One hundred football players were asked how many broken bones they have suffered. The probability distribution shows the probabi
lity of the number of bones broken by a football player.
What is the probability that a football player has suffered more than 3 broken bones?
Enter your answer, as a decimal, in the box.
What is the probability that a football player has suffered more than 3 broken bones?
Enter your answer, as a decimal, in the box.
1 answer:
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Answer:
a)
b)
Step-by-step explanation:
Previous concepts
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".
Solution to the problem
Part a
Let X the random variable "number of people math phobicmath phobic" , on this case we now that the distribution of the random variable is:
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 this probability:
If we use the probability mass function we got:
Part b
For this case we want this probability:
We can find first this probability