Find the probability of the ff: Show your solns 1. A number from 1-100 is selected at random. What is the probability that the number is divisible by 5? 2. In the alphabet, what is the probability of getting a vowel letter? 3. Jay wants to join and win a singing contest and he has 12 other singing competitors. What is the probability of Jay winning the 1st place?

Q: Let X, Y ~ N(0, 1) be independent. Find the moment generating function of X2 + Y2. Hint: If X, Y ar...

A:

Q: In developing a generic drug, it is necessary for a manufacturer of biopharmaceutical products to sh...

A: We have given that  Sample size n =20 Sample mean =18.22 Standard deviation =0.92

Q: x (cash prize, $) Grand prize 200,000 10,000 100 P(x) 0.00000000687 For a multistate lottery, the fo...

A:

Q: Approximate the mean of the random variable X based on the simulation for 50 games. x* hits (Round t...

A: We have given that data  Sample size n =50 Mean = sum of all observations/total number of observatio...

Q: Of 58 bank customers depositing a check, 23 received some cash back. (a) Construct a 90 percent conf...

A: Given,n=58x=23sample proportion(p^)=Xnsample proportion(p^)=2358=0.39661-p^=1-0.3966=0.6034α=1-0.90=...

Q: Harper's Index reported that 80% of all supermarket prices end in the digit 9 or 5. Suppose you chec...

A:

Q: Classify the type of random variable: Number of blood donors in a donation drive Onot a random varia...

A:

Q: Suppose normally distributed weight measurements (in ounces) for 60 randomly se- lected major league...

A: Solution: Given information: n= 60 Sample size  ∑i=160Xi=312.7∑i=160Xi2=1629.9396x=∑i=160Xin=312.760...

Q: Recall that to test a proportion, p, assuming all requirements are met, the z values will be calcula...

A: Givenn=20p=0.50q=1-p=1-0.50=0.50

Q: Consider the following regression, from an RCT: Grade, = 2.3 + 0.14 Treatment; + .432 Female; + e; a...

A: Given equation of regression line is  Gradei=2.3+0.14 Treatmenti+0.432 Femalei+ei We have to interpr...

Q: Compute the numerator for Pearson's r with the computational formula and use 4 decimal places for al...

A: We have given that data  I want to find Pearson's (r) r=SSXY/sqrt(SSXX×SSYY)

Q: Question 8 Suppose that the average number of Facebook friends users have is normally distributed wi...

A: Given : Population Mean,μ = 147 Population Standard Deviation,σ = 54 sample size,n...

Q: x¯¯ 26  nT    SSTR 408 SSE 410    nT = ___45________. omplete the following ANOVA table, ...

A:

Q: y for y = 1, ..., 5 be the pmf of Y? 56 (d) Could p(y) - No because ply) = 1 Need Help? Read It 332 ...

A: We have given that  p(y) = y2/56     , y=1,2,3,4,5

Q: 1. Let Y be a random variable with probability distribution given by the following table: y ㅇ 1 1 1 ...

A: Solution-: Let, Y-be a random variable with probability distribution given by the following table: ...

Q: A city has only 10 households, and they have the following annual incomes: $32,000, $12,00O, $56,000...

A:

Q: (a) The area to the right of the endpoint on a N(50, 4.0) curve is about 0.01. Round your answer to ...

A:

Q: The table summarizes a random sample of 3600 college students who were classified according to GPA a...

A:

Q: A new shearing machine is set to cut off a piece of steel from a long bar. For various reasons the m...

A:

Q: Which of the following is a drawback associated with quantitative research? -can’t be compared with ...

A: Quantitative research Quantitative research is a research strategy that focuses on quantifying the c...

Q: b) The table below shows the color and the model of cars purchased by 160 randomly selected customer...

A: For the given data Find Hypotheses Expected frequency for red vehicle and toyato model Contribution ...

Q: a) The University of the East Europe is interested in the overall performance of its students in the...

A: Hi! Thank you for the question, as per the honor code, we are allowed to answer three sub-parts at a...

Q: Find the area under the normal curve using the information below:  Mean: 2.78 Sd: .45 Your score:...

A: Let X be the score from normal distribution with mean (μ) = 2.78 and standard deviation (σ) = 0.45 a...

Q: For the following question: 1) state your hypotheses 2) find the critical z-scores 3 (this step is o...

A: For Sample 1 x̄1 = 2.37 s1 = 0.63 n1 = 123 For Sample 2 x̄2 = 2.78 ...

Q: 4. Z is distributed as a standard normal variable. Use Excel to find Pr(Z > 0.49). Enter your answer...

A: Solution: Let Z be the standard normal variable with mean 0 and standard deviation 1.  Z~N(0,1)  

Q: Are most student government leaders extroverts? According to Myers-Briggs estimates, about 82% of co...

A: Given: Population proportion, p=0.82 Sample size, n=71 Number of students found to be extroverts, x=...

Q: Suppose that the distribution of touchdowns (in football) is normally distributed with a mean of 250...

A: Consider that the mean and standard deviation of a random variable X are µ and σ, respectively. Thus...

Q: In how many ways can a committee of four people be chosen out of nine people? O 36 O126 O 8,709,120 ...

A:

Q: Let X be a continuous random variable that is normally distributed with mean, µ = 15 and standard de...

A:

Q: In a study of 384,817 cell phone​ users, it was found that 173 developed cancer of the brain or nerv...

A:  

Q: It is the degree of association that exists between two observed variable Correlation O Regression O...

A: Correlation and regression tells about the linear relationship between two variables X and Y.

Q: Jose and Josh began arguing about who did better on their tests, but they couldn't decide who did be...

A: Solution: Given information:   Mean  Standard Deviation  English Class 73.9 9.4 Art History C...

Q: b) A bottled water company has found in the past that 2% of their bottled water does not meet the co...

A: Given that n = 12 , p =0.02 ( i ) Random variable of interest is ( ii ) what distribution and parame...

Q: 1. Using the appropriate control chart, determine two-sigma control limits for each case: a. An insp...

A:

Q: Create a Scattet plot for this given data online.Label the x-axis and y-axis.Describe the Correlatio...

A: Given: Baking Soda (x) Circumference (eve) 1 14.1 2 17.8 3 12.6 4 6.1 5 1.6 6 0.6

Q: Example 4-26. (BERTRAND'S PROBLEM). If a chord is taken at random in circle, what is the chance that...

A:

Q: Two employees (Molly and Jim) must conduct a data analysis project on the success of a firm’s market...

A:

Q: idan buys a bag of cookies that contains 7 chocolate chip cookies, 4 peanut butter cookies, 5 sugar ...

A:

Q: Can a critical value for the χ2​-test be​ negative? Explain

A: χ2​-test is used when we want see whether there is any significant difference between the expected f...

Q: As you tan see in the following table, demand for heart transplant surgery at Washington General Hos...

A: Solution:  

Q: 15. Given a sample with a mean of 57 and a standard deviation of 8, calculate the following probabil...

A: We have given that.   X~N( μ , ?^2 )   μ =57 , ? =8   Z-score =( x - μ )/?

Q: A random sample of 20 binomial trials resulted in 8 successes. Test the claim that the population pr...

A: given  Population proportion=p=0.50, n=20 x=8

Q: Is there any systematic tendency for part-time college faculty to hold their students to different s...

A: Given  that, an article reported that for a sample of 125 courses taught by full-time faculty, the m...

Q: The final exam scores of students taking a statistics course are normally distributed with a populat...

A: Given information- Population mean, µ = 72 Population standard deviation, σ = 8 Let, X be the final ...

Q: Y X2 X3 1 1 2 3 2 1 8 3 -3 Based on these data, estimate the following regressions:

A: A2 and B2 are not same. 

Q: 3. Test a hypothesis that single/never married Americans spend more time watching TV than married Am...

A: The output of the two sample t test is given and objective is to make a decision of the test.

Q: Compute Pearson's r wth the definitional formula, what would be the numerator for this equation? Use...

A: We have given that,  The data set is,  Stress (X)  Scores exam (Y)  4 6 6 1 5 6 8 6 8 3...

Q: In the TechConsult Projects Ltd. problem given above, what happens if due to a NDA issue, Tech4 cann...

A: Formulate spreadsheet model and set up Solver Parameters as follows: E  

Q: Of 41 bank customers depositing a check, 25 received some cash back. (a) Construct a 90 percent con...

A: of 41 bank customers depositing a check, 25 received some cash back.x=25 and n=41now, p^=xn=2541for ...

Q: Determine the "n" and "p" in the following problems and write them in Combination notation. a)Abag c...

A:   “Since you have asked multiple question, we will solve the first question for you. If you want any...