A manufacturer of floor wax has developed two new brands,

Solution 49E

Step1 of 3:

Here a A manufacturer of floor wax has developed two new brands, A and B, which she wishes to subject to homeowners evaluation to determine which of the two is superior. Also we have

n = 15, p = 0.5.

Here our goal is:

a). We need to find the probability that ten or more homeowners would state a preference for brand A.

b). We need to find the probability that ten or more homeowners would state a preference for either brand A or brand B.

Step2 of 3:

a).

Let ‘X’ be the random variable it presents number of homeowners who would state a preference.

Here X follows binomial distribution with parameter ‘n and p’.

That is XB(n, p)

                 XB(15, 0.5)

Then the probability mass function of binomial distribution is given by:

Where,

x = random variable

p = probability of success

n = sample size