The table below shows the probability distribution of students in a high school with 1500 students. What is the expected value for the age of a randomly chosen student? Age 13 14 15 16 17 18 Probability 0.01 0.25 0.28 0.30 0.15 0.01

Q: By Laws of Expected Value and Variance, determine E(Z) and V(Z) if Z = 4X + 1. A EZ) = 4E(X) + 1 and...

A: It is given that Z=4X+1.

Q: A bin contains marbles numbered 1 through 8. A marble is randomly Event A: The first selected from t...

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Q: Write True on the blank if the underlined words in the sentence is an event and False if it is not. ...

A: Since you have posted a question with multiple subparts, we will solve the first three subparts for ...

Q: 3. Let X-f(x;8) where f(x;e) = ex4o(x). a. Find a sufficient statistic for 0. b. Is your statistic i...

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Q: The manager of the Oak Hills Swimming Club is planning the club's swimming team program. The first t...

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Q: Male Female Walk 16 24 Bike 19 11 Car 21 22 The table shown gives the results of a poll taken on cam...

A: Given data is   Male Female Total Walk 16 24 40 Bike 19 11 30 car 21 22 43 Total 56 57 11...

Q: Two balls are drawn in succession without replacement from a box containing 5 pink balls and 6 red b...

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Q: You are given 10 to 1 odds against drawing two hearts when two cards are selected at random from a ...

A: In a standard deck of playing cards there are total 52 cards and 4 suits, such as hearts, diamonds, ...

Q: Let ? and ? be two mutually exclusive events. Given that (?)=0.25 and ?(?∪?) =0.77, determine ?(?).

A: Given: P(A)=0.25 P(A∪B)=0.77

Q: Identify which of these types of sampling is used: simple random, stratified, systematic, or conveni...

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Q: A box has 19 candies in it: 2 are peppermint, 7 are caramel, and 10 are taffy. (Each candy falls int...

A: It is given that Total candies = 19 Number of peppermint candies = 2 Number of caramel candies = 7 N...

Q: X is normally distributed random variable with a mean of 60 and standard deviation of 8. Find the pr...

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Q: The lengths of adult males' hands are normally distributed with mean 188 mm and standard deviation i...

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Q: a small regional carrier accepted 17 reservations for a particular flight with 16 seats. 14 resersva...

A: Given that Number of reservation = 17 Regular customer = 14 Seats available = 16-14 = 2 Remaining re...

Q: 1. A pair of standard 6-sided dice is rolled. The two dice are independent and labelled with the num...

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Q: 1. Rolling of dice can have 6 different outcomes. A teacher rolled the dice 50 times and attained th...

A: Given that  Rolling of dice have 6 different outcomes  That are :  7  (ones) , 10( twos), 8(threes),...

Q: Question 1 Consider a 3 dimensional contingency table. Decide if the following statements are true o...

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Q: : p(y-2|<10) p(z <2) =0.9772 y- N(2,25) 0.4594 0.5944 O 0.9544

A: It is known that, Z score= (y-mean)/standard deviation. Given that, Mean= 2 and variance= 25  So   s...

Q: A card is drawn randomly from a deck of ordinary playing cards. What is the probability that the car...

A: no.of club cards=13no.of king cards=4no.of club and king cards=1Total no.of cards=52

Q: How many ways are there to select three unordered elements from a set with five elements when repeti...

A: Given: Number of elements = 5 Number of unordered elements = 3 If repetition is allowed, permutati...

Q: Given the fulowing sample pace, determine the answers to the following parts. Ue commas te separate ...

A: Total number of event is 2n , where n is the number of elements in the sample space.

Q: Clarissa has just completed her second semester in college. She earned a grade of A in her 2​-hour t...

A: Given that,  Clarissa has just completed her second semester in college. She earned a grade of A in ...

Q: Assume n and m are two integers such that n > m > 1. If a bit string of length n+m is randomly selec...

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Q: Show all the possible outcomes of the following scenarios using tree diagram, listing and fundamenta...

A: Given: Shirts : S1, S2, S3 , S4, S5, S6, S7 Pants : P1, P2, P3, P4 Shoes : K1, K2, K3 Accessories: A...

Q: d. Those that have exactly one of the boards. 2. Construct a table to display the data in number 1.

A: Here Given  No of Micro computer  with printer =N(P)=10 No of Micro computer with modem =N(M)=5  and...

Q: A random variable Xis binomially distributed with mean 4 and standard deviation /2.4. Find the proba...

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Q: lescrete random variable? Houw is a CDF defined? Solve the following roblem. A eitizen in searech of...

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Q: A handsoap manufacturer introduced a new liquid, lotion enriched, antibacterial soap and conducted a...

A: For the given data Find p(tried/seen) =?

Q: If the team leader will give the "Employee of the Month" award to the employee with the highest expe...

A: Here use variance for comparison of consistentency   

Q: A survey of 30 adults found that the mean age of a person’s primary vehicle is 5.6 years. Assuming t...

A: Given: Sample size(n)=30Standard deviationσ=0.8Sample meanx¯=5.6

Q: You are incharge of rationing in a State affected by food shortage. The following reports were recei...

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Q: The weighted voting systems for the voters A, B, C are given in the form f9 on Calculate, if possibl...

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Q: Example 3.6. Let X and Y be jointly continuous random variables with joint PDF is given by: 3 fx.x(x...

A: The handwritten solution

Q: this factory, the probability of obtaining at most one damaged lamp is: 0.

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Q: Suppose that 2 balls are randomly selected (without replacement) from an urn containing 3 red, 4 blu...

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Q: (a) List the sample space S. (b) If items are replaced before the next one is selected (with replace...

A: Here sample space is set of all possible outcomes 

Q: The research involved 60 persons. The results are the following: 44 are married 37 are with kids 30...

A: Let m=a person is marriedk=a person have kidsGiven,P(m)=4460P(k)=3760P(m∩k)=3060

Q: 2. Those second prize winners missed the first prize by just one number. How much harder is it to wi...

A: Given information: First prize is awarded when all the five main numbers and Powerball matches. Seco...

Q: C. Find the corresponding area between z = 0 and each of the following: (Your answer percentage) 1.z...

A: a)P(0&lt;Z&lt;0.96)=?=P(Z&lt;0.96)-P(Z&lt;0)From z-table=0.8315-0.5000=0.3315=33.15%   z-table:   G...

Q: In a certain school of blind people, it is known that 1/4 of the blind are under 7 years of age. It ...

A: Given that, In a certain school of blind people, it is known that 1/4 of the blind are under 7 years...

Q: Find the rate parameter. b. Graph the probability density function. c. How likely is it that a cellp...

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Q: Suppose that a person is waiting for an email. He knows that the email will arrive at a time uniform...

A: Solution-: The email will arrive at a time uniformly between 8:00 pm and 9.00 pm Check box at 8:20 p...

Q: 1. In a radioactivity counting measurement, a total count of 1,000 was recorded in 100m Assuming tha...

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Q: The lifetime of a certain type of battery is normally distributed with mean value 10 hours and stand...

A: Let X be the random variable from normal distribution with mean (μ)= 10, standard deviation (σ) = 3 ...

Q: (d) What is the median checkout duration ? [solve 0.5 = F(Ñ)]. (e) Obtain the density function f(x)....

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Q: Problem 2. Let X be a non-negative random variable, with median 10 and third quartile 13. An actuary...

A: Given Let x be a non-negative random variable, with median 10 and third quartile 13.

Q: (a) List the other 23 possible outcomes. (b) Let x denote the number of students who receive their o...

A: After all students have left the classroom, a statistics professor notices that four copies of the t...

Q: An airline normally serve a meal on a long flight. If there are two meal options, what is the likeli...

A: Let n be the sample size = 6 Let p be the probability of selecting meal options = 12≈0.5 Let X denot...

Q: (a) Draw the tree diagram for the parts classified. (b) If a part is selected at random, what is the...

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Q: Research was conducted on the amount of oxygen runners could utilize during training, known as their...

A: Given data is  VO2 Max(ml/kg/min)(x) 5k Finishing Time(min)(y) 16.28 34.66 20.55 37.41 18.6...