# Desite its name, Zippy Pizza delivers only 40% of its pizzas on time. a) What is the probability that its first four deliveries will be late on any ..given day? b) What is the expectd number of...

Desite its name, Zippy Pizza delivers only 40% of its pizzas on time.

a) What is the probability that its first four deliveries will be late on any ..

given day?

b) What is the expectd number of pizza deliveries before one is on time?

Explain please.

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Expert Answers

samhouston | Certified Educator

If 40% of the pizzas arrive on time, then 60% of the pizzas will be late.

Change the percent to a decimal: 60% = 0.6

Four late pizzas in a row = 0.6^4 = 0.1296

a) The probability that the first four deliveries will be late is 12.96%.

b) 40% of the pizzas arrive on time. 40% is equal to 2/5. Therefore, it is expected the first and second pizzas will be late, and the third pizza will be on time.