In testing a new vaccine, researchers found that 30% of all patients using it will have a mild side effect. A random sample of 20 patients using the vaccine is selected. Find the probability that more than 8 patients will have this mild side effect.

The probability that more than 8 patients will have this mild side effect is _. (Round to three decimal places as needed.) Answer:Given: Probability of success (p)=0.30 Sample size (n)=20 Solution:The probability that more than 8 patients will have this…

In testing a new drug, researchers found that 25% of all patients using it will have a mild side effect. A random sample of 16 patients using the drug is selected. Find the probability that more than 7 patients will have this mild side effect.

The probability that more than 7 patients will have this mild side effect is ___. (Round to three decimal places as needed.) Answer:Given: Probability of success (p)=0.25 Sample size (n)=16 Solution:The probability that more than 7 patients will have this…

A vendor at a farmer’s market sells two kinds of mini-cakes: cakes with chocolate icing and cakes with vanilla icing. From past experience, 65% of the customers purchase the cakes with chocolate icing. During the first hour, 18 customers purchased the mini-cakes.

Determine the probability that exactly 12 of the 18 customers chose the chocolate cakes. Answer: Given information: The probability of success (p)=0.65 Sample size (n)=18 Solution: → The probability that exactly 12 of the 18 customers chose the…

Take a guess: A student takes a multiple-choice test that has 15 questions. Each question has three choices. The student guesses randomly at each answer. Let X be the number of questions answered correctly. Round the answers to at least four decimal places. Find the probability that X is equal to 7:

Answer:Given: Probability of success (p)=13=0.3333 Sample size (n)=15 Solution:The probability that x is equal to 7:P(x=7)=(157)⋅0.33337⋅(1–0.3333)15−7=0.1148 Final Answer:The probability that…