1. A psychology class conducted an experiment. In this experiment 15 children were asked to solve a puzzle independently in a fixed amount of time.  The class is interested in determining the number of children who will succeed in solving the puzzle.  Under the assumption that the probability of completing the task is as low as 0.1 for each child, determine the probabilities of the following events: a) only 2 of the 15 children will solve the puzzle b) at most 2 will solve the puzzle

Q: Three percent of the students at Lincoln High are in orchestra, 5% are in band, and 1% are in both.…

A: It is given that P( orchestra ) = 3% = 0.03P( band ) = 5% = 0.05P( orchestra and band ) = 1% = 0.01

Q: A monk crossbred plants, which can have purple or white flowers, and obtained 600 plants with white…

A: The number of white flower plant are 600. The number of purple flower plant are 250.

Q: Hospital records show that 75% of the patients will recover from a certain disease. i. What is the…

A: According to the provided information, The probability that patients will recover from a certain…

Q: Machines A and B produce 40% and 60% respectively of the production of a component intended for the…

A: Conditional Probability: Let A and B be two events with P(A) > 0. Then the conditional…

Q: A set of coins is flipped. 25% of the coin set has a 20% chance of landing on heads. The other 75%…

A: Given that the set of coins are divided into two types.

Q: Suppose 2% of cotton fabric rolls and 3% of nylon fabric rolls contain flaws. Of the rolls used by a…

A: From the given information Let C be the event that selected roll is cotton fabric and Let N the…

Q: In a large town, previous records indicate that 40% of all high school graduates go to college. 30…

A: From the given information, n=30 and p=0.40.

Q: 75% of the students are commuters, 45% are female, and 30% are female commuters. If selected at…

A: Consider the following events, C=selected student is a commuterF=selected student is a female Given…

Q: A and B are two independent events. The probability that both occur simultaneously is 1/6 and the…

A:

Q: The nursing department of a college surveyed two hundred graduates from their programs about their…

A: Given Data: P( bachelor's degree)=0.45 P( working in nursing)=0.85 P( in nursing and bachelors)=0.4

Q: A jewelry supplier has a supply of earrings which are  10% platinum.  A store owner orders 5 sets of…

A:

Q: A test consists of five questions, and to pass the test, a student has to answer at least three…

A: Number of question in a test is 5. Number of options for one question is 3.

Q: When a customer enters a drugstore, the probabilities that he or she will have 0, 1, 2, or 3…

A: 1. Given: The probability of persons having 0 prescription is 0.55, 1 prescription is 0.30, 2…

Q: A certain neurotoxin has a 60% probability of killing a person depending on the host’s reaction and…

A: Let us denote  X=the number of people who survive  n=number of trials=25 Probability of killing=…

Q: suppose that a factory produces light bulbs and the percentage of defective lightbulbs is 3.5%. if a…

A: Probability of  defective lightbulbs(p)=0.035sample ssize(n)=550Let "x" be the no. of defective…

Q: In a game of tennis, Ahmed has a 60% probability to win any given point against Hamad. The players…

A: Conditional probability is an event or outcome occurring, based on the occurrence of previous event…

Q: A magician's hat contains black rabbits and white rabbits. The magician selects two rabbits without…

A:

Q: Franklin has opened his bag of plain M&Ms and counted each color. He has determined that if someone…

A: It is given that. Red =10% Blue=15% Yellow=28%

Q: State why. The probabilities choose one be negative. The sum of the probabilities of the events…

A: Probability of an event is a number between 0 and 1

Q: find the probability that only three have traveled to Italy.

A: Let p be the probability that a tourist have traveled to Italy. Given that p = 0.55 Let X denotes…

Q: Suppose that 42% of people are on low calorie diet. If you pick three people at random, what is the…

A:

Q: Suppose Eman has an 85% chance of passing each time he takes a quiz. What is the probability that he…

A: The probability of passing the quiz is 85% or 0.85 Therefore the probability of failing the quiz is…

Q: A group of friends plans to have a picnic in the park, but the weather forecast shows a 60% chance…

A:

Q: The nursing department of a college surveyed two hundred graduates from their programs about their…

A: Let define the events: A = bachelor's degree B =Working in nursing The known probabilities are,…

Q: An investor owns three common stocks. Each stock, independent of the others, has equally likely…

A:

Q: In a game of blackjack played with one deck, a player is initially dealt 2 different cards from the…

A: The probability can be calculated as, Probability is = P (getting an ace from 4 and other card from…

Q: There are four major types of​ blood: A,​ B, AB, and O. Suppose 42​% of a certain population has…

A: Here use basics of probability concept

Q: In a box of assorted cookies, 36% contain chocolate and 12% contain nuts. Of those, 8% contain both…

A: a. The event C defined as the cookie contain chocolate, event N defined as the cookie contain nuts.…

Q: A fair die is to be thrown eight times. Determine the probabilities of: (i) obtaining three 3s and…

A:

Q: We randomly select a batch of 40 computer disks for shipment. The probability of selecting a good…

A:

Q: John is having a dinner at a restaurant, which sells 3 kinds of dishes, A, B, and C. The…

A: