60% of customers who enter a department store will make a purchase. Out of 4 randomly selected customers, what is the probability at least one of them makes a purchase? Round to the nearest whole percent. 49% 97% 50% 78%

MATLAB: An Introduction with Applications
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60% of customers who enter a department store will make a purchase. Out of 4 randomly selected customers, what is the probability at least one of them makes a purchase? Round to the nearest whole percent.

49%
97%
50%
78%
Expert Solution
Step 1

Introduction:

Denote X as the random variable of interest here, which is the number of people entering the department store who make a purchase.

Consider it to be a success if a sampled person entering the store makes a purchase. It may be considered that the sampled people enter the store independently of each other, as the population of people that can potentially enter the store is large, and the sample size of 4 people is very small in comparison.

As 60% of the customers entering the store makes a purchase, the probability of “success” or probability of a person entering the store and making a purchase is p = 60% = 0.6.

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