If you can buy 2⁄3 of a box of chocolates for 5 dollars, how much can you purchase for 4 dollars? Write your answer as a fractio
2 answers:
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Answer:
The probability is 0.0428
Step-by-step explanation:
First, let's remember that the binomial distribution is given by the formula:
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 modulus of the complex number 6-2i is:
Step-by-step explanation:
Given the number
We know that
where x and y are real and
The modulus or absolute value of z is:
Therefore, the modulus of will be:
Therefore, the modulus of the complex number 6-2i is: