distribution given:
X 1060 1400 1620
P(X) 0.5 0.1 0.4
In statistics and probability analysis, the expected value "is calculated by multiplying each of the possible outcomes by the likelihood each outcome will occur and then summing all of those values".
The variance of a random variable Var(X) is the expected value of the squared deviation from the mean of X, E(X).
And the standard deviation of a random variable X is just the square root of the variance.
In order to calculate the expected value we can use the following formula:
And if we use the values obtained we got:
Answer:
29√5
Step-by-step explanation:
11√45 - 4√5
So first simplify the first square root:
33√5
33√5 - 4√5 = 29√5
Answer:
- 1) 120 seconds
- 2) 180 seconds
Step-by-step explanation:
<u>First light</u>
Shines 3 seconds first time plus after 6 seconds, the pattern is:
Off 6 seconds first time plus after 6 seconds, the pattern is:
<u>Second light</u>
Shines 4 seconds first time plus after 8 seconds, the pattern is:
Off 8 seconds first time plus after 8 seconds, the pattern is:
<u>Third light</u>
Shines 5 seconds first time plus after 10 seconds, the pattern is:
Off 10 seconds first time plus after 10 seconds, the pattern is:
1) <u>All lights will be off after:</u>
- LCM(6x, 8x, 10x) = 2*3*4*5x
- x = 1 ⇒ 120*1 = 120 seconds, next time
2) <u>All lights will come on after:</u>
- LCM(3 + 6x, 4 + 8x, 5 + 10x) = LCM(3(1+2x), 4(1+2x), 5(1 + 2x)) = 60(1 + 2x)
- x = 1 ⇒ 60(1 + 2) = 180 seconds, first time
Answer:
Probability [Getting a red card] = 1/2
Step-by-step explanation:
Given:
Total number of cards = 52
Find:
Probability [Getting a red card]
Computation:
Total number of red cards = 26
Probability [Getting a red card] = 26/52
Probability [Getting a red card] = 1/2