In a certain community, the probability that a family owns a dog is 24%. Given that a family owns a dog, the probability that they also own a cat is 25%. It is also known that 33% of all the families own a cat What is the probability that a randomly selected family owns a cat? What is the conditional probability that a randomly selected family owns a dog given that it owns a cat? Hint Write out each of the probabilities you've been given in probability notation, as well as the probabilities you need to find. You may need to find a joint probability (P(A and B)) before you can answer the 2nd question. It may help to draw a Venn Diagram. Be sure to give your answers to at least 4 decimal places.

Q: use the probability of the union of two events, independent, or dependent events in solving the…

A: The union of two sets are calculated by adding two event and subtracting the intersection of two…

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A: Here Given  Total Number of puppies=8 No of white females=1

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A: According to the provided data,

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

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A: The probability that your classmate likes ice cream is 70%. the probability that they like Norwegian…

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Q: A couple has three children. Assuming each child has an equal chance of being a boy or a girl, what…

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A: The probability of a person driving while intoxicated P(A)=0.32 The probability of a person having a…

Q: the school are female. Of ride. Of the males, 54% Brentwood student at udents gets a ride to

A: E1: Male   P(E1) = 0.48 E2: Female  P(E2) = 0.52 A: Walk to School P(A|E1) = 0.54 P(A|E2) = 0.4

Q: Two dice, one green and one yellow, are rolled. Find the conditional probability. The sum is 12,…

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Q: A couple is planning to have 6 children. If the true probability of a baby girl being born is 0.521,…

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Q: There is a 72% chance you will be able to get tickets to a concert to see your favorite band in the…

A: Given problem Given that   There is a 72% chance you will be able to get tickets to a concert to…

Q: Your favorite board game used a spinner with three equally possible outcomes: red, yellow, or blue.…

A: There are three colors which are equally possible. So, the probability of getting red = 13the…

Q: As you shop for dog treats, a seller advertises that 95% of veterinarians recommend their treats.…

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Q: An assembly line has two inspectors. The probability that the first inspector will miss a defective…

A: If the defective item passes both inspectors then that means that it was missed by the first…

Q: The probability that your classmate likes ice cream is 80%. And the probabability that they like…

A: Given: The probability that your classmate likes ice cream is 80%. And the probability that they…

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Q: The probability that a student owns a car is 0.72. The probability that a student owns a computer is…

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

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Q: Andy is a restaurant owner. He believes 79% of his customers are satisfied with the food quality of…

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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: In a class of students, the following data table summarizes how many students have a brother or a…

A: Solution

Q: who is more likely to attend both activities?

A: here use concept of independent event if A and B independent events then p(A and B ) = p(A).p(B)

Q: Suppose the events A, B, and C are mutually independent, and P(A) = 0.28, P(B) = 0.37, and P(C) =…

A: When the events A, B and C are multually independent then the probability that none of the events…

Q: Engineer wishes to investigate the punctuality of electric trains by considering a number of train…

A: Let  B1 be the event had a destination for new work  B2 be the event had a destination for chicago…