If a fair coin is tossed 3 times, find the probability that if at least 1 Head occurs, then exactly 1 Head occurs.

Q: . A data set is Gaussian with an average of 3 and a standard deviation of 2. a. What percentage of…

A: Hello! As you have posted 2 different questions, we are answering the first question. In case you…

Q: Three houses are available in a locality. Three persons apply for the houses. Each applies for one…

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Q: Compound Random experiment: Flip a penny, draw a marble from a bag containg 3 red, 5 orange, and 2…

A: From given data : 3 red marble  5 orange marble 2 green marble  total 10 marble

Q: Consider a political discussion group consisting of 10 Democrats, 8 Republicans, and 3 Independents.…

A: No.of democrats = 10 No.of Republicans = 8 No.of independents = 3 Total no.of members = 21    (i.e.…

Q: C. If the luggage makes connection, what is the probability that the flight was on time?

A: let  O = event that the first flight is on time; L = event that the first flight is late; C = event…

Q: From 6 positive and 8 negative integers, 4 integers are chosen at random and multiplied. Find the…

A: 6 positive integers 8 negative integers __________________ 14 total integers   select 4 at random…

Q: Show Consider the following hypothetical situation. Grade data indicat4es that on the average 27% of…

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Q: A movie site investigates the types of movie their customers buy, they record the cus- tomer's age…

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Q: The mean number of items purchased by shoppers at a grocery store is strongly skewed right with a…

A: Hey there! Thank you for posting the question. Since there are multiple questions posted, we will…

Q: Example: A (pseudo) random number generator on the computer can give a sequence of independent…

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Q: Lightbulbs of a certain type are advertised as having an average lifetime of 750 hours. The price of…

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Q: A random sample X₁, X2, X3,..., X100 is given from a distribution with known varia ar(X₂) = = 81.…

A: Given that the sample size is n=100 Population variance is VarXi=81 a) From the central limit…

Q: Suppose X and Y are continuous random variables with the following joint density function a.…

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Q: Suppose a die is tossed 5 times. What is the probability of getting exactly 2 fours?

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Q: Suppose you want to choose a sample of 50 students from a school of 400. Explain why the following…

A: Given data suppose you want to choose a sample of 50 students from a school of 400

Q: for （a）, I think it should be 3/5

A: Given that, McDonald's Happy Meals are child-sized burger meals that come with a toy. Assume that…

Q: Three cards are drawn from a 52-card deck. Find the probability of the following. (a) Exactly 2…

A: Hello! As you have posted more than 3 sub parts, we are answering the first 3 sub-parts.  In case…

Q: 2. Suppose that earthquakes occur in a certain region of California, in accordance with a Poisson…

A: Given that, The earthquakes occur in a certain region of California, in accordance with a Poisson…

Q: Suppose we want to choose 2 objects, without replacement, from the 4 objects pencil, eraser, desk,…

A: (a)   Determine the number of ways of selecting 2 objects from the 4 objects.   The number of ways…

Q: Page 327, 5.1.7.* Let X₁, ...,Xn be iid random variables with common pdf f(x) exp{-(x-20)}, x > 20,-…

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Q: 10 persons in a room are wearing badges marked I through 10. 3 persons are chosen at random and…

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Q: 1. How many one-one functions are there from a set with m elements to a set with m elements?

A: Note: Hi! Thank you for the question. As you have posted two independent questions, according to our…

Q: In a flow system, the arrival rate to a particular station is 40 units per hour. The station has 4…

A: Given:-                 Average rate of arrival λ = 40 / hr.                 Average rate of service…

Q: You have relatives coming for dinner this weekend.  The probability that your uncle Josiah will show…

A: given data  P(uncle josiah  show up)  = 0.38 P(aunt Beatrice show up) = 0.27 P(both show up) = 0.1…

Q: Question 5 If A and B are independent events, and P(A) = 0.33 and P(B) = 0.54, find P(BA'). Express…

A: Solution

Q: In a simultaneous throw of two dice, what is the probability of getting a total of 7 ?

A: From the provided information, Two dice are thrown simultaneously. Total outcomes = 36

Q: (a) A structure consists of 100 column footings. Suppose the settlement of each footing is…

A: Given that a structure consists of 100 column footings and the settlement of each footing is…

Q: A card is drawn randomly from a deck of ordinary playing cards. You win $10 if the card is a spade…

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Q: bag contains three red marbles, one green one, one lavender one, three yellows, and two orange…

A: given data, a beg contains3- red marbles 1- green 1- lovender3- yellows2- orange 10- total marbles

Q: d marbles and 18 blue marbles.  You reach in and pick 4 marbles at random (without replacement).…

A: given data, 15-red marbles 18-blue marbles 33- total marbles You reach in and pick 4 marbles at…

Q: A customer calling a call center spends an average of 45 minutes on hold during the peak season,…

A: Given Mean=45 Standard deviation=12

Q: A room contains 3 brown, 5 black and 4 white chairs. Two chairs are picked and are put in the lawn.…

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Q: Using the displays in part ‘a’ sheet 2, compare and contrast the two data sets

A: Given information: The graphs of two datasets are given.

Q: There are 10 women and 3 men signed up to join a salsa dance class. In how many ways can the…

A: Given,no.of women=10no.of men=3

Q: What is a sampling distribution of a sample statistic? Choose the correct answer below. OA. The…

A: Sampling distribution: Sampling distribution statistically means the distribution of a function that…

Q: A pair of dice is rolled. Find the probability of rolling a sum not less than 6

A: roll a fair of dice P(sum not less than 6) = ? roll a single dice : outcome : {1,2,3,4,5,6] total…

Q: a. With the aid of two tables for the two data sets, determine the following: i. Mean ii. iii.…

A: Given information, Data set 1: Class boundaries Frequency Cumulative frequency 50-54 1 1…

Q: Question 9: A machine produces, on average, 95% of mouldings within tolerance levels. Determine the…

A: To solve this problem, Binomial distribution should be used. Binomial distribution has a probability…

Q: Assume a facial recognition system is used to distinguish the faces of 8 different individuals…

A: Note: In case of multiple questions, as per the guidelines, answer to first question will be…

Q: Let K and L be events on the same sample space, with P (K) = 0.8 and P (B) = 0.6. Are these two…

A: given data  P(K)  = 0.8 P(B) = 0.6 can K and B be the disjoint events?

Q: In a seismic hazard analysis, the magnitude of the earthquake (Richter's scale) is modeled with a…

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Q: State the Central Limit Theorem. Choose the correct answer below. O A. For a random sample of n…

A: Central limit theorem:-A random sample of n observations selected from the population with mean μ…

Q: Question 8: A production line produces 6% defectives. For a random sample of 10 components,…

A: given data  P(defective) = p = 0.06 n = 10 components selected x = no. of defective components…

Q: sert. In recent years, it has rained only 5 days each ye nfortunately, the weatherman has predicted…

A: Given The sample space is defined by two mutually-exclusive events - it rains or it does not rain.…

Q: Let A = (1,3,5,6,7), B = (1,5,7) Find AU B = Let A = (G,0,0,d), B = {o, d, y) Find AU B = Let X =…

A: We have given that:A=1,3,5,6,7B={1,5,7}

Q: The probabilities that a student will receive an A, B, C or D grade are 0.4, 0.3, 0.2 and 0.1…

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Q: The mean is approximately (Round to the nearest whole number as needed.)

A: It is given that  n1 = 7 X̄1 = 240 n2 = 4 X̄2 = 190

Q: Two ordinary dice are rolled. Find the probability that at least one of them turns up a 6.

A: given data, two ordinary dice are rolledwe have to find out that at least one of them up to a 6

Q: A student can select one of 6 different mathematics books, one of 3 different chemistry books and…

A: given data  6 mathematics books 3 chemistry books 4 science book.    select one book of each…

Q: How many permutations are there of the following word? BOOKKEEPING

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