Answer:
17
Step-by-step explanation:
Answer:
a) Binomial distribution, with n=20 and p=0.10.
b) P(x>1) = 0.6082
c) P(3≤X≤5) = 0.3118
d) E(X) = 2
e) σ=1.34
Step-by-step explanation:
a) As we have a constant "defective" rate for each unit, and we take a random sample of fixed size, the appropiate distribution to model this variable X is the binomial distribution.
The parameters of the binomial distribution for X are n=20 and p=0.10.
b) The probability of k defective surge protectors is calculated as:
In this case, we want to know the probability that more than one unit is defective: P(x>1). This can be calculated as:
c) We have to calculate the probability that the number of defective surge protectors is between three and five: P(3≤X≤5).
d) The expected number of defective surge protectors can be calculated from the mean of the binomial distribution:
e) The standard deviation of this binomial distribution is:
On the day that Caroline made her road trip, I didn't
leave the house, so my average speed was zero.
Answer:
Step-by-step explanation:
we know that
Let
x-------> the number of nickels
y-------> the number of dimes
------> isolate the variable y
--------> equation A
------> multiply by both sides
-------> equation B
Substitute equation A in equation B and solve for x
The shaded set of numbers shown on the x-axis can be expressed in interval notation as [2, 6).
We are given a graph. The graph represents a downward parabola curve. A parabola is a plane curve that is mirror-symmetrical and roughly U-shaped in mathematics. It fits several seemingly disparate mathematical descriptions, all of which can be shown to define the same curves. There are two endpoints of the curve. The first endpoint with x-coordinate 2 is included in the graph of the curve. The second endpoint with x-coordinate 6 is not included in the graph of the curve. All the numbers between the endpoints are included in the graph of the curve. The set of numbers in the interval notation can be written as [2, 6).
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