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:
i³ = - i
Step-by-step explanation:
<u><em>Explanation</em></u>:-
<u><em>Step(i)</em></u>:-
Given
we know that cos π = -1
sin π = 0
now given data
we can write
<u><em>step(ii)</em></u>:-
In complex numbers nth roots of a complex number
Z = r(cosθ+i sinθ)
Step(iii):-
now
By using trigonometric
<u><em>Final answer:-</em></u>
i³ = - i
I think it is 4.5 miles per hour
Answer:
Step-by-step explanation:
the system of equations is:
First, we multiply the second equation by -9:
and now we add this to the first original equation:
we have eliminated the y variable, so we can solve for x:
with this value of x, we substitute it on the second of the original set of equations to find the value of y:
the answer as an ordered pair is: