Thomas has two kittens. He records the
2 answers:
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Answer:
0.6173 = 61.73% probability that the product operates.
Step-by-step explanation:
For each integrated circuit, there are only two possible outcomes. Either they are defective, or they are not. The integrated circuits are independent. This means that we use the binomial probability distribution to solve this question.
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.
In which is the number of different combinations of x objects from a set of n elements, given by the following formula.
And p is the probability of X happening.
An electronic product contains 48 integrated circuits.
This means that
The probability that any integrated circuit is defective is 0.01.
This means that
The product operates only if there are no defective integrated circuits. What is the probability that the product operates?
This is P(X = 0). So
0.6173 = 61.73% probability that the product operates.
Answer:
The radius and height of the cylinder of maximum volume is 9 unit and 9 unit.
Step-by-step explanation:
Given that,
Radius = 9
According to figure,
Radius of cylinder = Radius of hemisphere
Center of cylinder base is also center of sphere.
Circular top of cylinder touching the top of hemisphere.
So, Height of cylinder = radius of hemisphere
Hence, The radius and height of the cylinder of maximum volume is 9 unit and 9 unit.
