Answer:
The expected value of X is 2 with a standard deviation of 1.34.
Step-by-step explanation:
For each speaker, there are only two possible outcomes. Either it is defective, or it is not. The probability of a speaker being defective is independent of other speakers. So we use the binomial probability distribution to solve this question.
Binomial probability distribution
Probability of exactly x sucesses on n repeated trials, with p probability.
The expected value of the binomial distribution is:

The standard deviation of the binomial distribution is:

Stereo speakers are manufactured with a probability of 0.1 of being defective
This means that 
Twenty speakers are randomly selected.
This means that 
Let the random variable X be defined as the number of defective speakers. Find the expected value and the standard deviation.


The expected value of X is 2 with a standard deviation of 1.34.
Answer:

Step-by-step explanation:
The congruence statement for the triangles does not list point (or angle) S, so no claim about segments or angles involving S will be supported by the congruence statement.
The statement
tells you ...

No other claims can be made using CPCTC. The statement among the answer choices that is not true by CPCTC is ...

3/5 of $500 = 3/5 *500 = 1500/500 = 300
His father will pay $300
Answer:
The probability of getting 3 successive 1's from spinning the spinner 3 times = 0.027
Step-by-step explanation:
The spinner has 4 sides, 1,2,3 and 4
The probability of landing on a 1 = P(1) = 0.3
The probability of landing on a 2 = P(2) = It isn't given
The probability of landing on a 3 = P(3) = x
The probability of landing on a 4 = P(4) = 0.1
If Denzil spins the spinner 3 times, what is the probability of getting 3 successive 1's?
Noting that each spin is independent from one another, the probability of getting 3 successive 1's from spinning the spinner 3 times is given as
P(1) × P(1) × P(1) = 0.3 × 0.3 × 0.3 = 0.027
Hope this Helps!!!