Empirical Rule Question 7 l =1000, A certain brand of lightbulb lasts according to a normal distribution with J =50 hours. 'hours and Chapters 5 - 8 Test 2 Due April 21 (a) what is the probability that a lightbulb selected at random will last between 1000 and 1050 hours (b) what is the probability that a lightbulb selected at random will last between 850 hours and 900 hours. Questlon 6 Summit County 65% of the voter population are Republicans. What is the probability that a random sample of 10 Summit County voters will contain: (a) Exactly 8 Republicans? (b) Exactly 2 Republicans? (c) No Republicans? (d) All Republicans?

Q: Suppose we sample 4 values randomly and independently from the standard normal distribution. What is…

A: By using the given data:Sample size [n] =4Favorable cases [x] =-2.2Mean =0Standard deviation =1

Q: Married couple families make up 63% of households. We choose a random sample of 6 families. Using…

A: We have given that  Sample size n= 6  Success of probability p= 0.63 q= 0.37 X~binomial ( n, p )

Q: 20 1 point A population of scores has u = 10 and o = 2. If every score in the population is…

A:

Q: Let X be a random variable with probability distribution as shown below: -1sxs2 S(x)={3 and g(X)=4X…

A:

Q: Great Geysers! The time (in minutes) between geyser eruptions can be modeled with exponential…

A: As per Bartleby guidelines only three subparts can be answered. Kindly, resubmit the question with…

Q: 8. (a) A discrete random variable x has probability mass function defined by c(10 - z), for 1 = 1, 2…

A: Given, f(x)=c(10-x2),    for x=1,2c(18-x2),    for x=3,4

Q: Let X be a discrete random variable with probability function f(x) = kx for x = 0,2,5,7. The value…

A:

Q: Then the value of E(g(X)) is:

A: The E(g(X)) can be calculated as E(g(X)) = E(4 X + 3) = 4.E(Xhh) + 3

Q: et x be a random variable that represents white blood cell count per cubic milliliter of whole…

A:

Q: Number 19.

A: a)It is given that the population mean before treatment is given as 40, population mean after…

Q: sen the mean number (to the nearest whole number) of stidents who will finish the e less than I bour…

A: here use property of cumulative distribution

Q: A population of values has a normal distribution with u = 16.4 and o = 80.8. You intend to draw a…

A:

Q: The amounts of time per workout an athlete uses a stairclimber are normally distributed, with a mean…

A: GivenMean(μ)=21standard deviation(σ)=6

Q: A normal population has mean u = 8 and standard deviation o = 6. (a) What proportion of the…

A: Solution: Let X be the normal population with mean μ=8 and standard deviation σ=6 X~N(μ=8,σ=6)

Q: Let X be a random variable with probability distribution as shown below: -1srs2 S(x)={ and g(X)=4X+3…

A: We know that expected value of x is given by, E(X)= integration|x x*f(x)dx  = Integration|x=-12 x3/3…

Q: REM (rapid eye movement) sleep is sleep during which most dreams occur. Each night a person has both…

A: The formula for calculating the z- test statistic for two sample means is, The summary of the…

Q: 2) Finding the value of Za. a) The notation Z0.025 represents what percentile? b) Find the z-score…

A: The notation  is mentioned and the objective is to determine the percentile and compute the z-value…

Q: IQ score of people in a population are normally distributed with a mean of 110 and standard…

A: Answer:- Let, X be a random variable represents IQ score of people in a population are normally…

Q: probability that their mean rebuild time is less than 8.9 hours. fthe

A: Given that Mean time taken by a mechanic to re-build the the transmission is 8.4 hours  Mean(μ) =…

Q: Question * A certain machine makes electrical resistors having a mean resistance of 3.2 ohms and a…

A: At first the sample size is given 64 , so this is a Large Sample case and we can assume Central…

Q: Chlorouorocarbons (CFCs) are used in air conditioners. However, CFCs damage the ozone layer, which…

A: From the given information, the survey of 650 vehicles was undertaken. Each vehicle is identified as…

Q: The table summarizes results from 984 pedestrian deaths that were caused by automobile accidents.…

A:

Q: A certain mutual fund invests in both U.S. and foreign markets. Let x be a random variable that…

A: Given X = Monthly percentage return for the fund (a) The random variable x is a mean of a sample…

Q: ** (a) In a certain competitive examination, a candidate commits an average of i error in every 25…

A: Instruction : "Answer a,"   Given : The candidate on average commits 1 error in every 25 questions…

Q: REM (rapid eye movement) sleep is sleep during which most dreams occur. Each night a person has both…

A: Given: n1 = 9, x1 = 2.9, s1 = 0.7  n2 = 9,  x2 = 2.2, s2 = 0.5

Q: The article "Probabilistic failure evaluation of riveted railroad bridges" suggests th exponential…

A: Probabilistic failure evaluation of reverted railway bridges suggests the exponential model with…

Q: A random variable follows binomial distribution with parameters n = 43 and p= 0.56 Find the mean…

A: From the provided information, Sample size (n) = 43 And p = 0.56

Q: A certain machine makes electrical resistors having a mean resistance of 3.2 ohms and standard…

A: Normal distribution is a continuous distribution which has many real life applications. Normal curve…

Q: Let X be a continuous random variable with probability distribution as shown below: (x*(2x +), if0 <…

A:

Q: (b) Find P(2 < X< 5). Use four decimals.

A: The objective is to find P(2p(2≤x≤5) of an exponential distribution.

Q: Incomes are exponentially distributed with 2-0.0001. What fraction of the population has income (a)…

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

Q: how do i solve this

A: Hypotheses:The hypotheses to be tested are:H0: μ = 210 secVersus:H1: μ &gt;210 secCalculation of…

Q: A sample of 250 employees of a company is selected, and the average age is found to be 35 years.…

A: The average is 35 years.

Q: 20. A die is rolled 480 times. Find the mean and standard deviation of the number 2s that will be…

A: 20) The number of times the die is rolled is 480.

Q: Let X represent the time between each two cars passing the high way. Then X may follow: Chi-squared…

A: Let X represent the time between each two cars passing the high way.Then X may follow Poisson…

Q: b. During its normal (useful) life, find the probability that the product fails before 600 thousand…

A: The product’s time till failure is uniformly distributed over the range of 200 thousand to 1 million…

Q: Question * A random variable X can take only two values, 3 and 4 such that P(X = 3) = 0.44 and P(X =…

A:

Q: K The lengths of a particular animal's pregnancies are approximately normally distributed, with mean…

A:

Q: Let a and b are positive constants. If P(2 3) = 0.2. Then a and b equal to: %3D

A: We have to find a and b with the help of given distribution function and probabilities.

Q: The length of time of calls made to a support helpline follows an exponential distribution with an…

A: As per our guidelines we are supposed to answer only 3 subparts of any questions so i am solving…

Q: What type of distribution is appropriate to model the number of cars driving through a certain road…

A: Here looking for distribution of number of cars driving through a certain road between 2 and 3 pm on…

Q: Let X and Y be two discrete random variables with a joint probability distribution given by X-0 X-2…

A: P(X&gt;0 and Y&lt;=3) = P(X=2,4 and Y=1,3) =0.02+0.2+0.1+0.1 =0.42 (ans)