An airplane is flying from New York City to Los Angeles. The distance it travels in miles, d, is related to the time in seconds,
1 answer:
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Answer:
And we can find the individual probabilities like this:
And replacing we got:
Step-by-step explanation:
Previous concepts
A Bernoulli trial is "a random experiment with exactly two possible outcomes, "success" and "failure", in which the probability of success is the same every time the experiment is conducted". And this experiment is a particular case of the binomial experiment.
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".
The probability mass function for the Binomial distribution is given as:
Where (nCx) means combinatory and it's given by this formula:
The complement rule is a theorem that provides a connection between the probability of an event and the probability of the complement of the event. Lat A the event of interest and A' the complement. The rule is defined by:
Solution to the problem
For this case we want this probability:
And for this case we can use the comlement rule and we got:
And we can find the individual probabilities like this:
And replacing we got:
Answer:
(Rows, chairs)= (2,15), (3,10), (5,6)
Step-by-step explanation:
Given: There are 30 chairs in the band room.
Criteria: There has to be same number of chairs in each row. There must be more than one row and the number of chairs in each row must also be greater than the number of rows.
First finding the divisor of 30:
1,2,3,5,6,10,15,30
Now, we need to look into divisor which qualify the criteria in the multiple of rows and number of chairs.
∴ 30=
30=
30=
∴ Mr Avery can use either of these option to arrange rows and chairs.
(Rows, chairs)= (2,15), (3,10), (5,6)