Suppose that X is a normally distributed with a mean is 26 and standard deviation is 8 find the given probability, P(Z<28) Round to four decimals
Q: Suppose that X is a normally distributed with mean 26 and standard deviation 8 find the given…
A: Answer: From the given data, X is a normally distributed random variable. Mean μ = 26 Standard…
Q: The average amount of money spent for lunch per person in the college cafeteria is $6.89 and the…
A: As per our guidelines we are suppose to answer three sub-parts. Given,sample…
Q: The average amount of money spent for lunch per person in the college cafeteria is $6.88 and the…
A: Hey there.! Since you have posted the multiple questions as per the guidelines we can answer the…
Q: The average amount of money spent for lunch per person in the college cafeteria is $7.25 and the…
A: Given Mean=7.25 Standard deviations=2.53 n=40
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A: Answer: From the given data, mean (μ) = 39 Standard deviation(σ) = 18 X follows normal…
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A: Hey there! Thank you for posting the question. Since your question has more than 3 parts, we are…
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 amount of money spent for lunch per person in the college cafeteria is $6.82 and the…
A: Given that μ=6.82σ=2.99n=9 Let X be the amount of money spent for lunch per person in the college…
Q: Suppose that X is a normally distributed with a mean 28 and standard deviation 8 find the given…
A: Answer: From the given data, Mean (μ) = 28 Standard deviation(σ) = 8 X follows normal…
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…
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Q: The amount of time that people spend at Grover Hot Springs is normally distributed with a mean of 62…
A: “Since you have posted a question with multiple sub-parts, we will solve first three subparts for…
Q: For the group of 47 patrons, find the probability that the average lunch cost is between $6.44 and…
A: Given that Mean = 6.57 Standard deviation = 2.93 Sample size = 47
Q: The amount of time that people spend at Grover Hot Springs is normally distributed with a mean of 70…
A: (a) X ~ N(70, 14) (b) P(X>85) = P(Z>85-7314) = P(Z>0.8571)…
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Q: The average amount of money spent for lunch per person in the college cafeteria is $6.25 and the…
A: 1. The distribution of X is, X~N($6.25, $2.67).
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A: The mean is 71 and the standard deviation is 10.
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A: Given , Let , X be the amount of money spent for lunch per person in the college. The random…
Q: The amount of time that people spend at Grover Hot Springs is normally distributed with a mean of 62…
A: Note: Hi there! Thank you for posting the questions. As there are multiple sub parts, according to…
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,…
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A: Given data, μ=71σ=19n=18we have to complete the distribution and their probabilities
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Q: The amount of time that people spend at Grover Hot Springs is normally distributed with a mean of 75…
A: Hello, since your question has multiple sub-parts, we will solve first three sub-parts for you. If…
Q: The average amount of money spent for lunch per person in the college cafeteria is $6.73 and the…
A: a) Distribution of X is Normal Distribution with mean = = 6.73 and SD = 2.12 i.e., X N (6.73,…
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Q: Suppose that X is a normally distributed with mean 29 and standard deviation is 8 find the given…
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Q: The amount of time that people spend at Grover Hot Springs is normally distributed with a mean of 62…
A: Hey there! Thank you for posting the question. Since your question has more than 3 parts, we are…
Suppose that X is a
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- The amount of time that people spend at Grover Hot Springs is normally distributed with a mean of 71 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 90 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 THC content of marijuana sold on the street is 9.4%. Suppose the THC content is normally distributed with 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(Correct,Correct) b. Find the probability that a randomly selected bag of marijuana sold on the street will have a THC content greater than 9.7. c. Find the 67th percentile for this distribution. %Assume that the amount of weight that male college students gain during their freshman year are normally distributed with a. Mean of u= 1.2 kg and a standard deviation of o= 5.1 kg A. If 1 male college student is randomly selected, Find the probability that he gains between 0 and 3 kg during freshman year B. If 25 male college students are randomly selected find the probability that their mean weight gain during freshman year is between 0 and 3 kg why can the normal distribution be used on pet b even though the sample size does not exceed 30?
- A bus heading to university is always scheduled to arrive at a certain bus stop at 7:30am. The difference between the actual arrival time and 7:30am is normally distributed with mean 0 and standard deviation of 2 minutes.A student who always has a class at 8am decided to be at the bus stop at 7:28am in order to try to guarantee catching this bus. What is the probability that the student will catch the bus on any particular day?Probability = What is the probability that the student will catch the bus at least 4 times out of 5 days?Probability =Suppose that the amount of time that students spend studying in the library in one sitting is normally distributed with mean 47 minutes and standard deviation 17 minutes. A researcher observed 49 students who entered the library to study. Round all answers to 4 decimal places where possible. 1.If one randomly selected student is timed, find the probability that this student's time will be between 45 and 49 minutes 2.For the 49 students, find the probability that their average time studying is between 45 and 49 minutes. 3.The top 10% of the total study time for groups of 49 students will be given a sticker that says "Great dedication". What is the least total time that a group can study and still receive a sticker? minutesThe amount of time that people spend at Grover Hot Springs is normally distributed with a mean of 68 minutes and a standard deviation of 14 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 82 minutes. c. The park service is considering offering a discount for the 5% 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.
- The average amount of money spent for lunch per person in the college cafeteria is $7.11 and the standard deviation is $2.1. Suppose that 42 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 XX? XX~ N(,) What is the distribution of ¯xx¯? ¯xx¯~ N(,) For a single randomly selected lunch patron, find the probability that this patron's lunch cost is between $7.294 and $7.636. For the group of 42 patrons, find the probability that the average lunch cost is between $7.294 and $7.636. For part d), is the assumption that the distribution is normal necessary? Yes or NoThe average THC content of marijuana sold on the street is 9.7%. Suppose the THC content is normally distributed with 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(Correct,Correct) b. Find the probability that a randomly selected bag of marijuana sold on the street will have a THC content greater than 8.4. c. Find the 65th percentile for this distribution. % Submit QuestionQuestion 7The average number of shoppers at a particular grocery store in one day is 505, and the standard deviation is 115. The number of shoppers is normally distributed. For a random day, what is the probability that there are between 200 and 400 shoppers at the grocery store? The answer should be typed as a decimal with 4 decimal places.
- Today, the waves are crashing onto the beach every 5.1 seconds. The times from when a person arrives at the shoreline until a crashing wave is observed follows a Uniform distribution from 0 to 5.1 seconds. Round to 4 decimal places where possible. The mean of this distribution is The standard deviation is The probability that wave will crash onto the beach exactly 1.4 seconds after the person arrives is P(x = 1.4) = The probability that the wave will crash onto the beach between 1.3 and 4.7 seconds after the person arrives is P(1.3 < x < 4.7) = The probability that it will take longer than 3.92 seconds for the wave to crash onto the beach after the person arrives is P(x > 3.92) = Suppose that the person has already been standing at the shoreline for 1.1 seconds without a wave crashing in. Find the probability that it will take between 2.4 and 3.8 seconds for the wave to crash onto the shoreline. 84% of the time a person will wait at least how long before the wave crashes in?…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: minutesIf 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
