The average per capita income for residents of Pennsylvania is $32,711 with a standard deviation of $3,100. If the variable is normally distributed, find the probability that the mean income of a sample of 50 residents would be less than $33,000. Express your answer as a decimal to four decimal places. Your Answer: Answer

Q: .311 (Ringers are good.) Next week he plans to throw 350 shoes. Assume that Bill's tosses sat- .267 ...

A:

Q: How many six-digit even numbers less than 200 000 can be formed using all of the digits 1, 1, 2, 2, ...

A:

Q: What is the probability that a data value in a normal distribution is between a Z-score of -1.42 and...

A: Let Z be the random variable from normal distribution then we will find the probability between z = ...

Q: QUESTION 3 Events A and B are such that P(A)=0.4, P(B)=0.5 and P(AU B)=0.7. What can then be said ab...

A:  We have given that P(A) = 0.4 P(B) = 0.5 P(A∪B) = 0.7

Q: A certain product was found to have two types of minor defects. The probability that an item of the ...

A: Let A be the event of getting first type defect  Let B be the event of getting second type defect  P...

Q: Suppose a normal distribution has a mean of 98 and a standard deviation of 6. What is P(x2 104)? A. ...

A: We have given that.   X~N( μ , ?^2 )   μ=98   , ?=6   Z-score =( x - μ )/?

Q: -Example - 2: Suppose a continuous random variable X has the following probability density function ...

A:

Q: Exercise III.4. Suppose that for i i is a random variable R; which is uniformly distribution on [0.0...

A: Given that.      The interest rate obtained in the month i is a random variable Ri, which is the uni...

Q: (9) A sample of 200 (Two Hundred) college undergraduates was collected and the student's gender and ...

A: From the given data Find P ( female or drove ) =?

Q: expected number of times the ball numbered 1 is observed

A: Consider an urn containing 1000 balls. Suppose that the balls are numbered from 1 to 1000. If we dra...

Q: A production process manufactures electronic components with timing signals whose duration follows a...

A: Critical values are calculated by table 

Q: 45. A regression analysis yields the line ŷ = 18 + 0.25x. One of the subjects, Mary, has a = 40 and ...

A:

Q: A probability distribution of the claim sizes for an auto insurance policy appears in the following ...

A:     Now , we calculate the limits for one standard deviation of the mean , (μ - σ   , μ + σ) = (3....

Q: Illustration 18.1. The measured proport:on of success in a samplè of 25 is 0.5. (a) what is a 99% co...

A:

Q: A committee of 5 members will be chosen from a group of 10 teachers and 5 students. What is the prob...

A:

Q: (a) The names can be arranged in 2.433 x 1018 (Use scientific notation. Use the multiplication symbo...

A: The given information is  In an opera, the performers sing a chorus involving different names. The c...

Q: A pair of six-sided dice is rolled. What is the probability that the sum is 7 [ Choose ] the sum is ...

A:

Q: The Greek alphabet has 24 letters. How many fraternity names can be made using 1 to 3 letters if:

A: here given there are total 24 greek alpha bet now name can be made using 1 to 3 letters 

Q: 44. A regression analysis yields the line ŷ = 32 + 0.4x. One of the subjects, Racheal, has x = 60 an...

A:

Q: Suppose that the annual rate of return for a common biotechnology stock is normally distributed with...

A:

Q: Find the probability that in five years' time : (a) both machines will be performing a usual functio...

A: Here Given two machines A and B  And  Probability their preforming usual in 5 years time P(A)=14=0.2...

Q: 1. Identify and explain the three defining characteristics of the normal probability distribution 2....

A:  We have  Normal probability distribution  

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: A manager wants to award prizes for 1", 2nd and 3 to his team members according to number of new cli...

A: Given,The team is formed of 20 members ,

Q: A four-digit number is to be formed from the digits 0, 1, 2, 3, 5, 7, 8, and 9. How many four-digit ...

A: The digits are 0, 1, 2, 3, 5, 7, 8, and 9.

Q: Henry has an 8-sided die that he rolls a total of 40 times. He rolls the number 5 a total of nine ti...

A: Given information: Henry has an 8-sided die that he rolls a total of 40 times. He rolls the number 5...

Q: Explain what you can deduce based on the outcome/result of systolic BP and diastolic BP of different...

A: In the given question, we are given a ANOVA comparison between BP recordings for various positions. ...

Q: the two numbers are different [ Choose ] the two numbers are different and the sum [ Choose ] is odd...

A:

Q: ine data encounters are to be assigned to three jobs requiring 2, 3, and 4 encoders, respectively. H...

A: Given that  Number of data encounters (n) = 9  Number of jobs  = 3   We know that  By combinations w...

Q: QUESTION 6 In a deck of Uno cards, there are 76 number cards, 24 action cards, and 8 wild cards. Sup...

A: Given data,Number cards=76Action cards=24Wild cards=8Total no of cards=108Let A be event that you se...

Q: he following table showsthe relationship between your wealth and your utility.

A: Solution:  

Q: 2. Heidi plays horseshoes. There were 60 innings in which she had a double in the previous inning. I...

A: From the given information, Thee are 60 innings in which she had a double in the previous inning. In...

Q: A certain test is designed to measure the satisfaction of an individual with his/her relationship. S...

A:

Q: If a card is drawn randomly from a deck of 52 cards, what is the probability that the card is from t...

A: GivenTotal no.of cards in deck = 52

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: SITUATION 3 In a certain type of metal test specimen, the normal stress on a specimen is known to be...

A: Given : In a certain type of metal test specimen, the normal stress on a specimen is known to be fun...

Q: If R is the event that a convict committed armed robbery and D is the event that the convict pushed ...

A: a) The event R defines that a convict committed armed robbery.

Q: A mobile game designer is curious about people buying additional coins in the game to progress throu...

A:

Q: Solve the question: Tony and his team identified some risks during the first month of the Recreation...

A: Please find the solution below. Thank you

Q: A four-digit number is to be formed from the digits 0, 1, 2, 3, 5, 7, 8, and 9. How many four-digit ...

A:

Q: in hours) that teenagers spend playing video games per week. The distribution is approximately Norma...

A: Let X be the  teenagers spend playing video games per week  X~N(mean=14, standard deviation=4)   

Q: Question: A hypothesis test is to be performed. Determine the null and alternative hypotheses. The r...

A: Given data,μ=75Determine the null &amp; alternative hypothesis

Q: Given the cumulative distribution function of a discrete random variable X: x< 0.2 0.2 0.2 < x< 0.4 ...

A:

Q: A drum contains 4 black balls, 5 red balls and 6 green balls. If 5 balls are selected at random, fin...

A: Farmula used  nCr=n!/(r!(n-r)!)  r!=r(r-1)(r-2)x....x3x2x1   

Q: QUESTION 11 A card is drawn at random out of a deck of 52 cards, with return. This is repeaded 10 ti...

A:

Q: Find k such that the function is a probability density function over the given interval. Then write ...

A: We have given that  Probability density function pdf. f(x)=k  , [6,8] NOTE:- According to bartleby g...

Q: Copy of Two discrete independent random variables X and Y are such that X can take values 2,3,5 and ...

A: Given that  Probability mass function of X is x 2 3 5 P(X=x) 0.2 0.6 0.2 Probability mass fu...

Q: a survey of 150 freshman business students at a local university produced the results listed below. ...

A: 35 took history;42 took science;43 took religion;19 took history but not science;14 took science and...

Q: EXERCISE 118.3 (Defending territory) General A is defending territory accessible by two mountain pas...

A: Given General A has 3 division General B has 2 division Each General allocate his division between t...

Q: Let X be a continuous random variable with the following cumulative distribution function: x 2 Then ...

A: We have given that  Cumulative distribution function. F(x) First i want convert cdf to pdf  Differen...