Answer:
The likelihood that a failure will not take place within the next 30 months is 0.0454.
Step-by-step explanation:
We employ a Poisson distribution where:
t = time units
x = occurrences during t units
λ = average occurrences per unit of time
P(x;λt) = e raised to the power of (-λt) multiplied by λtˣ divided by x!
Here, λt equals 25.
x equals 30.
P(x= 30) = 25³⁰e⁻²⁵/ 30!
P (x= 30) = 8.67 E41 * 1.3887 E-11/30! (where E signifies exponent)
P (x=30) = 1.204 E31/30!
Utilizing a statistical calculator will yield:
P (x=30) = 0.0454
The probability that the next failure will not occur prior to 30 months is 0.0454.
Using the Pythagorean theorem: In a right triangle where legs are labeled a and b, and hypotenuse is c. Given the triangle ΔXYZ has a right angle at Y, with angles YZX and ZXY both measuring 45 degrees, and ZY = YX = 12 cm. The task is to find the length of XZ.
Answer:
Step-by-step explanation:
I concluded the answer is.25 because it makes sense and I was correct.
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