Question

Match the described probability with the type of probability.

It is estimated that 75% of a grapefruit crop is good. The other 25% have rotten centers once the grapefruit is cut open. Therefore, the grapefruit can either be good or bad for consumption. You randomly select 10 grapefruits and are asked to find the probability that are exactly 5 are good.

A vending machine automatically pours soft drinks into cups. The amount of soft drink dispensed into a cup is normally distributed with a mean of 7.6 ounces and a standard deviation of 0.4 ounce. You are asked to estimate the probability that the machine fills the cup more than 8 ounces.

A botanist has developed a new hybrid cotton plant that can withstand insects better than other cotton plants; however, there is some concern about the germination of seeds from the new plant. Of 3000 seeds planted, 2430 germinated. You are asked to estimate the probability that a seed will germinate.

a. Binomial b. Normal c. Empirical

Answer 1

It is estimated that 75% of a grapefruit crop is good. The other 25% have rotten centers once the grapefruit is cut open. Therefore, the grapefruit can either be good or bad for consumption. You randomly select 10 grapefruits and are asked to find the probability that are exactly 5 are good.
This is binomial

A vending machine automatically pours soft drinks into cups. The amount of soft drink dispensed into a cup is normally distributed with a mean of 7.6 ounces and a standard deviation of 0.4 ounce. You are asked to estimate the probability that the machine fills the cup more than 8 ounces.
This is normal

A botanist has developed a new hybrid cotton plant that can withstand insects better than other cotton plants; however, there is some concern about the germination of seeds from the new plant. Of 3000 seeds planted, 2430 germinated. You are asked to estimate the probability that a seed will germinate.
This is Empirical