a game superstore manager made claims that the probability that a customer would prefer the deluxe model to the standard model of a product is 30%.
what is the probability that four out of customers will prefer the deluxe model
This is a binomial probability problem, since we are interested in the probability of a specific number of successes (customers who prefer the deluxe model) in a fixed number of trials (four customers).
Using the binomial probability formula, we have:
P(4 customers prefer deluxe) = (4 choose 4) * 0.3^4 * 0.7^0
P(4 customers prefer deluxe) = 1 * 0.3^4 * 1
P(4 customers prefer deluxe) = 0.0081
Therefore, the probability that four out of four customers will prefer the deluxe model is 0.0081, or approximately 0.81%.