Answer:
Step-by-step explanation:
It's simple. So the only cards which are divisible by 2 or 3 are: 2,3,4,6,8,9,10,12,14,15,16,18,20,21,22,24. The formula of probability is P= m/n. Where m-Number of ways it can happen and n- Total number of outcomes.
Our answer is P= 16/24=2/3=66,66%
Answer:
0.9986
Step-by-step explanation:
- Prob (Machine tool actually fails) = 0.04
- So, Prob (Machine tool actually functions) = 1 - 0.04 = 0.96
- Prob (functional machine tool claimed fail) = 0.08
- So, Prob (functional machine tool claimed functional) = 1- 0.08 = 0.92
- Prob (fail machine tool claimed fail) = 0.97
- So, Prob (fail machine tool claimed functional) = 1- 0.97 = 0.03
Prob A: P [Machine tool indicated (claimed) functional] :- Functional machine tool or fail machine tool claimed functional = (0.96)(0.92) + (0.04)(0.03) = 0.8844
Prob B: P [Machine tool actually function when passed by QAs] = (0.96)(0.92) = 0.8832
Prob (A given B) = P (A & B) / P (A)
= 0.8832 / 0.8844 = 0.9986
Answer: Mean = 760
Standard deviation = 6.16
Step-by-step explanation:
Given : The number of trials: 
The probability that a certain protection system will be recovered :
We know that the mean and standard deviation of binomial distribution is given by :_

, where n is the number of trials and p is the probability of success.
Now, the mean and standard deviation of the number of cars recovered after being stolen is given by :-


Hence, the mean is 760 and standard deviation is 6.16 .
Answer:
The answer is 4th point
Step-by-step explanation:
x² should not equals to a negative number :
e.g
x² = 4
x = √4
= 2
x² = -4
x = √-4 (undefined)(rejected)