Answer:
So then the probability that the batch would be accepeted is:
Step-by-step explanation:
The binomial distribution is a "DISCRETE probability distribution that summarizes the probability that a value will take one of two independent values under a given set of parameters. The assumptions for the binomial distribution are that there is only one outcome for each trial, each trial has the same probability of success, and each trial is mutually exclusive, or independent of each other".
Let X the random variable of interest, on this case we now that:
On this case p=0.04 represent the probability that a random the tablet would be NOT accepted
The probability mass function for the Binomial distribution is given as:
Where (nCx) means combinatory and it's given by this formula:
They accept the batch if there is only one or no tablet that doesn’t meet the test specification, so let's find the individual probabilities for this case:
So then the probability that the batch would be accepeted is:
Answer:
the probability of getting exactly 2 fours is 0.16
Step-by-step explanation:
The probability of obtaining a number that is four = ¹/₆
The probability of obtaining a non 4 number = 1 - ¹/₆ = ⁵/₆
The number of ways 2 fours can be arrange in five numbers = ⁵C₂ = 10 ways
If the die is tossed five times, the probability of the events is calculated as;
P = 10 x (¹/₆)² x (⁵/₆)³
P = 10 x (¹/₃₆) x (¹²⁵/₂₁₆)
P = 10 x 0.02778 x 0.5787
P = 0.16
Therefore, the probability of getting exactly 2 fours is 0.16
Answer:
p= 2
Step-by-step explanation:
Isolate the variable by dividing each side by factors that don't contain the variable.
Choice B - Supremacy
As used in line 53, "dominion" most nearly means supremacy.
In the first paragraph of Passage 2, when discussing changing social relations, Mill writes that in her time there was "a just equality, instead of the supremacy of the strongest." In this context of a society where some once had much more power than others, the word "dominion" almost means superiority or greater power.
Choices A, C, and D are incorrect because, in the context of a paragraph discussing differences in the amount of power members of a society have, "dominion" means dominion or greater power, not omnipotence or the state of being all-powerful (choice A), possession ( choice C) or territory (choice D).
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