Answer:
0.5 ; 0.475 ; 0.689 ; 0.4013
Step-by-step explanation:
Given that:
Rate of production of defective batteries p = 0.05
Number of batteries produced (n) = 10
The expected number of defective batteries = mean = n * p = 10 * 0.05 = 0.5 batteries
Variance of defective batteries :
Var(X) = n * p * q ; q = 1 - p
Hence,
Var(X) = 10 * 0.05 * 0.95 = 0.475
Standard deviation (X) = sqrt(variance) = sqrt(0.475) = 0.689
Probability that atleast 1 battery is defective :
Using the binomial probability function
P(x ≥ 1) = 1 - p(x = 0)
= 1 - q^n
= 1 - 0.95^10
= 1 - 0.59873693923837890625
= 0.40126306076162109375
= 0.4013
Answer:
14
Step-by-step explanation:
The diameter is the length from one point on the circle to another, passing through the center. The <em>radius </em>is the length from a point on the circle to its center, so we can always find the diameter by doubling the radius. In this case, with a radius of 7, our diameter is 7 · 2 = 14
Answer:
x<3
Step-by-step explanation:
Given a circle with a circumference of 10 feet-
The radius is around 1.59 ft.
You can use formulas of the circle to solve for the radius.
Hope this helps!
Answer:
65% as a fraction would be 13/20
Step-by-step explanation:
