Thirty-nine percent of U. S. adults think that the government should help fight childhood obesity. You randomly select six U. S. adults. Find the probability that the number of U. S. adults who think that the government should help fight childhood obesity is (a) exactly two, (b) at least four, and (c) less than three. (

a)

b)

And replacing we got:

c)

And replacing we got:

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".  

Let X the random variable of interest, 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:  

Solution to the problem

Part a

For this case we want this probability:

And using the pmf we got:

Part b

We want this probability:

And replacing we got:

Part c

We want this probability:

And replacing we got:

step-by-step explanation:

you can add the two numbers and divide the result by 2. or you can find the gap between the two numbers and add half of this to the smaller number.

step-by-step explanation:

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