In a cafe, only coffee and tea are offered. The probability of a customer buys a cup of coffee is 0.4 and a cup of tea is 0.6. Find the probability that exactly 5 customers have bought a cup of coffee in a random sample of 13 customers. O 0.0656 O 0.2214 0.0002 O 0.2259 Find the probability that the number of customers bought a cup of coffee equals the number of customers bought a cup of tea in a random sample of 10 customers. O 0.0008 O 0.2007 O 0.7993 O 0.9996 Find the probability that the number of customers bought a cup of coffee is fewer than the number of customers bought a cup of tea in a random sample of 6 customers. O 0.5443 O 0.3908 O 0.7741 O 0.7278

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A: Please see the below picture for detailed solution.