4. In a random sample of male and female graduates of the New York School for the Arts between the ages of 22-35 you know that: the probability a man is a ballet dancer is 0.28 • the probability a woman is a musical performer is 0.42 • the probability a man is a musical performer, given that he's a ballet dancer is 0.55 • the probability a woman is an actress is 0.55 the probability a woman is an actress, given that she's a musical performer is .67 Compute the following probabilities (show work): A. B. C. P (man is a ballet dancer and a musical performer) P (woman is an actress and a musical performer) P (woman is an actress or a musical performer)

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A: Givensample size(n)=12p=14=0.25                 (i.e., 1 correct choice in 4 choices)Let "x" be the…

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A: From the provided information, Total cards in deck = 52 There are 4 suits (diamond, club, spade,…

Q: Write priori and subjective definitions of probability.

A: Prior probability: A prior probability also known as classical probability refers to the likelihood…

Q: 2. Two dice are rolled and their sum recorded. What is the probability of rolling a sum that is less…

A: Given that, Two dice are rolled and their sum recorded.

Q: The probability that event A will occur is P(A) = 0.64. What is the probability (in decimal form)…

A: Here you're given that the probability that event A will occur . And probability of this events is…

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A: P(hit pad) = p = 0.34 n = 7  ( sample size) P(x=X) = nxC*px*qn-x               - binomial…

Q: Rain As the author is creating this exercise, a weather reporter stated that there is a 20% chance…

A: Given that,There is a 20% chance of rain tomorrow.

Q: In a certain neighbourhood, 32% of homeowners have a cat, 45% have a dog and 40% have neither. We…

A:

Q: Emily rolls a pair of standard dice. What is the probability that she gets a sum of 8 or at least…

A: Let S be the sample space of two dice throw together  S={ (1,1) (1,2) (1,3) (1,4) (1,5) (1,6)  (2,1)…

Q: A and B are independent, P(A) = .5, P(B) = .5, Find the probability of the union of A, B

A:

Q: C. In page 6 of this lesson, we gave an example that included a list of the eight outcomes that are…

A: C) Sample space , S =…

Q: a) find the probability of event A (b) find the probability of event B  (c) find the probability…

A: It is given that there is a pair of dice. One is in green color and one is in red color. The random…

Q: Define empirical and theoretical probability. Describe a situation where empirical probability would…

A: Empirical probability: Empirical probability is also called experimental probability. It doesn't…

Q: You roll a dice two times, what is the probability of rolling a six on the first roll and an odd…

A: we will use the definition of probability to solve this.

Q: When rolling 10 dice, what is the probability of rolling 7 sixes? How does this compare to the…

A: The probability of getting 7 sixes in rolling of 10 dice is lower than probability of getting 5 or…

Q: Question 2: Find the probability of getting a number less than 5 when a dice is rolled by using the…

A: If the probability of getting selected for each outcome is equal then such outcomes can be termed…

Q: What is the probability you draw two cards of the same color from a standard 52 card deck you are…

A: in a pack 52 cards we 26 black cards and 26 red cards.

Q: Your sock drawer has 2 red socks and 4 green socks scattered in it. In a hurry to get to Finite, you…

A:

Q: Your neighbor has two children. You learn that one of them is a boy, what is the chance that the…

A:

Q: 3. I have a quarter that I bought from a magic shop. When I get home, I flip the quarter three times…

A: I flip the quarter three times.Sample space: S = (TTT, TTH, THT, HTT, HHT, HTH, THH, HHH).p be the…

Q: Question 12 A bag contains 27 white balls and 47 red balls. Three balls are drawn, without…

A: 12) Given that, Number of white balls = 27 Number of red balls = 47 Total number of balls = 74…

Q: that the disease is actually present? The probability is (Round to three decimal places as needed.)

A: It is given thatP( disease) = P(d) = 0.04P(+ve/d) = 0.90P(+ve/d') = 0.02

Q: Experts calculate the probability of a particular horse winning the Kentucky Derby to be PP(win) =…

A: It is given that the probability of particular horse winning the Kentucky Derby is 0.35. That is,…

Q: 4.4-7. Let f(x, y) = 4/3, 0 0. (b) Find P(X>Y).

A: Given,joint pdf of random variables X and Y is,f(x,y)=430<x<1,x3<y<10elsewhere

Q: What are the three approaches to assigning probability? Provide some examples of how these would be…

A: The three approaches to assigning probabilities are: Classical approach, Relative frequency approach…

Q: How many committees can be formed by choosing 12 men from an organization of a membership of 20 men?

A:

Q: I'm having a hard time understanding this question could you help me, please?

A: Probability of Getting head in a first throw = ½Flipping a coin second time is an independent event,…

Q: See picture also   The odds in favor of Frank McKinnis winning a hot dog eating contest are 5 :7.…

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Q: In an experiment, college students were given either four quarters or a $1 bill and they could…

A:

Q: Question 13 A bag contains 20 white balls and 41 red balls. Four balls are drawn, without…

A: There are 20 white balls. n(W)= 20  Total res balls are 41. n(R)=41  Total number of balls are N=…

Q: Suppose we have two probability events E and F. Which rule is used to find the probability of E or F…

A: We have given two probability events P(E) and P(F)

Q: Need help with probability I don't understand.

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Q: 22. In shooting arena there are 5 different guns. Probability of hitting aim from gun1 is 0.5.…

A: We have to find given probability:

Q: 4.1-1. For each of the following functions, determine the constant c so that f(x, y) satisfies the…

A: for the given joint pmf, we need to find the value of constant 'c'.