A supermarket sells two flavors of cereal: a fruit flavor and a chocolate flavor. In a market survey, the event that a customer says he or she is willing to buy the fruit flavor is considered a success. Records for the past 5 years show that an average of 71% of the customers buy the fruit-flavored cereal. If 20 cereal buying customers walk into the supermarket, what is the probability that at the most 19 of them will buy the fruit-flavored cereal?

Hint: (1 – P(X 19)

Question

A supermarket sells two flavors of cereal: a fruit flavor and a chocolate flavor. In a market survey, the event that a customer says he or she is willing to buy the fruit flavor is considered a success. Records for the past 5 years show that an average of 71% of the customers buy the fruit-flavored cereal. If 20 cereal buying customers walk into the supermarket, what is the probability that at the most 19 of them will buy the fruit-flavored cereal? 

Hint: (1 – P(X > 19)

anonymous · Answer

@satellite73

kropot72 · Answer

The probability that exactly 20 customers buy fruit-flavored, P(X > 19) is given by:
$$\large P(X >19)=0.71^{20}$$

anonymous · Answer

@kropot72  thanks so much!

kropot72 · Answer

Therefore, making use of the hint in the question, the probability that at the most 19 of them will buy the fruit-flavored cereal is given by:
$$\large P(X \le19)=1-0.71^{20}=you\ can\ calculate$$

anonymous · Answer

A game involves rolling a fair six-sided die. If the number facing upward on the die is a whole number multiple of three, the player wins an amount equal to the number on the die times $20. If the number is not a multiple of three, the player gets nothing. What is the expected value of a player's winnings on each roll?

anonymous · Answer

one more question

anonymous · Answer

don't answer it just walk me through it . please.

kropot72 · Answer

Please post as a new question.