1. A normally distributed variable has a u = 100 and o = 10. If a sample of n =25 is selected, what is the probability that the mean is: a. less than 47? h above 51 12

Q: The number of hours of computer usage in a day of a random sample of 20 students was recorded as fol...

A: We have given that, 2.5, 3.2 ,2.5 ,1.5 ,6,1 ,3.5 ,3,1 ,1 ,4, 3, 2, 2.5, 1, 1 ,2.5 ,4.5, 4, 3 Then,  ...

Q: In linear models the Variance-Covariance matrix plays key role when estimating the parameters. State...

A: Find the estimate of β and variance of estimate of β  

Q: Three pebbles are drawn without replacement from a box containing 5 red and 5 white marbles. If X is...

A: Given that three pebbles are drawn without replacement from a box containing 5 red and 5 white marbl...

Q: One die is rolled. List the outcomes comprising the following events: (make sure you use the correct...

A:

Q: Assume that each face of the top is equally likely to face upward and that the pot holds 34 tokens. ...

A: A game is played using a four-sided wooden top, with one of four letters on each face, A, B, C or D....

Q: Consider an experiment of tossing a coin thrice. Match the answer to the indicated concept. Sample S...

A: Given that  A coin tossed thrice 

Q: Q4. The data in the table below shows a distribution for the marital status of adults living in a pa...

A:

Q: A class is consist of 12 boys and 10 girls. In how many ways can the class elect 4 members of a cert...

A: We have given that the class consist 12 boys and 10 girls. Total number of members = 22   Combinatio...

Q: If Z is a standard normal random variable, find the value z, for the following probabilities. (Round...

A: Ww have given that Z is standard normal random variable i.e, Z ~ N(0, 1).     Note: According to Bar...

Q: Find the area below z=1.5 Draw the graph. Please show your complete solution. Please write the solut...

A: We have given that.   X~N( μ , ?^2 )   μ=0     , ?=1  for standard normal    Z-score =( x - μ )/?  

Q: c)The table below shows how students performed based in their gender. Use the table to answer the fo...

A: c)i) The number of students got grade A is 13 and the number of female students is 91. The total num...

Q: Determine whether the data are qualitative or quantitative. 2) The colors of automobiles on a used c...

A: Given that ; Determine whether the data are qualitative or quantitative.2) The colors of automobiles...

Q: Using the t table, give the confidence coefficients for each of the following: а. n %3D 12, 95% conf...

A: Given,α=1-0.95=0.05α2=0.025

Q: The random variable X has probability density function f(x) given by: 2 <xse+1 f(x) = x-1 otherwise ...

A: the random variable X has probability density function f(x) given by;f(x)=1x-12≤x≤e+10otherwise

Q: Let X denote the reaction time, in seconds, to a certain stimulant and Y denote the temperature (°F ...

A: P(0≤X≤1/2 and 1/4≤Y≤1/2)=?  P(X&lt;y)=? 

Q: What is the probability that a roll has the red and the blue showing both even numbers?

A: Here number rolled on each die is independent from each other     

Q: Suppose that X and Y have following joint probability distribution: F(x,y) 4 1 0.10 0.15 y 3 0.20 0....

A: Given data is F(x,y) x 2 4 Total   1 0.10 0.15 0.25 y 3 0.20 0.30 0.50   5 0.10 0.15 0.25 ...

Q: One of the subjects, Racheal, has x = 60 and y = 52. (a) Calculate Racheal's predicted value, ŷ. (b)...

A: It is given that Regression equation : ŷ = 32 + 0.4x

Q: Discrete Probability: A spinner has equal sectors. Three sectors are blue, two are red and four are ...

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Q: Construct all random samples consisting three observations from the given data. Arrange the observat...

A: Solution-:

Q: 2.A10-stop slot machine has one reel. It has the following number of symbols. Every stop has an equa...

A: First we have to generate the sample. We have to select 100 samples with replacement from the set, S...

Q: Q4. Central limit theorem (Theory) State and prove the central limit theorem.

A: Proof:-

Q: True or False questions as follows. Explain your answer. (a) If P(A) 0, P(A|B) is at least as large...

A: Given that  True or False questions as follows. Explain your answer. (a) If P(A) &lt;= P(B) then  A⊂...

Q: 0.5 0.5 0.4 0.3 0.4 0.7 0.2 0.4 E 0.6 (i) Pr(B) (ii) Pr(F|B) 0.1 (iii) Pr(BN F) (iv) Pr(F) (v) Are B...

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Q: 1.) grea grapn. Please show your complete solution. Please write the solution and graph clearly and ...

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Q: TOPIC: CONDITIONAL PROBABILITY 3) One card is selected from a deck of cards find the probability th...

A: Given that  There are 52 card in the deck in which they divided into two color i.e red(26) and black...

Q: Provide an appropriate response. 14. In a game, you have a 1/36 probability of winning s85 and a 35/...

A: From the given data Find ( 14 ) Expected value =?

Q: The weights of 60 females in a physical education class are normally distributed with a mean of 135 ...

A: Obtain the Z-score for the random variable X equals 150 The Z-score for the random variable X equals...

Q: Three randomly selected children are surveyed. The ages of the children are 2, 6, and 7. Assume that...

A: Data given  2,2,2,6,2,7,6,2,6,6,6,7,7,2,7,6,7,7

Q: Calculate Standard Deviation and coefficient of variation.

A: Here given grouped frequency distribution of daily earning

Q: Given that P(A) = 0.2, P(B) 0.7, and P(A|B) 0.12. Then P(A B) 0.233 0.184 None of other options 0.20...

A: Let A and B are two events with P(A) = 0.2 , P(B) = 0.7, P(A/B) = 0.12 Then, We will find P(A'∩B') =...

Q: a. Let E be the event that a city in New York was founded before the year 1900. Determine p(E). Answ...

A: Out of all the cities in New York State, about 64.5% of them were founded before the year 1900 and r...

Q: A list of the top twenty restaurants in Chicago was released. Four of the restaurants specialize in ...

A: Given that  Total restaurants=20 Seafood restaurants=4 p=4/20=1/5=0.20 , q=1-p=1-0.20=0.80 5 of the ...

Q: The following data were collected by counting the number of operating rooms in use at Tampa General ...

A: Given that  The following data were collected by counting the number of operating rooms in use at Ta...

Q: On a Funopoly game board, property values (including railroads) range from $60 to $400. Additionally...

A: Required probability is P(Low value or on a lucky card)

Q: Raul and his sister, Francesca, helped cook dinner. The following dot plots show how many times they...

A: From the given dot plots Select the correct choice

Q: Get an education: In 2012 the General Social Survey asked 833 adults how many years of education the...

A: Given that; Sample size (n) = 833 Sample mean = 9.77 Standard deviation = 9.53 At 99% confidence int...

Q: We have found that the Chi-square computed is greater than the Chi-square table value. O The experim...

A: Chi square test is used to understand the association between the two categorical variable. It is ca...

Q: V find The Sample space for The experiment of throuing a Pink dicechce and define The event Er with ...

A: Solution

Q: Q3. A box contains six orange balls, four green balls, five yellow balls: 1- if a ball is drawn at r...

A:

Q: A community service award will be given to one of the 10 grade 7, 6 grade 8, 12 grade 9, and 15 grad...

A:

Q: that there are N hospitals in a market, each with s; percent of the market share, where E Si = 1. Re...

A: "Since you have posted a question with multiple sub-parts, we will solve the first three sub-parts f...

Q: Two unfair coins, both favoring heads, are tossed simultaneously for many trials, with the results s...

A: It is given that Frequency of two heads = 63 Frequency of one head and one tail = 102 Frequency of t...

Q: In rolling a die, the probability of getting odd number is an example of O sum rule O product rule

A: There are total 6 faces in a die. There are total 3 odd numbers (1,3,5).  Then the probability of ge...

Q: If a real estate office sells 1.6 houses on an average weekday and sales of houses on weekdays are P...

A:

Q: 1.) Find the area of the following z values and draw its graph. A.) From and to the left of z=2.0 B....

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Q: The household size in a certain neighborhood varies from 1 to 6 The probability distribution of the ...

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Q: Events A1, Az and A3 form a partiton of the sample space S with probabilities P(A¡) = 0.2, P(A2) = 0...

A:

Q: ABC Corporation is trying to forecast the effect of an upcoming environmental regulation on the vari...

A: Given Information: Consider the possible outcomes in the given study: The probability that the regu...

Q: According to Consumer Digest (July/August 1996), the probable location of personal com- puters (PC) ...

A: a) The probabilities that PC are in adult bedroom, child bedroom, other bedroom, office or den and i...