Question

A candy machine holds 500 pieces of candy, 20% of which are blue. Customers get an SRS of 4 pieces of candy per purchase from this machine. Let B = the number of blue candies a customer gets in a purchase from a full machine. Which of the following would find P(B = 1)? Choose 1 answer:

A (0.20)(0.80)³
B (500 4) (0.20)(0.80)³
C. (500 4 ) (0.20)³ (0.80)
D. (4 1) (0.20)³ (0.80)
E. (4 1) (0.20)(0.80)³

Answer 1

The probability of getting exactly 1 blue candy in a purchase from a full machine can be found using the formula for the probability of an event. The correct option to find this probability is D. (4 1) (0.20)³ (0.80).

Step-by-step explanation:

To find P(B = 1), we need to calculate the probability of getting exactly 1 blue candy in a purchase from a full machine. Since 20% of the candies are blue, the probability of getting a blue candy in a single purchase is 0.20. Using the formula for the probability of an event (P(B = k) = (n choose k) * p^k * (1-p)^(n-k)), we can plug in the values to find the probability. The correct option to find P(B = 1) is D. (4 1) (0.20)³ (0.80).