If the point (x, y) is in Quadrant IV, which of the following must be true?
1 answer:
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15444 ways we can choose 5 objects, without replacement, from 15 distinct objects.
Given that, suppose we want to choose 5 objects, without replacement, from 15 distinct objects.
<h3>What is a permutation?</h3>A permutation is a mathematical calculation of the number of ways a particular set can be arranged, where the order of the arrangement matters.
Now, = 13!/(13-5)!
= 13!/8! = 13x12x11x10x9= 1287 x 120 = 15,444
Therefore, 15444 ways we can choose 5 objects, without replacement, from 15 distinct objects.
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Using the binomial distribution, the probabilities are given as follows:
a) 0.37 = 37%.
b) 0.5065 = 50.65%.
c) 0.3260 = 32.60%.
<h3>What is the binomial distribution formula?</h3>The formula is:
The parameters are:
- x is the number of successes.
- n is the number of trials.
- p is the probability of a success on a single trial.
For this problem, the fixed parameter is:
p = 0.37.
Item a:
The probability is P(X = 1) when n = 1, hence:
Item b:
The probability is P(X = 3) when n = 3, hence:
Item c:
The probability is P(X = 2) when n = 4, hence:
More can be learned about the binomial distribution at brainly.com/question/24863377
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