Bananas have an average rotting rate of 0.1%. A banana shipping company boxes bananas 48 to a box. Quality control randomly chooses a box and then chooses 4 bananas. If any of the 4 chosen bananas are rotten, the entire box is discarded. What is the probability that a randomly chosen box of bananas is discarded by quality control?

Bananas have an average rotting rate of 0.1%. A banana shipping company boxes bananas 48 to a box. Quality control randomly chooses a box and then chooses 4 bananas. If any of the 4 chosen bananas are rotten, the entire box is discarded. What is the probability that a randomly chosen box of bananas is discarded by quality control?

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

See similar textbooks

Similar questions

A biologist estimate that 70% of the deer carry a type of tick. For a sample of 300 deer random, what is the chance that 216 or fewer deer have this tick?
The probability that an adult possesses a credit card is .65. A researcher selects two adults at random. The probability that the first adult possesses a credit card and the second adult does not possess a credit card.
A financial services committee had 60 members, of which 10 were women. If 9 members are selected at random, find the probability that the group of 9 would be composed as the following. a. 6 men and 3 womenwomen b. 7 men and 2 women
Suppose that 15% of the population is left-handed. Find the probability that in group of 50 individuals there will be exactly 5 who are left-handed. Select one: O a. 0.3336 O b. 0.0 c. 0.45 O d. 0.1072
One manufacturer claims that only 10% of its total production is defective. 28 items are randomly selected for inspection. Find the probability of finding 6 or more defective items in the sample.
On a statistics exam, 8 students received an A, 4 students received a B, and 6 students received a C. If a single student is picked at random, what is the probability that they received an A or C? Provide the final answer as a fraction.
It has been found from experience that there is an average of four faults per 50 metres of cloth produced by a linen factory. If we randomly select 50 metres of cloth, what is the probability that there will be more than two faults? Interpret your answer.
In a classroom of 27 students, there are 17 girls and 10 males. Mr. Stover wants to randomly select a student but states that the probability of selecting a female student is a lot larger than selecting a male student. Is this assumption correct? Explain your answer.
In a large population, 68 % of the people have been vaccinated. If 4 people are randomly selected, what is the probability that AT LEAST ONE of them has been vaccinated? Give your answer as a decimal (to at least 3 places) or fraction.
A dormitory on campus houses 100 students. 42 are male, and 40% are KINE majors. A student is selected at random. The probability of selecting a female, and a KINE major? Provide either a percentage (1 decimal) or a fraction with three decimal places. Answer:
After high school graduation you decide to become a chicken farmer. You experiment with several types of packaging, but even with the most secure cartons, 4% of your eggs break during shipping. Assuming that all eggs have the same probability of breaking, what is the probability that a carton of 12 eggs has at most 2 that are broken?
A bowl contains 24 pieces of fruit, 6 oranges and 18 apples. Two pieces of fruit are randomly selected without replacement. The random variable X = # of apples selected. Determine the probability distribution for the random variable X.