For mandome variable X~f where fe) = {3x + ²) X≤^ X>4 find: a) E(X) & var (x) A) P(2

Q: Guide a hypothesis test by establishing Hypothesis, - Type of test, - Decision rule, and conclusion…

A: The data is given as- x¯1=450S1=120n1=10x¯2=420S2=150n2=12

Q: 3. Birmingham claimed that the Commonwealth Games which highlighted the region has improved the…

A: Let p1 denote the proportion of people amongst the residents of Birmingham, who thought that…

Q: A researcher wishes to estimate, with 99% confidence, the population proportion of families who eat…

A: Population proportion p=16%=0.16 Margin of error =E =5%=0.05

Q: Practice: 1) Find the number of possible outcomes. List all the possible outcomes. A stack of cards…

A: “Since you have posted multiple questions, we will provide the solution only to the first question…

Q: Find the E(X) of the random variable X with the following PDF: £x (x) = ²/2 [[0,1] (x) + ½ I (1,2)…

A: The pdf of a random variable X is given.

Q: 31% of all college students major in STEM (Science, Technology, Engineering, and Math). If 44…

A: Given ,  The probability that the college students major in the STEM (Science, Technology,…

Q: In an amusement arcade there is a horse race with horses coloured red, yellow and green. Only one…

A: In this amusement arcade scenario, players have the option to bet either 10p or 20p on a horse race…

Q: R programming 5-dimensional vectors A, B, C, D are given below: A:12 1 3 7 7] B: [35952] C:[78 70 3]…

A: In this question, we are given four 5-dimensional vectors: A, B, C, and D. These vectors represent…

Q: The accompanying table is from a study conducted with the stated objective of addressing cell phone…

A: The contingency table shows that handedness and cell phone ear preference.

Q: Testing has been carried out on the length of time ( hours) that a new Brand X smartphone battery…

A: The missing values are obtained below as follows:   Let X denotes the lifetime of the batteries…

Q: 4 (a) Show that the functions f(x)=eªª, ƒ(x)= -lnx, and f(x) = x² are all convex. (b) Show that if f…

A: a) To show that the given functions are convex, we need to demonstrate that their second derivatives…

Q: Given the following outcomes from a random sample of 15 people's weekly expenditure on fruit: 16;…

A: Given data in assending order,       2, 3, 6, 7, 7, 7, 7, 8, 8, 10, 10, 12, 13, 14, 16 Using formula…

Q: The Service Corps of Retired Executives collected the data below to see if their small business…

A: Data is given for business consulting work after Katrina. Here, we have to test whether the small…

Q: Consider the probability triple [0, 1]2, B[0, 1], Leb2), where Leb2 is the two dimensional Lebesgue…

A: Let X:0,12→ℝ and Y: 0,12→ℝ be the random variables defined by  Xw1,w2=w1+w2 Yw1,w2=w2-w1 Assuming…

Q: Calculate the standard error. (Round your answers to 4 decimal places.) Standard Error (a) n…

A: (a)    n = 27, π = 0.24(b)    n = 56, π = 0.43    (c)    n = 123, π = 0.47

Q: A group of people were asked if some psychics can help solve murder cases. 220 responded "yes", and…

A: Answer:- Given, Number of respondents who said "yes", n(Yes) = 220  Number of respondents who said…

Q: The following are the P/E ratios (price of stock divided by projected earnings per share) for 15…

A: The following are the P/E ratios (price of stock divided by projected earnings per share) for 15…

Q: Listed below are annual data for various years. The data are weights (metric tons) of imported…

A:

Q: 3 The Service Corps of Retired Executives collected the data below to see if their small business…

A: According to the information provided in the question, the service corps of retired executive…

Q: The cost of a daily newspaper varies from city to city. However, the variation among prices remains…

A: Hey there! Thank you for posting the question. Since your question has more than 3 parts, we are…

Q: The peak shopping time at a pet store is between 8-11:00 am on Saturday mornings. Management at the…

A: The peak shopping time at a pet store is between 8-11:00 am on Saturday mornings. Management at the…

Q: iF Xn Bin (60 0.7) Find P(X=4)

A: X~Binomial(n=6 , p=0.7) then find P(X=4)=?

Q: The manager of a coffee shop is trying to determine if drive-through customers buy fewer items than…

A: The question is about hypo. testing Given : confidence level = 0.90 z score = -0.1429 p value =…

Q: The number of successes and the sample size for a simple random sample from a population are given…

A: The given information is x=7,n=28,H0:p=0.4,Ha:p<0.4,α=0.10.

Q: a. P (x > 62) b. P (47<x<83) c. P (x <38)

A: Given that, X~N(μ=55,σ=13)

Q: Let X be a random variable such that P(X= c+kh) = π(a) (poisson distribution), where c s a real and…

A: In this problem, we are given a random variable X that follows a Poisson distribution with parameter…

Q: 47) If a set of observations is normally distributed, The Percent of these differ from The mean by…

A: the set of observations is normally distributed.

Q: 2. Imagine that, instead of estimating y = XB+, you estimate y = Zy+ & where Z = XP with P being a…

A: It is estimated y=Zγ+ε where Z=XP with P being a non-singular matrix which transforms the columns of…

Q: Please no written by hand solution and no img Looking for the MOST SIMPLE WAY to explain and/or…

A: Analysis of variance

Q: According the a 2017 Gallup poll, 80% of Americans report being afflicted by stress. Suppose a…

A: To proceed, it is crucial to grasp the underlying assumptions of the Central Limit Theorem (CLT):…

Q: Mark Price, the new productions manager for Speakers and Company, needs to find out which variable…

A: Independent variables : Unit price &amp; Advertising Dependent variable : Unit sales  i.e., We wish…

Q: The following table shows actual and forecasted values for sales over time. Year 2014 2015 2016 2017…

A: The question is about forecasting Given :   To find : Value of MAD

Q: It's not an easy life, but it's a good life! Suppose you decide to ta deckhand for a commercial…

A: given that,  Types of fish Thousands of metric tons flatfish 71 Pacific cod 68.6 sablefish…

Q: the problem stated 66 independent students not 60

A: We need to correct the solution since mistakenly 60 is used in calculation when 66 should be used.

Q: In a biology class, there are 40 students, 18 of whom are female and 22 are male. If two students…

A:

Q: Use the linear correlation coefficient given to determine the coefficient of determination, r². r =…

A: r=-0.8426

Q: Find the variance and standard deviation of the data below: Classes 1-10 11-20 21-30 31-40 41-50…

A: The question is about frequency distribution Given :   To find : 1 ) Variance of the data 2 ) Std.…

Q: (a) Construct a grouped frequency distribution for the data. Use 85-89 for the first class and use…

A: The data is given on the IQ scores of 50 students. Construct a grouped frequency distribution and…

Q: Using the following stem & leaf plot, find the five number summary for the data by hand. 1|01 2166…

A: Answer:- Given stem-and-leaf plot is Stem leaf 1 0 1 2 1 6 6 3 1 6 4 1 3 4 9 5 2 2 4 7…

Q: In a poll, 1200 adults in a region were asked about their online vs. in-store clothes shopping. One…

A: Answer:- Given, Sample size, n = 1200  Sample proportion, p = 38% = 0.38  Confidence level = 95% =…

Q: random sample of 473 students and professors were asked about their political party affiliation. The…

A: Total people=473

Q: 36) The time X needed to complete a final examination in a particular College Course is normally…

A: The Z-score for the random variable X equals 70 is obtained below as follows:   From the…

Q: 40 pulse rates of men have a mean of 69.4 beats per minute and a standard deviation of 11.3 beats…

A: The sample size is 40, sample standard deviation is 11.3.

Q: The sample mean X is to be used to estimate the mean u of a normal distribution with standard…

A: The question is about sample size estimation Given : Std. deviation of normal dist. ( σ ) = 4 inches…

Q: METHODS AND APPLICATIONS Sound City sells the ClearTone-400 satellite car radio. For this radio,…

A: Given that, from the given information Radio(x)          week          P(x) 0                     2…

Q: At Westgate Community College, a survey was done to determine when students are available for class.…

A: It is given that out of total students, 52 would take early-morning classes, 85 would take…

Q: Q28 If A is 3 occurrences per five-minute time interval, find the probability of getting occurrences…

A: Note:- "Since you have posted multiple questions, we will provide the solution only to the first…

Q: Poisson model in traffic safety • Here we make the assumption of a Poisson process. (What does that…

A: Here we make the assumption of a Poisson process implies that, Accidents occur at the traffic…

Q: 4. Individuals of various age groups (18-35; 36-55; 56-75) were asked about their trust (measured on…

A: The question is about ANOVA Given : Sample size of age grp. 18-35 ( n1 ) = 22 Mean trust of age grp.…

Q: Suppose the random variable X is the number of tails until a head comes up in the experiment of…

A: a) To show that the given function is a valid probability mass function (PMF) for the random…