Answer:
The probability is 0.0428
Step-by-step explanation:
First, let's remember that the binomial distribution is given by the formula:
![P(X=k) =\left[\begin{array}{ccc}n\\k\end{array}\right] p^{k}(1-p)^{n-k}](https://tex.z-dn.net/?f=P%28X%3Dk%29%20%3D%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7Dn%5C%5Ck%5Cend%7Barray%7D%5Cright%5D%20p%5E%7Bk%7D%281-p%29%5E%7Bn-k%7D)
where k is the number of successes in n trials and p is the probability of success.
However, the problem tells us that when there isn't a number of trials fixed, we can use the geometric distribution and the formula for getting the first success on the xth trial becomes:
The problem asks us to find the probability of the first success on the 4th trial (given that the first subject to be a universal blood donor will be the fourth person selected)
Using this formula with the parameters given, we have:
p = 0.05
x = 4
Substituting these parameters in the formula and solving it, we get:
Therefore, the probability that the first subject to be a universal blood donor is the fourth person selected is 0.0428 or 4.28%
Answer:The total number of hours worked in the week is 46. The hourly pay would be 40(14) + 6(21) = $686 per week. The annual earnings are 52(686) = $35,672. The salary pay is more than the hourly pay based on the typical hours worked each week given in the table. Therefore, the employee would probably want to choose the salaried pay.
Step-by-step explanation:
Answer:
Correct answer: h = 3/5 or y = 3/5
Step-by-step explanation:
Given:
h(x) = (3x² - 9x - 4) / (5x² - 4x + 8)
h = lim x -> ∞ (3x² - 9x - 4) / (5x² - 4x + 8) the numerator and denominator will be divided by x² and get
h = lim x -> ∞ (3 - 9(1/x) - 4 (1/x²)) / (5 - 4(1/x) + 8 (1/x²)
The terms 1/x and 1/x² when x strives ∞ they strives 0
x -> ∞ ⇒ 1/x -> 0 and x -> ∞ ⇒ 1/x² -> 0
h = (3 - 0 - 0) / (5 - 0 + 0)
Horizontal asymptote is h = 3/5 or y = 3/5
God is with you!!!
Answer:
um
Step-by-step explanation:
Answer:
20
Step-by-step explanation:
1 hour=2 kg
10 hrs=10×2=20
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