Questions: A. Calculate for the probability of the following. 1. A fair coin is tossed 3 times, what is the probability of getting: a. 2 heads and 1 tail b. Exactly 3 heads At least 1 head c.

Q: Calculating the Z-score is the last step when evaluating a normal distribution curve. O True O False

A: Normal distribution: 1. It is bell-shaped is a symmetrical continuous probability distribution  2. T...

Q: How many 12 digit numbers can be formed from 4 ones, 2 twos, 3 fives, and 1 six and 2 nines?

A: We have given that  1 = 4 times 2 = 2 times 5 = 3 times 6 = once9 = 2 times

Q: a. Let E be the event that a city in New York was founded before the year 1900. Determine p(E). Answ...

A: Out of all the cities in New York State, about 64.5% of them were founded before the year 1900 and r...

Q: Suppose Z follows the standard normal distribution. Use the calculator provided, or this table, to d...

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Q: The normal probability of a z-score of -1.98 is 56.52%. O True O False e to search

A: We have given that.   X~N( μ , ?^2 )   μ=0  , ?=1  ( for standard normal)   Z-score =( x - μ )/?

Q: A box contains 26 calculators, 7 of which are defective. 7 calculators are selected at random from t...

A: Solution-: Given: N=26,M=7, n=7 We find, (a) P(all of the selected calculators are defective)=? (b) ...

Q: Consider an experiment of tossing a coin thrice. Match the answer to the indicated concept. Sample S...

A: Given that  A coin tossed thrice 

Q: Player TD Aaron Rodgers 48 Russell Wilson 40

A: Given: TD 48 40 40 38 37 35 33 33 33 31 27 26 26 26 26 26 24 ...

Q: In 1898, L. J. Bortkiewicz published a book entitled The Law of Small Numbers. He used data collecte...

A: GivenMean of 0.61 λ=0.61 in a yearLet "x" be the death in a corps in a yearx~Poisson(λ=0.61)P(X=x)=e...

Q: A four-digit number is to be formed from the digits 0, 1, 2, 3, 5, 7, 8, and 9. How many four-digit ...

A: The digits are 0, 1, 2, 3, 5, 7, 8, and 9.

Q: Klaus is trying to choose where to go on vacation. His choices are A = Baguio and B = Tagaytay. He c...

A: Given,P(A)=0.36P(B)=0.44

Q: Find the area of the following z-values and draw its graph. From and to the right of z= 2.0 Please s...

A: Given that  Z=2 Z follows standard normal distribution 

Q: Identify/Differentiate characteristics of Permutation and Combination

A: Characteristics of Permutation:  For the different possible arrangement of 'r' outcomes taken from '...

Q: 1. Did it matter in what order you selected the objects? 2. Give an example to justify your answer i...

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

Q: Then: (a) The probability that a randomly chosen student from the class got B is (b) The probability...

A: Here Given  Total Number of students=1+3+8+7+6=25  

Q: totalNumberHW04POS bricks were examined for cracks. crackedNumberHW04P05 were found to be cracked. T...

A: P(cracked, discolored or both) = 1 - P(neither cracked nor discolored)                              ...

Q: Expected values and Binomial distribution 1. A packet of carrot seeds has a germination rate of 92%....

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Q: A set of data has a normal distribution with a mean of 5.1 and a standard deviation of 0.9. What per...

A: ,We have given that.   X~N( μ , ?^2 )   μ= 5.1    , ?=0.9   Z-score =( x - μ )/?

Q: Company X has 10 employees, each placing an average of 20 minutes of long-distance calls per day. Th...

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Q: Data from 14 cities were combined for a 20-year period, and the total 280 city-years included a tota...

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Q: Assuming that the samples comes from normal distributions, find the margin of error E, given the fol...

A: As per our guidelines we can solve first three sub part of question and rest can be reposted. Soluti...

Q: According to a recent survey, the salaries of entry-level positions at a large company have a mean o...

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Q: Consider an urn containing 1000 balls. Suppose that the balls are numbered from 1 to 1000. Consider...

A: Given that  Total number of balls =1000 Suppose that the balls are numbered from 1 to 1000.  Let S d...

Q: a. Compute E(y) (to 1 decimal). b. Compute Var(y) and o (to 2 decimals). Var(y)

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Q: 3. Suppose that in a casino, a certain slot machine pays out an average of Php 15, with a standard d...

A: Given that, In a casino, a certain slot machine pays out an average of Php 15 with a standard deviat...

Q: How many six-digit even numbers less than 200 000 can be formed using all of the digits 1, 1, 2, 2, ...

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Q: An electronic product contains 40 integrated circuits. The probability that any integrated circuit i...

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Q: Which of the following expressions entered into a graphing calculator will return the probability th...

A: According to the given information in this question To calculate the probability between the two z s...

Q: Discrete Probability: Consider a simple game in which you roll two dice. If you roll an even total, ...

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Q: -Example - 2: Suppose a continuous random variable X has the following probability density function ...

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Q: a) Construct a probability tree of the problem. b) Calculate the probability that Paul picks two bla...

A: Here define events and draw tree

Q: family has three children. If the genders of these children are listed in the order they are born, t...

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Q: In how many ways can 9 individuals be seated in a row of 9 chairs if two individuals wanted to be se...

A: We label one of the two people insisting the sit next to each other as person A and the other as per...

Q: A box contains 3 glazed doughnuts, 4 jelly doughnuts, and 5 chocolate doughnuts. A doughnut is chose...

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

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Q: A. The Wildcats have won approximately 80% of their 20 basketball games this season. The Wildcats wo...

A: Given that, Wildcats have won approximately 80% of their 20 basketball games this season. The Wildca...

Q: Suppose a normal distribution has a mean of 38 and a standard deviation of 2. What is the probabilit...

A: Let X be the random variable from normal distribution with mean (μ) = 38 and standard deviation (σ) ...

Q: TOPIC: PROBABILITY OF INDEPENDENT AND DEPENDENT EVENTS 8)A fair die is tossed three times. Find the...

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Q: A pair of six-sided dice is rolled. What is the probability that the sum is 7 [ Choose ] the sum is ...

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Q: How many distinct permutations can be formed using all the letters of the word MATHEMATICS? 11! 2!+2...

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Q: Question # 1 (8:00 – 8:05) A Web ad can be designed from four different colors, three font types, fi...

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Q: How many ways are there to arrange the letters in the word SIERPINSKI? How many arrangements begin a...

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Q: 8 athletes are entered in a race. How many possible ways can they finish (assuming no ties are allow...

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Q: A bowl contains five red balls, six white balls, and four green balls. In how many ways can six ball...

A: It is needed to select six balls, where there are two balls of each color.

Q: Assume that a procedure yields a binomial distribution withn=4 trials and a probability of success o...

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Q: If R is the event that a convict committed armed robbery and D is the event that the convict pushed ...

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Q: 3. There are 6 men and 5 women in a room. In how many ways we can choose 3 men and 2 women from the ...

A: We have given that the 6 men and 5 women. Total number of persons are 11.   Combination formula: C( ...

Q: Discrete Probability: A bag contains 8 red, 7 green, 5 black and 10 yellow jellybeans. Six jellybean...

A: Givem that,  A bag contains 8 red, 7 green, 5 black and 10 yellow jellybeans. Six jellybeans are sel...

Q: Normal probability tables typically list z-score values between -3.49 and 3.49 O True O False

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Q: What is the probability that a sample will have a z-score of more than 2.90? Z 0.0 2.50.99380.99400....

A: The formula of the standard Normal score is,