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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Answer:
b
Step-by-step explanation:
The inscribed angle 36°m is half the measure of its intercepted arc, that is
b = 2 × 36 = 72
c = 360 - (108 + 72) = 360 - 180 = 180 ( total sum of arcs in a circle )
The angle between a tangent and the radius of a circle at the point of contact is 90° , then
d = 90
Thus b = 72, c = 180, d = 90 → b
We can name an angle either by naming its vertex or by three letters , keeping the letter of vertex in between.
so here vertex is F
we can name it as ∠EFG, ∠F , ∠GFE
This strikes out the option B that is ∠G
so option B is the answer
What letter am I solving for?
Answer:
Approximately Normal, with a mean of 950 and a standard error of 158.11
Step-by-step explanation:
To solve this question, we need to understand the Central Limit Theorem.
The Central Limit Theorem estabilishes that, for a random variable X, with mean
and standard deviation
, a large sample size can be approximated to a normal distribution with mean
and standard deviation, which is also called standard error
.
In this problem, we have that:

The sampling distribution of the sample mean amount of money in a savings account is
By the Central Limit Theorem, approximately normal with mean
and standard error 
So the correct answer is:
Approximately Normal, with a mean of 950 and a standard error of 158.11