Using the binomial distribution, the probabilities are given as follows:
a. 0.2637 = 26.37%.
b. 0.8965 = 89.65%.
c. 0.0148 = 1.48%.
<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.
The values of the parameters for this problem are:
n = 5, p = 0.25.
Item a:
The probability is P(X = 2), hence:
Item b:
The probability is:
In which:
Then:
Item c:
The probability is:
In which:
Then:
More can be learned about the binomial distribution at brainly.com/question/24863377
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Answer:
Hey there!
A "flip" can be considered a reflection.
A "spin" is a rotation.
A "slide" is a translation.
None of these transformations change the way a shape looks, or the size of the shape. They only change how the shape is oriented.
Let me know if this helps :)
Answer: shifted by 3*pi/2 units to the right.
Step-by-step explanation:
Here we have:
y = sin(x - 3*pi/2)
now, you need to remember this:
if we have y = f(x)
then y' = f(x - A) is the graph of y, shifted A units to the right (where A is a positive number).
If A is negative, the shift is to the left.
Then in this case, we have:
sin(x) -----> sin( x - 3*pi/2)
A = 3*pi/2
Then we have the graph shifted by 3*pi/2 units to the right.
Answer:
B, B, A.
Step-by-step explanation:
5x means 5 multiplied by x, so is it A, B or C? the product, because that means multiplied. a is B.
For b, we can see that 7 is a constant, because it isn't being multiplied by anything.
For c, 2y is 2 multiplied by y. Y would be the variable, and 2 would be the coefficient.