Two students A & B are both registered for a certain course. Assuming that student A attend class 80% of the time, student B attends class 60% of the time, & the absence of the two students are independent. A. What's the probability that at least one of the two students will be in class on a given day? B. If at least one of the two students on a given day, What's the probability that A is in class that day?

Q: e. Show that Cov(XY) Var(X) Hint: Use computational formulas of Cov(X,Y) and Var(X). You may begin y...

A:

Q: he following the distribution of persons according to different income groups Income (in 1000) o of ...

A: We  have given that data  Mean = sum of all observations/total number of observations. 

Q: where M { , 4k}, T = {T1, 72,, TK }, and %3D D p(x|H) = T|Hi" (1 – Pki)a-"n). i=1 Show that: 1. 10 P...

A:

Q: A car hire firm has two cars, which it hires out day by day. The number. of demands for a car on eac...

A:

Q: V1 = 2, show that the significance level of F corresponding to a - (2/v2) _ aidu significant probabi...

A:

Q: Use the standard normal distribution table to find the area of the following regions. A. to the left...

A: Let Z denotes the standard normal variate i.e Z follows N(0,1).

Q: The accompanying data represent the pulse rates (beats per minute) of nine students enrolled in a st...

A: (a) Step1: Enter the data in the worksheet. The screenshot will be: Step 2: Use formula = {\rm{stde...

Q: span light is R. ag 01 ndom sample of 20 LED light has a mean life of x = 1020 hours. Compare the 90...

A: We have given that Sample size n =20 Sample mean = 1020 Population standard deviation =20 90%confide...

Q: In baseball, is there a linear correlation between batting average and home run percentage? Let x re...

A: Solution-: Let, X=represent the batting average of a professional baseball player and        Y=repre...

Q: Answer the following questions. Prove your answers using derivations, following the properties of su...

A: e)Given regression equationY=β0+β1X+ui β1 is Slope parameterβ0 is intercept Applying the Covariance ...

Q: The following the distribution of persons according to different income groups Income 0-8 8 - 16 16 ...

A:

Q: Use the standard normal table to find the z-score that corresponds to the cumulative area 0.0183. If...

A:

Q: In a binomial distribution consisting of 5 independent trials, probabilities of 1 and 2 success are ...

A:

Q: A study showed that the sex ratio of children born to families in a native community of Ontario devi...

A: Given:A study showed that the sex ratio of children born to families in a native community of Ontari...

Q: A beverage machine is adjusted to release a certain amount of syrup into a chamber where it is mixed...

A: Sample size : n = (tα/2,df * s/ME)2

Q: To study the performance of three detergents and three different water temperatures, the following '...

A:

Q: Let a stochastic process (Xt) be given as follows: Xt = 3 + 0:5Xt-1 + t, where (t) is white noise wi...

A:  

Q: In a survey of women in a certain country (ages 20- 29), the mean height was 66.1 inches with a stan...

A: Given that, μ=66.1 inchesσ=2.74 inches (a) The height represents the 95th percentile is,

Q: What is the sample size of a certain study if the population size is 1,000,000 and 10% margin of er...

A: Given:  1): What is the sample size of a certain study if the population size is 1,000,000 and 10% m...

Q: At a furniture store, there a 4 different sizes of sofas, 7 different colors of fabric , and 8 diffe...

A: Given that, No.of  different sizes of sofas = 4 No.of different colors of fabric =7 No.of different ...

Q: You are performing a study about weekly per capita milk consumption. A previous study found weekly p...

A: (b) The value of mean is, Therefore, the value of mean is, 43.9

Q: F. A random variable X has the probability distribution as follows: 1 5 1 3 1 P(x) 10 4 10 33. Find ...

A:

Q: Determine whether the value is a discrete random variable, continuous random variable, or not a rand...

A: Disclaimer : “Since you have posted a question with multiple sub-parts, we will solve first three su...

Q: Can you make Two sprites, Balloon 1-a and Balloon 1-b are continuously gliding randomly around the e...

A: Here we have 200 samples each of size 40, and we have 40 data values (these value can be taken as pr...

Q: Example 19-20. If f (x) = ' find the divided differences f (a, b), ƒ (a, b, c) and f(a, b, c, d). %3...

A:

Q: ny has determined that the mean number of days it takes to collect on its accounts receivable is 36 ...

A: Given: Mean number of days = 36 Standard deviation of number of days = 11 Sample size = 12

Q: Let x be a random variable that represents hemoglobin count (HC) in grams per 100 milliliters of who...

A: We have given that data  15 17 15 19 14 13 13 17 17 12 I want to find mean and standard deviat...

Q: Calculate the coefficient of correlation using the method of concurrent deviation between supply and...

A:

Q: Four mice are chosen (without replacement) from a litter containing two white mice. The probability ...

A:

Q: Detemine whether the following graph can represent a variable with a nomal distribution. Explain you...

A: The given graph is, Yes, the graph describes a variable with normal distribution.  

Q: An experiment was conducted in which two fair dice were thrown 100 times. The sum of the pips showin...

A: Solution : a) The most frequent outcome of the experiment is 9 b)  The least frequent is 12  

Q: Let X ~ Geometric(1/3), i.e., P(X = k) = (1/3)(1-1/3)^k for k = 0, 1, 2, 3, .... What is the prob...

A:

Q: The compressive strength of concrete is normally distributed with u= 2200 psi and o? 50 psi. Find th...

A:

Q: What is the mass in both (a) slugs and (b) kilograms of a 3480-lb car? Answers: (a) m = slugs (b) m ...

A:

Q: 8. Where can we find the area of a specific region under the curve? a. Table of Areas of Geometric F...

A: For the given problems or statements Select the correct choice

Q: 1. A salesman for home insulation conducted a telephone poll of the first 25 people from his firm's ...

A: No the survey result is not valid. Because only one is rating with 5 or above and we are unaware abo...

Q: The solar energy consumed (in trillion BTU) in the United States by year from 2000 to 2015 is shown ...

A: Given: n = 16 Confidence level = 90%    

Q: 3. The following are the scores in spelling of 10 male and 10 female first year high school students...

A: Given : For Male given data : 14,18,17,16,4,14,12,10,9,17 from the above giv...

Q: The first four Moments of a series about its Mean are 0, 2.5, 0.7, and 18.75 respectively. If the cl...

A: Given  μ1= 0, μ2=2.5, μ3=0.7, μ4=18.75 , h=3 

Q: Suppose that 3 people toss an unfair coin that has a probability 1/4 of landing on a head, and 3/4 o...

A:

Q: Suppose that for events A, B, we have: P(A) = 1/6 , P(B) = 5/12 , P(A|B) + P(B|A) = 7/10. What is P(...

A:

Q: Compute the sample correlation coefficient r for each of the following data sets and show that r is ...

A: Solution-: We find the sample correlation coefficient for each of the given data (i) X:6,5,9 and  Y=...

Q: An industrial engineer is analyzing the structural strength of a concrete aggregate. Structural stre...

A:

Q: C1 C2 Total R1 .3 .2 .5 R2 .2 .3 .5 Total .5 .5 1.0 P(R1∩C1)=? 0.8 0.2 0.66 0.3

A: The probability distribution of R and C given and we have compute. C1 C2 Total R1 .3 ...

Q: I Given : Number of pairs of observation X and Y series = 8 %3D X series Arithmetic Average = 74.5 X...

A:

Q: Determine whether the following graph can represent a variable with a normal distribution. Explain y...

A:

Q: A password consists of 6 capital letters followed by 6 digits. If repetition is allowed, find the nu...

A: A password consists of 6 capital letters followed by 6 digits.  If repetition is allowed, find the ...

Q: Consider a random sample of (X, Y), with a sample size of n. How will the following estimators chang...

A:

Q: The standard deviation of measurements of a linear dimension of a mechanical part is 0.14 mm. What s...

A:

Q: The Polya urn model is as follows. We start with an urn which contains one white ball and one black ...

A: