Activity: Eight persons enter a supermarket. From past experience, it is known that 25% of the people entering the supermarket make a purchase. Let X be the number of customers who will make a purchase. 1. What are the possible values of the random variable X? 2. Construct the probability distribution of X. X P(X=x) 3. What is the probability that

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Activity:
Eight persons enter a supermarket. From past experience, it is known that 25% of the people entering the supermarket
make a purchase.
Let X be the number of customers who will make a purchase.
1. What are the possible values of the random variable X?
2. Construct the probability distribution of X.
X
P(X=x)
3. What is the probability that
a) at least four persons will make a purchase?
b) two or three persons will make a purchase?
c) at most two persons will make a purchase?
4. Out of the eight persons entering a supermarket, how many are expected to make a purchase?
5. Compute the standard deviation of the random variable X.

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