use the probability of the union of two events, independent, or dependent events in solving the problems below. A board game has 16 orange cards and 24 green cards, not in one deck. Three of the orange cards are wild cards and 6 of the green cards are wild cards. Josshiee may choose two cards at random, one at a time, to add to his hand, without replacement. For the least possible probability of choosing two wild cards, should Josshiee choose 2 green cards, 2 orange cards, or 1 green and 1 or

Q: Determine whether each group of events is Mutually Exclusive or NOT.

A: here use basic probability  here use basic of mutually exclusive and not mutually exclusive events…

Q: At a college, 24% of all students are taking a course in solar design, 38% are taking a course in…

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Q: Dr. Vitz is a professor in Engineering Statistics. She gives questions multiple choice tests. If…

A: Note: Here, the number of trials(Number of questions for the exam) is not given. We have…

Q: Two hundred pre-engineering students have their midterm grades in the statistics, assuming normally…

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Q: In a group of people everyone rolls a die. What is the smallest number of people that should be in…

A: When some objects are arranged or a rearrangement is made for a number of objects arranged in an…

Q: Find E(Y)

A: For the given table E(y ) =?

Q: A game is played using one die. If the die is rolled and shows 6, the player wins $10. If the die…

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Q: P(35<x<37)       50 murders surveyed  0.61% of the murders were cleared  The probability that…

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Q: Consider the following binomial probability expression. What is the probability of success and…

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Q: A popular clothing manufacturer receives Internet orders via two different routing systems. The time…

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Q: If X is normally distributed random variable with a standard deviation of 16. Find the mean given…

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Q: Example – 5: Consider an item with reliability function R(t) = (0.2 t+1)2 , t > 0, where the time t…

A: Given Information: Consider the reliability function:     Rt=10.2t+12  , t≥0

Q: Explain the Graphic method of trend estimation in a time series and give its nmerits and demerits.

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Q: An economist would like to estimate the mean amount of money that a family spends to within $36. If…

A: Given that  Population standard deviation =200 Margin of error =E =36 91% confidence.

Q: Explain Rates and Ratios of Vital events.

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Q: toss a fair coin three times, given that you have observed at least one head, the probability that…

A: Given You toss a fair coin three times, given that you have observed at least one head,

Q: Example – 9: Suppose that R(t) = t e¬9t, t > 0 i) What is the MTTF ? ii) What is the expression for…

A: Given Information: Consider the given Reliability function:     Rt=te-9t   t≥0

Q: Q1. a) If X~N(25, 16), then find the following probabilities. i) P(X > 31) ii) P(16 < X < 34) b)…

A: Given that.   X~N( μ=25 , ?^2=16 )   μ=25     , ?=4   Z-score =( x - μ )/?   NOTE:- According to…

Q: • If a pair of dice is tossed. What is the probability that a. the sum is either 7 or 11? b. the sum…

A: Given that  A pair of dice is tossed  Sample space=S S={ (1,1) (1,2) (1,3) (1,4) (1,5) (1,6)  (2,1)…

Q: Suppose that for a given screening test, the sensitivity is 0.621 and the specificity is 0.522 (both…

A: Solution: From the given information, the sensitivity is 0.621 and the specificity is 0.522.

Q: An economist would like to estimate the mean amount of money that a family spends to within $45. If…

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Q: A “punishment" game consists of two parts described as follows: • Step 1: Flip three fair coins, and…

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Q: 4. If a license plate pattern is LLL NNNN where L is a letter and N is a number digit, how many…

A: Permutations: A permutation of different objects taken r at a time is an arragement of r out of the…

Q: 9. From the following data, find the missing item. X: 110 112 113 117 ? 125 128 130 Frequency: 25 17…

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Q: How many 5 character-license plates can be made if the first 3 characters are letters and the last 2…

A: Here Given for 5 character license plate First 3 are characters and last 2 are Numbers  Here…

Q: 16. The following table describes speed post rates from 1975 to 1987 Year: 1975 1976 1977 1978 1979…

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Q: Let Y, and Y, have the joint probability density function given by f(y1, Y2) = - {k(1 - y2), 0 sy1…

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Q: Michael is taking 4 courses during the present term. In each course, he can receive one of 5…

A: Introduction: It is required to find the number of possible combinations of grades that the student…

Q: Which of the following is true about the socio-ecological impact matrix? O a. It takes a life cycle…

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Q: Example 22. A piece of equipment cost a certain factory Rs. 6,00,000. If it depreciates in value,…

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Q: Use the following letters J,O,L,L,Y to explain the difference between "permutations" and…

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Q: 3. Below is the preference schedule for an election where the winner is determined by single runoff.…

A: Voters and choices given We have to calculate winner by using runoff method.

Q: In a county male height is normally distributed with a mean of 175 cm and a standard deviation of 6…

A: Given that.   X~N( μ , ?^2 )   μ=175   , ?=6   Z-score =( x - μ )/?

Q: Determine the mode of the set of values: 8, 13, 20, 9, 13, 15, 8, 12, 13, 10, 16 and 11.

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Q: A box contains 5 coins : three regular coins and two fake two-headed coin. You pick a coin at random…

A: Here given that,  Total coins are N= 5,  Regular coins are n=3  P(regular coin) = 3/5 Fake coin are…

Q: fair die is rolled three times. A 2 is considered success while all other outcomes are failures.…

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Q: a) Find P[R3|L4]. (b) Find P[R4|L5]. (c) Find P[L2|O]

A: here dingle die is rolled  so total possible outcomes are 6 here probability of rolling each number…

Q: The joint pmf of X and Y are given in the table below: Y X 4 2 1 15 15 2 15 3 3 15 15 上面00

A: Solution-: We have following table: X Y 0 2 4 1 0 2/15 1/15 2 3/15 6/15 0 3 3/15 0 0…

Q: Two cards are drawn from a shuffled deck of cards. Make a probability distribution table where…

A: Given that  There are 52 card in the deck in which they divided into two color i.e red(26) and black…

Q: t = 3.2. What conclusion is appropriate at each of the fol- lowing significance levels?

A: here given  sample size  = n = 15 test statistic  = t  = 3.2 and here it is right tail test

Q: The weight of male contestants is normally distributed with a mean of 90 kg and a standard deviation…

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Q: 2. Given a standard normal distribution, find the area under the curve that lies (a) to the right of…

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Q: Example 14. XYZ Ltd. produced 600 units during 3rd year of its operation. The company maintained its…

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Q: versin Ths data quarfile is 19.5 gallans P

A: *Answer:  *a Here population is the production and consumption of food and agriculture products…

Q: a completely randomized design, 12 experimental units were used for the first treatment, 15 for the…

A: For the given data Perform Anova single factor

Q: Jack and Jill are in an airplane soaring high above majestic Lake Tahoe. Jack is considering jumping…

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Q: The following data is given: 3 4 14 12 9 _y 4 7 11 Use linear least-squares regression to determine…

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Q: The random variable X, the particle size (in micrometers) distribution is characterized by the…

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Q: Suppose that N+ 1 balls, of which a+b+1 are red and N-a-bare blue, are arranged in a linear order in…

A: From the given information, There are N+1 balls, of which a+b+1 are red and N-a-b are blue arranged…

Q: Find the conditional distribution pY |X(y | 2).

A: Given that  Joint probability mass function of X and Y is    Y=0 Y=2 Y=4 X=1 0 2/15 1/15 X=2…