Hint: The number of n randomly selected buyers prefer red/green
~ Binomial(n, p), where p is the proportion of the population prefer red/green
1. A researcher wishes to conduct a study of the color preferences of new car buyers. Suppose that 40% of this populatin prefers the color red. If 20 buyers are randomly selected, what is the probability that exactly a fourth of the buyers would prefer red?
First, I think that .20 is taken from the total population and 1/4 of that is 5 or .05%?
2. Suppose that 50% of this population prefers the color red. If 14 buyers are randomly selected, what is the probability that less than 12 buyers would prefer red?
Is this one I have no clue at all.
3. Suppose that 30% of this population prefers the color green. If 16 buyers are randomly selected, what is the probability that between 2 and 5 (both inclusive) buyers would prefer green?
I have NO clue!!!
Indeed the binomial distribution. It can give us the probability for k successes in n independent trials with a given probability for success p.
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