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
This might be wrong, but you need to get x be itself on the left side and then after you do that, the x on both sides will cancel. Whenever you try to subtract one x from the other it will cancel them. So technically that's all you can do.
Answer:
12 times the August rainfall
Step-by-step explanation:
The total of 12 of the same value is 12 times that value. Multiply the August average by 12 to get your answer.
Answer:
Step-by-step explanation:
We see that this is a rectangle triangle, and that the ZY side is the hypotenuse.
It's length is then square root of the sum of the squares of the other sides:
So, in this case:
The 8 and 3 numbers are easy to get from the graphic... and the order doesn't matter (8² + 3² = 3² + 8²).
That's an easy rule to remember.
I hope it helps.
