Suppose X is an exponential random variable with parameter 1/2, and let Y = 14 X^2 + 7. Compu the value of the probability density function of Y at y=10. (Remember that exponential random variables only take nonnegative values!) TYPE YOUR ANSWER AS THE NEAREST TWO DIGIT DECIMAL NUMBER, AND USE e=2.72.

Q: or item numbers 17-20: A survey was conducted for Subic National School Grade 10 students to…

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Q: The College of Engineering and Astronomy Technology of Rizal Technological University will sponsor…

A: According to the given information, we have Total number of questions = 50 Number of questions…

Q: 28. Binomial distribution, n= 10, p= 0.5. a) Compute P(X = 5) b) Compute P(X> 5) c) Compute P(2…

A: Given that n=10 , p=0.5 X~Binomial(n=10,p=0.5)

Q: players mpopo provVinc Polokwane. From Tzaneen there are 20 players and from Polokwane there are 8…

A: Given,no.of players from Tzaneen =20no.of players from Polokwane=8Total no.of players=28

Q: Find the value of the constant c in the given probability mass function. p(x) = if x = -4, –3, -2,…

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Q: 1000 independent rolls of a fair die will be made. Given that the number 4 appears exactly 128 times…

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Q: i. What is the probability of getting the first "three" in the 6th roll? ii. How many times would…

A: here given, balanced die rolled , so probability of getting each outcome  =1/6 p(1) = p(2) = p(3) =…

Q: A box contains 3 red and 7 black balls. Players A and B withdraw balls from the box consecutively…

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Q: Suppose that a bread manufacturing industry has three inspectors to stamp the expiration date on…

A: Probability of an event is ratio of number of favourable outcomes to total number of possible…

Q: DECIMAL FORM: 146 148 150 152 155 157 160 163 164 165 167 170 171 172 p(x) 0. 118 | 0.029 0.059| 0.…

A: Let X be the random variable having probability mass function then we will find the mean variance…

Q: Pr(A) = 0.5 Pr(B|A) = 0.2 Pr(B|A') = 0.8 Hence, fill in the tree diagram below: A B' В A' B' B

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Q: (b) Perform a Z-test and find the p-value. Here is some information to help you with your Z-test. x…

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Q: Question i Given a legitimate probability mass function for a discrete random variable X. P(x) k 2k…

A: Solution-: We have following pmf for a discrete random variable X 0 1 2 3 P(X) k 2k 3k 4k…

Q: Find the standard deviation of the random variable Y with the given probability mass unction. y 1 4…

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Q: 13. Foofy studies if hearing an argument in favor of an issue alters participants' at- titudes…

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Q: randomly selected students on your campus and find that 76 of them would prefer a boy (a) Use the…

A: Let p be the probability p=45%=0.45  n=sample=160  P(X≥76)=?

Q: In an 8-item Mathematics quiz, how many ways can you select 6 problems to solve? a. 28…

A: As per company guidelines I solved only First questions

Q: What are the mean and standard deviation of x_av?

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Q: Students will ask 20 classmates and/or strand mates random question that will require 1 quantitative…

A: Probability is the likelihood of all the observation in the event. The mean of the probability…

Q: Discrete Uniform Distribution When a committee of size 2 is chosen from 5 persons, determine the…

A: The most basic discrete probability distribution is one in which a finite number of values are…

Q: Suppose a sample of 155 students at a university were asked their grade in statistics. 21 said they…

A: Given that  Sample size n =155 np=21

Q: 0.4 Step 1: Select one-tailed or two-tailed. O One-tailed O Two-tailed 0.3 - Step 2: Enter the test…

A: Followings are the Explanation of the question The following information is provided: The sample…

Q: 5.5 Let X1,.., Xn be iid with pdf fx(r), and let X denote the sample mean. Show that .... fx (1) =…

A: Probability : Probability is a field of mathematics that deals with numerical descriptions of how…

Q: i How many three-digit phone prefixes that are used to represent a particular geographic area (such…

A: here use combination and permutation

Q: Consider the given table, compute P45 * Class interval f fx fd cf s 34 - 52 53 - 71 4 43 172 -4 -16…

A: Given that  We have to find percentage of 45:

Q: 3.63 Two electronic components of a missile system work in harmony for the success of the total…

A: Solution

Q: If a package has no expiration date, what is the probability that it was inspected by Ken?

A: Here use probability tree

Q: The weather forecast shows a 40% chance of rain each day for the next seven days. What is the…

A: Given that  n=7 , p=40%=0.40 , q=1-p=1-0.40=0.60 X~Binomial(n=7,p=0.40)

Q: Determine if the events are mutually exclusive or non mutually exclusive events. 1. Choosing a penny…

A: Mutually exclusive events means disjoint events. For disjoint events -  probability of both events…

Q: d) What is the expected value of X?{ e) Explain the meaning of the expected value in the context of…

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Q: A bag contains 4 red balls, 8 blue balls, and 6 yellow balls. Find the probability of a. Drawing 4…

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Q: What is the probability that throwing 10 dice together, you will throw AT LEAST two ‘3’s on the…

A: Here use binomial distribution

Q: a) Who is right, or are they both right, or are neither of them right? Explain briefly. b) Which way…

A: Here use binomial distribution  Each  trial is independent  Finite number of trial  Here two…

Q: A drug-screening test is used in a large population of people of whom 7% actually use drugs. Suppose…

A: The probability that an event occurs is the chances of occurrence of the event. The probability is…

Q: Spin to win a prize. You spin the wheel which has four equal sectors. Event A: You get an iPhone.…

A:

Q: The mean, median and mode are all equal, and the central tendency of data set is 8 for the data et…

A: Given information: It is given that the mean, median and mode of the data set is 8.

Q: 1. A country has a population of 62 million. (a) Last year, there were 23,085 traffic fatalities.…

A: The following solution is given below:

Q: the game of poker 5 cards are drawn from a pack of 52 well-shuffled cards. Find the probability that…

A: Solution

Q: (b) Based on your answer to part (a), choose the correct statement. O The value of the test…

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Q: Suppose that in a certain town with a population of 5000 households, 3000 of the households have…

A: P: Cell phone C: Computers P(P) = 3000/5000 = 3/5 P(C) = 2000/5000 = 2/5 P(PnC) = 1500/5000 = 3/10

Q: A math class consists of 14 female students and 20 male students. Two students are selected at…

A: Given that  Total students=14+20=34 Female students=14 Male students=20 2 students are selected at…

Q: d. Two females are selected. e. No males are selected.

A:

Q: Problem (5): The colors of cars passing the university gate one morning are given in the table"…

A: Given information: Color Red Black Yellow Green Blue Grey Other Sum Number of cars 45 16 2 14…

Q: ility Distribution for Number of Girls x P(x) 0.004 1 0.013 2 0.102 0.212 4 0.338 0.212 0.102 7…

A: According to guidelines we solve first three subparts only when we have given multiple subparts.

Q: Suppose scores on a mathematics test have a mean 60 and standard deviation 20 while scores on an…

A: Given that Math -- mu = 60 ,s.d =20 ,x =80 Eng --- mu = 60 ,s.d =10 ,x =80

Q: It was found that eight percent of the computers produced by Mala Investment are unreliable. If the…

A: HERE AS PER GUIDELINES I HAVE CALCULATED FIRST MAIN QUESTION  here given , It was found that eight…

Q: Assume that the amounts of weight that male college students gain during their freshman year are…

A: Given that  X~N(μ= 1.2 , σ= 5.3 ) μ= 1.2 , σ= 5.3

Q: use here.

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Q: 1. A sample of 4 different calculators is randomly selected from a group containing 20 that are…

A: Q1: The number of defective calculators is 20 and the number of non-defective calculators is 10.

Q: Consider an unfair coin with probability p of heads. n has been tossed (a deterministic number) n…

A: Note: Hi there! Thank you for posting the question. As you have posted multiple questions, as per…