2. Find the following probabilities using the STANDARD NORMAL distribution (mean=0, stan. dev.=1) P(00.25)
Q: The average THC content of marijuana sold on the street is 9.1%. Suppose the THC content is normally…
A: It is given that the mean and standard deviation are 9.1% and 1%, respectively.
Q: The patient recovery time from a particular surgical procedure is normally distributed with a mean…
A: Note- As per our policy we can answer only the first 3 sub-parts of a question. If you want…
Q: Suppose that X is a normally distributed with a mean is 26 and standard deviation is 8 find the…
A: The Z-score for the random variable X equals 28 is obtained below as follows: From the…
Q: The average THC content of marijuana sold on the street is 10.1%. Suppose the THC content is…
A:
Q: The patient recovery time from a particular surgical procedure is normally distributed with a mean…
A: Solution: Note: Hello! As you have posted 2 different questions, we are answering the first…
Q: Suppose the lengths of the pregnancies of a certain animal are approximately normally distributed…
A: The lengths of the pregnancies of a certain animal are approximately normally distributed with mean…
Q: The average amount of money spent for lunch per person in the college cafeteria is $6.13 and the…
A: Solution: Note: Hello! As you have posted more than 3 sub parts, we are answering the first 3…
Q: The average THC content of marijuana sold on the street is 9.3%. Suppose the THC content is normally…
A: a.Find the distribution of X:Consider the variable THC content of marijuana sold on the street be…
Q: The average THC content of marijuana sold on the street is 10.8%. Suppose the THC content is…
A: Given information normally distributed with mean = 10.8% and standard deviation = 2%.(a)Let ‘X’ be…
Q: The average amount of money spent for lunch per person in the college cafeteria is $5.96 and the…
A: Note: Thank you for the question. Since multiple subparts are posted, according to our policy, we…
Q: The average THC content of marijuana sold on the street is 10.6%. Suppose the THC content is…
A: The average THC content of marijuana sold on the street is 10.6%. Suppose the THC content is…
Q: The average number of miles (in thousands) that a car's tire will function before needing…
A: The mean is 71 and the standard deviation is 10.
Q: The weekly wages of workers are normally distributed with mean Riyals 70 and standard deviation…
A: Given data Mean μ = 70 Standard deviation ? = 5 Probability that the wage of a worker is between 69…
Q: he average number of miles (in thousands) that a car's tire will function before needing replacement…
A: X~N( μ , ?) μ=74 , ?=10 , n=48 Z-score =( x - μ )/? NOTE:- According to bartleby guidelines…
Q: The average amount of money spent for lunch per person in the college cafeteria is $5.99 and the…
A: Given , Let , X be the amount of money spent for lunch per person in the college. The random…
Q: Assume that X is normally distributed with a meanof 10 and a standard deviation of 2. Determine…
A: Given: Formula:
Q: The amount of time that people spend at Grover Hot Springs is normally distributed with a mean of 78…
A: Introduction :- Let X = The amount of time that person spent at Grover Hot Springs. Given that,…
Q: The average number of miles (in thousands) that a car's tire will function before needing…
A: “Since you have posted multiple questions with multiple sub parts, we will provide the solution only…
Q: The capacitances of certain electronic components have a normal distribution with a mean u = 175 ar…
A: Given : The capacitances of certain electronic components have a normal dist. with Mean (μ) = 175…
Q: The average number of miles (in thousands) that a car's tire will function before needing…
A: According to bartleby expert guidelines we can answer only first three subparts. Rest can be…
Q: Assume thoat X is a normnally distributed random variable with a mean ofu and a standard deviation…
A: Given that mean is μ. And standard deviation is: σ=0.15 PX≤2=0.0125 According to formula:…
Q: The average THC content of marijuana sold on the street is 10.1%. Suppose the THC content is…
A: The normal distribution is the most useful theoretical distribution for continuous variables.…
Q: Suppose x has a distribution with a mean of 90 and a standard deviation of 27. Random samples of…
A: According to the provided information, Mean (μ) = 90 Standard Deviation (σ) = 27 Sample Size (n) =…
Q: he patient recovery time from a particular surgical procedure is normally distributed with a mean of…
A: Hi! Thank you for the question, As per the honor code, we are allowed to answer three sub-parts at a…
Q: Suppose that the distance of fly balls hit to the outfield (in baseball) is normally distributed…
A: The mean is 265 feet and a standard deviation is 45 feet.
Q: Let � represent the full height of a certain species of tree. Assume that � has a normal probability…
A: From the provided information,
Q: The average number of miles (in thousands) that a car's tire will function before needing…
A: Given dataMean = 68Standard deviation = 12As per binomial approximationMean = np > 5 and standard…
Q: For a package delivery business, historical data shows that delivery times follow a Normal…
A: Given that X~N(μ= 60 , σ= 10 ) μ= 60 , σ= 10
Q: The average THC content of marijuana sold on the street is 9.9%. Suppose the THC content is normally…
A: X follows a Normal distribution with mean = 9.9 and S.D = 1 Then z=(x-mean)/SD = (x-9.9)/1…
Q: O Part (a) In words, define the random variable X. O the mean time of all trials the length, in…
A:
Q: The average amount of money spent for lunch per person in the college cafeteria is $7.41 and the…
A:
Q: Suppose that X is a normally distributed with mean 29 and standard deviation is 8 find the given…
A: Population mean, μ=29 Population standard deviation, σ=8
Q: ) is greater than or equal to 5, Estimate (P) at least 3 if n=13 and p=0.5 using normal distribution…
A: The mean is computed as: The standard deviation is computed as:
Q: If the variable Z is normally distributed with mean equal to 0 and standard deviation equal to 1.…
A: the variable Z is normally distributed with mean equal to 0 and standard deviation equal to 1.
Q: The length of a movie file that is available for streaming is modeled using the normal distribution…
A:
Q: A lot of 75 washers contains 6 defectives whose variability in thickness is unacceptably large. A…
A: Given information- We have given a lot of 75 washers contains 6 defectives whose variability in…
Q: The average THC content of marijuana sold on the street is 10.6%. Suppose the THC content is…
A:
Q: Assume that the amount of weight that male college students gain during their freshman year are…
A: NNote: this probability value calculated from standard normal distribution table
Step by step
Solved in 4 steps with 5 images
- The average amount of money spent for lunch per person in the college cafeteria is $6.06 and the standard deviation is $2.82. Suppose that 41 randomly selected lunch patrons are observed. Assume the distribution of money spent is normal, and round all answers to 4 decimal places where possible. What is the distribution of X? X ~ N( , ) What is the distribution of x¯? x¯ ~ N( , ) For a single randomly selected lunch patron, find the probability that this patron's lunch cost is between $6.32 and $6.63. For the group of 41 patrons, find the probability that the average lunch cost is between $6.32 and $6.63. For part d), is the assumption that the distribution is normal necessary? YesNoThe average THC content of marijuana sold on the street is 10.4%. Suppose the THC content is normally distributed with a standard deviation of 1%. Let X be the THC content for a randomly selected bag of marijuana that is sold on the street. Round all answers to 4 decimal places where possible,a. What is the distribution of X? X ~ N(,)b. Find the probability that a randomly selected bag of marijuana sold on the street will have a THC content greater than 10.3. c. Find the 75th percentile for this distribution. %The patient recovery time from a particular surgical procedure is normally distributed with a mean of 3 days and a standard deviation of 1.9 days. Let X be the recovery time for a randomly selected patient. Round all answers to 4 decimal places where possible.a. What is the distribution of X? X ~ N(,)b. What is the median recovery time? daysc. What is the Z-score for a patient that took 4 days to recover? d. What is the probability of spending more than 3.9 days in recovery? e. What is the probability of spending between 2.4 and 3.3 days in recovery? f. The 85th percentile for recovery times is days. PLEASE ANSWERR ALLL QUESTIONS!! PLEASE STOP JUST ANSWERING 3 !!!
- The patient recovery time from a particular surgical procedure is normally distributed with a mean of 3 days and a standard deviation of 1.7 days. Let X be the recovery time for a randomly selected patient. Round all answers to 4 decimal places where possible.a. What is the distribution of X? X ~ N(,)b. What is the median recovery time? daysc. What is the Z-score for a patient that took 4.2 days to recover? d. What is the probability of spending more than 3.3 days in recovery? e. What is the probability of spending between 3.4 and 4.1 days in recovery? f. The 90th percentile for recovery times is days.The noon-day temperature (in °C) in Ajax last winter can be represented by the normal distribution X~N( 6, 62). How often was it above - 3°C at noon in Ajax last winter? Make a sketch.The amount of time that people spend at Grover Hot Springs is normally distributed with a mean of 62 minutes and a standard deviation of 17 minutes. Suppose one person at the hot springs is randomly chosen. Let X = the amount of time that person spent at Grover Hot Springs . Round all answers to 4 decimal places where possible.a. What is the distribution of X? X ~ N(,)b. Find the probability that a randomly selected person at the hot springs stays longer then 70 minutes. c. The park service is considering offering a discount for the 8% of their patrons who spend the least time at the hot springs. What is the longest amount of time a patron can spend at the hot springs and still receive the discount? minutes.d. Find the Inter Quartile Range (IQR) for time spent at the hot springs.Q1: minutesQ3: minutesIQR: minutes
- A normal distribution has a mean of M=100 with o (stand dev)=20. If one score is randomly selected from this distribution, what is the probability that the score will be less than X=82?The average THC content of marijuana sold on the street is 10.9%. Suppose the THC content is normally distributed with standard deviation of 2%. Let X be the THC content for a randomly selected bag of marijuana that is sold on the street. Round all answers to 4 decimal places where possible,a. What is the distribution of X? X ~ N(,)b. Find the probability that a randomly selected bag of marijuana sold on the street will have a THC content greater than 10.8. c. Find the 79th percentile for this distribution. %If X is a normally distributed with a mean is 32 and standard deviation is 12 find the given probability, P(X<45) Round to four decimals
- The average number of miles (in thousands) that a car's tire will function before needing replacement is 66 and the standard deviation is 14. Suppose that 18 randomly selected tires are tested. Round all answers to 4 decimal places where possible and assume a normal distribution. a. What is the distribution of X? X ~ N( b. What is the distribution of x? x ~ N( c. If a randomly selected individual tire is tested, find the probability that the number of miles (in thousands) before it will need replacement is between 69.1 and 73. d. For the 18 tires tested, find the probability that the average miles (in thousands) before need of replacement is between 69.1 and 73. Yes O No e. For part d), is the assumption that the distribution is normal necessary?The amount of time that people spend at Grover Hot Springs is normally distributed with a mean of 79 minutes and a standard deviation of 18 minutes. Suppose one person at the hot springs is randomly chosen. Let X = the amount of time that person spent at Grover Hot Springs . Round all answers to 4 decimal places where possible. a. What is the distribution of X? X ~ N( , ) b. Find the probability that a randomly selected person at the hot springs stays longer then 96 minutes. ____c. The park service is considering offering a discount for the 7% of their patrons who spend the least time at the hot springs. What is the longest amount of time a patron can spend at the hot springs and still receive the discount? ____ minutes. d. Find the Inter Quartile Range (IQR) for time spent at the hot springs.Q1: ___ minutes Q3: ___ minutes IQR: ___ minutesThe average sunshine hours per year in a city have a normal distribution with a mean of 1,789 hours and a standard deviation of 94 hours. Use the normal distribution tables to determine the probability that the sunshine hours per year are: Less than 2,061.6 hours : P(x2,061.6) = • Between 1,842.58 and 1,865.14 hours: P (1,842.58 1,865.14) : = Keep 2 decimal points in the calculation of the standard normal variable (z).