Using the binomial distribution, the probabilities are given as follows:
a) 0.4159 = 41.59%.
b) 0.5610 = 56.10%.
c) 0.8549 = 85.49%.
<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 values of the parameters are:
n = 3, p = 0.76.
Item a:
The probability is P(X = 2), hence:
Item b:
The probability is P(X < 3), hence:
P(X < 3) = 1 - P(X = 3)
In which:
Then:
P(X < 3) = 1 - P(X = 3) = 1 - 0.4390 = 0.5610 = 56.10%.
Item c:
The probability is:
More can be learned about the binomial distribution at brainly.com/question/24863377
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Answer:
First equate 3x + 7 to any unknown
3x + 7 = P
Then make x the subject of the formula
3x + 7 = P
3x + 7-7= P-7
3x = P-7
3x ÷ 3 = (P-7) ÷ 3
x = (P-7) ÷3
Then interchange x with the unknown which I have as P
x = (P-7) ÷ 3
P = (x-7) ÷ 3
Then inverse of f(x)
is;
f-1(x) = (x-7) ÷ 3
Thank you.
BY GERALD GREAT.
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8^6 ÷ 4^3
8^6 = 262,144
4^3 = 64
So, 262,144 ÷ 64 = 4,096.
Done!
