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: Hence, Probability that a coffee maker will have a defective cord is 0.376=37.6%.
Step-by-step explanation:
Since we have given that
Let A be the event of getting a faulty switch.
Let B be the event of getting a defective cord.
Here, P(A∪B) = 4% = 0.04
P(A∩B) = 0.1% = 0.001
P(A) = 2.5% = 0.025
We need to find P(B):
As we know that
Hence, Probability that a coffee maker will have a defective cord is 0.376=37.6%.
Answer:
4.0506100 x 10^-1
Step-by-step explanation:
Because all you need to do is move the decimal point to the right once, you write 10^-1 to show that to get back to the original number, you just multiply 4.0506100 by -0.1
Answer: 3/2 s-6
hope i helped
if you can give me brainliest that would be great
