Let x determine a random variable, and use your knowledge of probability to prepare a probability distribution. A family has three children and the number of girls is recorded. (Assume an equal chance of a boy or girl for each birth.) Complete the probability distribution. x P(x) (Type an integer or a simplified fraction.) 2 ☐ 3118

Q: Throw one thousand dice at the same time and write and draw the probability distribution for the sum…

A: Let x denote the face number of a die. Then, x can take values 1,2,3,4,5 and 6. Suppose in 1000 dice…

Q: 4 As in Problem 7.6.3, let X₁,..., X be a set of independent random variables with a U(0, 0)…

A: A random sample X1,...., Xn of size 'n' is taken from a distribution U0,θ. The PDF of X is given by:…

Q: The market research team of a company requires some household data from four different cities. The…

A: The market research team of a company requires some household data from 4 different cities. The tea…

Q: If A and B are mutually exclusive and the P(A) = 0.3 and P(B) = 0.4. %3D Find the probability of A…

A: We have given that,  P(A) = 0.3 and P(B) = 0.4 Then,  We will find the probability of A and B if the…

Q: A burglar alarm system has 6 fail-safe components. The probability of each failing is 0.03. What is…

A: Given: n = 6 P= 0.03

Q: Two dice are thrown, find the probability of both dice shows four

A: Two dice are thrown, then sample…

Q: A ball is selected at random from a bag containing a red ball, a blue ball, a green ball, and a…

A: Given,no.of red balls=1no.of blue balls=1no.of green balls=1no.of white balls=1Total no.of balls =4

Q: A quiz has 10 multiple choice questions with 3 choices for each question. Answer the following for…

A: Given sample size(n)=10Probability of getting correct answers(p)=13         (one correct answer from…

Q: In a game a die is thrown, and if 4, 5, or 6 comes up you win; otherwise for 1, 2, or 3 you lose.…

A: Outcome when a die is thrown : {1,2,3,4,5,6} 4,5,6 is symbol of win  1,2,3 is symbol of lose

Q: We know that on a random day during the summer, the probability that a student jogs is 0.65, the…

A:

Q: When 2 dice are rolled, find the probability of getting a sum less than 5 or greater than 8 O a.…

A: The probability of getting a sum less than 5 or greater than 8 = 0.4445

Q: The data represent the results for a test for a certain disease. Assume one individual from the…

A: The data represent the results for a test for a certain disease. Assume one individual from the…

Q: In a city, 6% of the population have contracted a particular disease. A test for this disease is…

A:

Q: (a) A red card P (red card) = %3D

A: Total number of cards in a deck = 52 Number of red cards = 26

Q: Find the indicated probability. P(A or B) =| (Simplify your answer. Type an integer or a decimal.)…

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Q: Provide an appropriate response. Assume that male and female births are equally likely and that the…

A:

Q: The table shows the number of deaths in the U.S. in 2020 due to a variety of causes. The population…

A: From the provided information, The table of number of deaths in US in 2020 due to a variety of…

Q: Design a simulation that you can use to model the situation. Then use your simulation to find the…

A: To estimate the experimental probability that exactly 1 out of the next 2 meals is overcooked, we…

Q: A bicycle factory runs two assembly lines, A and B. 95% of line A's products pass inspection and 88%…

A: From the provided information, 50% of the factory’ bike come off assembly line B that is P(B) = 0.5…

Q: The data represent the results for a test for a certain disease. Assume one individual from the…

A: The data represent the results for a test for a certain disease.   Yes No Total Positive 137 18…

Q: Find the probability of the indicated event if P(E)=0.30 and P(F) = 0.40. Find P(E or F) if P(E and…

A: From the provided information, P (E) = 0.30 and P(F) = 0.40 And P (E and F) = 0.20

Q: : The number of classes (X) a student takes in a given semester follows the following probability…

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Q: The probability of an event is given. Find the odds in favor of the event.   0.65

A: We know that odds in favor of the event gives the ratio of the number of ways an event can occur to…

Q: Find the probability of getting 6 face cards (king, queen, or jack) when 6 cards are drawn from a…

A: We have given that the 52 cards of a standard deck. Total face card = 12

Q: Use the multinomial formula and find the probabilities for each. Round your answers to at least…

A: Given information,n = 6, X1 = 1, X2 = 2, X3 = 3, P1 = 0.4, P2 = 0.3, P3 = 0.3Using formula…

Q: 78. A bag contains 6 blue marbles, 4 red marbles, and 2 white marbles. If a marble is selected from…

A:

Q: Find the probability of the indicated event if ​P(E)=0.30 and ​P(F)=0.45. Find​ P(E or​ F) if​ P(E…

A: Solution: From the given information,

Q: he table below shows results for a cancer screening test.   Positive Test Results (Test shows…

A:

Q: Determine if each event is independent or dependent.  Then find the probability. There are two…

A: The probability of the one traffic light is red is 0.50.

Q: Tom exercises shooting. He is allowed to make 3 shoots. For every shoot Tom makes, Probability of…

A: Given data: The total number of shoots is n=3. The number of shoots exactly hit by Tom is r=2. The…