Answer:
I believe your rule would be (The rule is add 3)
Step-by-step explanation:
If you have -9 and you get to -6 that means you added an interval of 3
-9,-6,-3,0,3 is how it would continue
(The rule is add 3)
Answer:
118 ounces
Step-by-step explanation:
14.75 • 8 = 118
Answer:
Step-by-step explanation:
(-2 + x)/2= 4
-2 + x = 8
x = 10
(2 + y)/2 = -3
2 + y = -6
y = -8
(10, -8) for endpoint H
Both of these conditions must be true in order for the assumption that the binomial distribution is approximately normal. In other words, if and then we can use a normal distribution to get a good estimate of the binomial distribution. If either np or nq is smaller than 5, then a normal distribution wouldn't be a good model to use.
side note: q = 1-p is the complement of probability p
Answer:
For first lamp ; The resultant probability is 0.703
For both lamps; The resultant probability is 0.3614
Step-by-step explanation:
Let X be the lifetime hours of two bulbs
X∼exp(1/1400)
f(x)=1/1400e−1/1400x
P(X<x)=1−e−1/1400x
X∼exp(1/1400)
f(x)=1/1400 e−1/1400x
P(X<x)=1−e−1/1400x
The probability that both of the lamp bulbs fail within 1700 hours is calculated below,
P(X≤1700)=1−e−1/1400×1700
=1−e−1.21=0.703
The resultant probability is 0.703
Let Y be a lifetime of another lamp two bulbs
Then the Z = X + Y will follow gamma distribution that is,
X+Y=Z∼gamma(2,1/1400)
2λZ∼
X+Y=Z∼gamma(2,1/1400)
2λZ∼χ2α2
The probability that both of the lamp bulbs fail within a total of 1700 hours is calculated below,
P(Z≤1700)=P(1/700Z≤1.67)=
P(χ24≤1.67)=0.3614
The resultant probability is 0.3614