For his phone service, Chris pays a monthly fee of $25, and he pays an additional $0.06 per minute of use. The least he has been
1 answer:
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Answer:
0.0479 = 4.79% probability that fewer than 11 of them will vote
Step-by-step explanation:
For each voter, there are only two possible outcomes. Either they will vote, or they will not. The probability of a voter voting is independent of any other voter, which means that the binomial probability distribution is used 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.
70% of all eligible voters will vote in the next presidential election.
This means that
20 eligible voters were randomly selected from the population of all eligible voters.
This means that
What is the probability that fewer than 11 of them will vote?
This is:
In which
The probability of 5 or less voting is very close to 0, so they will not affect the outcome. Then
0.0479 = 4.79% probability that fewer than 11 of them will vote
Answer:
Then the probability that exactly 6 bridges in the sample are structurally deficient is 0.1063 or 10.63%
Step-by-step explanation:
Let X the random variable of interest "number of bridges in the sample are structurally deficient", on this case we now that:
The probability mass function for the Binomial distribution is given as:
Where (nCx) means combinatory and it's given by this formula:
And we want to find this probability:
And if we use the probability mass function and we replace we got:
Then the probability that exactly 6 bridges in the sample are structurally deficient is 0.1063 or 10.63%