Using the binomial distribution, it is found that there is a 0.0012 = 0.12% probability at least two of them make it inside the recycling bin.
<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.
With 5 shoots, the probability of making at least one is , hence the probability of making none, P(X = 0), is , hence:
1 - p = 0.9908
p = 0.0092
Then, with 6 shoots, the parameters are:
n = 6, p = 0.0092.
The probability that at least two of them make it inside the recycling bin is:
In which:
[P(X < 2) = P(X = 0) + P(X = 1)
Then:
Then:
P(X < 2) = P(X = 0) + P(X = 1) = 0.9461 + 0.0527 = 0.9988
0.0012 = 0.12% probability at least two of them make it inside the recycling bin.
More can be learned about the binomial distribution at brainly.com/question/24863377
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2 4/5 I believe is the least value.
Answer:
The area of the circle is 28.26
The area of the circle in terms of pi is 9π
Step-by-step explanation:
radius = half of diameter
d = 6
r = 6/2 = 3
To solve this problem we need to use the area formula of a circle:
a = area
r = radius = 3
π = pi
a = π * r²
we replace with the known values
a = π * (3)²
a = π * 9
a = 9π
The area of the circle in terms of pi is 9π
9 * 3.14 = 28.26
The area of the circle is 28.26
Answer:
Answer: The mean increases by 3
Step-by-step explanation:
The original data set is
{50, 76, 78, 79, 79, 80, 81, 82, 82, 83}
The outlier is 50 because it is not near the group of values from 76 to 83 which is where the main cluster is.
The original mean is M = (50+76+78+79+79+80+81+82+82+83)/10 = 77
If we take out the outlier 50, the new mean is N = (76+78+79+79+80+81+82+82+83)/9 = 80
So in summary so far
old mean = M = 77
new mean = N = 80
The difference in values is N-M = 80-77 = 3
So that's why the mean increases by 3