Of all the registered automobiles in Colorado, 8% fail the state emissions test. Twelve automobiles are elected at random to undergo an emissions test. a. Find the probability that exactly four of them fail the test. b. Find the probability that fewer than four of them fail the test. c. Find the probability that more than three of them fail the test.

Q: Garage Space The probabilities that a randomly selected home has garage space for 0, 1, 2, or 3 cars…

A: Properties for discrete probability distribution:

Q: The probability that a lab passes a health and safety inspection is 97%.  A health and safety…

A: Let X: number of labs.X has binomial distribution because trials are finite, trials are independent…

Q: t b

A: Let A be the event such that both light bulbs failed the test. Let B be the event such that both…

Q: LeBron James makes 73% of his freethrow attempts. Calculate the probability that LeBron makes…

A: Introduction: A Binomial is a type of distribution which has two possible outcomes. i.e., either…

Q: Find the indicated probability.  In one town, 39% of all voters are Democrats. If two voters are…

A: From the given information, it is clear thatThe probability that all voters are democrats= 0.39.That…

Q: You and your two friends are in a Geology class with 30 people altogether. Five people are selected…

A:

Q: 52% of dogs enjoy biting the mailman.  Select 5 random dogs.  Find the probability at least 1 enjoys…

A:

Q: A fruit bowl contains 4 green apples and 7 red apples. What is the probability that a randomly…

A: Given: Fruit bowl contain 4 green and 7 red apples.

Q: the probability that no students miss the weekly quiz. b. Find the probability that exactly 1…

A: here x and p(X) are givenwe have to find out the given probabilities…

Q: Find the indicated probability. A class consists of 27 women and 32 men. If a student is randomly…

A:

Q: Five coins are thrown. Determine the probability of getting three Tails.

A: Let p be the probability of getting tail. Then p = 0.5 Let X denote the number of tails in throwing…

Q: Zion Williamson makes 65% of his freethrow attempts. Calculate the probability that he makes exactly…

A: The objective of this question is to calculate the probability that Zion Williamson makes exactly 6…

Q: An urn contains nine ​red, seven white, and five blue marbles. Three marbles are selected at random…

A: It is given that, An Urn contain nine red, seven white and five blue marbles. Total number of…

Q: The probability that a person living in Manila owns an air-conditioner is 0.04. find the probability…

A: The probability distribution for the nth success on the xth trail is,Where  n is the number of…

Q: Given the probability that a randomly selected student in a class is female is 56%, determine the…

A: Given, P(A student is a female)=0.56

Q: A drawer contains only green marbles . After 5 red marbles are added to the drawer,the probability…

A: Suppose, A drawer contained X green marbles originally. Now, 5 red marbles are added.   Number of…

Q: In a certain barangay, 80% of the population have cellphone. Two people from the barangay were…

A: Given: In a certain barangay, 80% of the population have cellphone. i.e., p=0.8 Two people from the…

Q: A special deck of 20 cards contains 12 black cards and 8 green cards. One of the cards has a bent…

A:

Q: Thanos gives you a bag of colored glowing stones. There are 5 red stones, 6 green stones and 12 blue…

A: Given,

Q: A jar contains 8 white, 11 blue, and 17 red marbles. If one marble is drawn at random from the jar,…

A: Answer Given,White marble = 8Blue marble = 11Red marble = 17Total marbles = 8+11+17 = 36

Q: When women turn 40, their gynecologists typically remind them that it is time to undergo mammography…

A: The data is given as:     Breast Cancer No Breast Cancer Total Positive Mammogram 720 6944 7664…

Q: A desk drawer contains: 4 pairs of scissors, 10 paperclips, 5 rubberbands, 6 pens, 8 pencils, and 2…

A:

Q: A jar contains 77 white, 99 blue, and 1616 red marbles. If one marble is drawn at random from the…

A: (1)   Obtain the probability that the marble drawn is white or blue.   The probability that the…

Q: Determine the probability of having 2 girls and 3 boys in a 5-child family. State any assumptions…

A: Probability is the measure of statistics which provide the chance of event like to be happen. It is…

Q: In a group of 78 people; 24 drink tea and 31 drink coffee. Find the probability that a person picked…

A: 24 - drink tea 31 - drink coffee total 78 people select at random

Q: A dealer's profit, in units of $1000, on a new automobile is a random variable X having density…

A:

Q: Find the probability that a randomly selected student is an accounting major. A. Find the…

A: The given data is summarized in the following table:   Accounting majors Non-Accounting majors…

Q: The probability that a person in the US has blood type B is 9 %. A sample of five people is…

A:

Q: The average number of field mice per acre in a 6-acre wheat field is estimated to be 13. a. Find…

A: Given that The average number of field mice per acre in a 6-acre wheat field is estimated to be 13.…

Q: 9% of all Americans live in poverty. If 38 Americans are randomly selected, find the probability…

A: It is given that  Probability of success, p = 9% = 0.09 Sample size, n = 38 X ~ Bin( 38, 0.09 ) The…