The weights of medium oranges packaged by an orchard are Normally distributed with a mean of 14 ounces and a standard deviation of 2 ounces.Ten medium oranges will be randomly selected from a package.What is the sampling distribution of the number of oranges in the sample that weigh more than 14 ounces?
A)N(14,2)
B)N(14,0.63)
C)B(14,0.2)
D)B(10,0.5)

Question

Quizplus · Accepted Answer

The sampling distribution of the number of oranges weighing more than 14 ounces follows a binomial distribution because each orange either weighs more than 14 ounces or it does not, which is a binary outcome. Since there are 10 oranges and each has a 0.5 probability of weighing more than the mean (14 ounces) in a normal distribution, the correct answer is B(10,0.5).

The Weights of Medium Oranges Packaged by an Orchard Are