A punter kicks a football into the air. The pathway of the football can be represented by the equation h=-16t^2+82t (where t= ti
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Answer:
Mean and Variance of the number of defective bulbs are 0.5 and 0.475 respectively.
Step-by-step explanation:
Consider the provided information,
Let X is the number of defective bulbs.
Ten light bulbs are randomly selected.
The likelihood that a light bulb is defective is 5%.
Therefore sample size is = n = 10
Probability of a defective bulb = p = 0.05.
Therefore, q = 1 - p = 1 - 0.05 = 0.95
Mean of binomial random variable:
Therefore,
Variance of binomial random variable:
Therefore,
Mean and Variance of the number of defective bulbs are 0.5 and 0.475 respectively.
For this case we must solve the following system of equations:
To solve we follow the steps below:
We multiply the second equation by -3:
Thus, we have the equivalent system:
We add the equations:
We look for the value of the variable "y":
Thus, the solution of the system is given by:
Answer:
Answer:
Step-by-step explanation:
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