If X ~B(80,0.2), use the normal distribution to approximate the binomial distribution for: (ii) P(14≤X≤18)
Q: Suppose that X-bin(65,0.2). Using the normal approximation to the binomial distribution, P(12. < X…
A:
Q: Assume that adults have IQ scores that are normally distributed with a mean of μ=100 and a standard…
A:
Q: Assume the random variable x is normally distributed with mean u = 84 and standard deviation o = 5.…
A: Given that, Mean = 84 Standard deviation = 5
Q: The average THC content of marijuana sold on the street is 10.1%. Suppose the THC content is…
A:
Q: Suppose X has a Weibull distribution with B = 3 and 8 = 4000 . What is P(X > 4500)?
A:
Q: d) Due to the symmetry of the normal distribution we know that P(X > 28) = P(X < ).
A: GivenMean(μ)=44standard deviation(σ)=8Let "X" be the length(in cm) of aneel
Q: Assume that a procedure yields a binomial distribution with n=1421 trials and the probability of…
A: Solution
Q: Use the normal approximation to the binomial to find the probability for n=,10 p=0.5 and X≥8. Round…
A:
Q: 490 trials and the probability of succ Assume that a procedure yields a binomial distribution with n…
A: Given that n=490 and p=0.58 Mean of the binomial distribution, Mu=n*p=490*0.58=248.2 Standard…
Q: Evaluate P(7≥X≥3) for binomial variable with n=12 p=0.3 usig normal curve. show complete solution
A:
Q: Assume that a procedure yields a binomial distribution with n 1369 trials and the probability of…
A: We have given that the binomial distribution with parameters n=1369 and p=49% = 0.49. The pmf of…
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 mean amount of time it takes a kidney stone to pass is 14 days and the standard deviation is 4…
A: a) Denote the random variable X as force in kilograms applied to the tablet varies a bit. Here X…
Q: Suppose that the distance of fly balls hit to the outfield (in baseball) is normally distributed…
A: Given data Mean = 259 feet Standard deviation = 37 feet
Q: The random variable X follows a normal distribution ?(20, 102). (a) Find P(10 30 ).
A: Normal probability is a type of continuous probability distribution that can take random values on…
Q: 8. If the probability of a detective and standard deviation for the distribution of defective bolts…
A: We have to find mean and standard deviation for given data.
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 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: 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: 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: The following figure shows the normal distribution with the proportion of the area under the normal…
A: Given: μ = 269 σ = 33 Formula Used: z-score = X-μσ
Q: The mean amount of time it takes a kidney stone to pass is 14 days and the standard deviation is 6…
A: Given that Mean=14 Standard deviation=6
Q: The number of tourists arriving in a certain tourist destination is assumed to follow a Poisson…
A: Givendaily mean rate of 500 λ=500x~Poisson(λ=500)P(X=x)=e-λ×λxx! ; x≥0
Q: The following figure shows the normal distribution with the proportion of the area under the normal…
A:
Q: Suppose that X~bin(75,0.2). Using the normal approximation to the binomial distribution, P(14.< X <=…
A: GivenX~Binomial(75,0.2)
Q: the particular z value (zo) that satisfies (a) Pr (z ≥ zo) = .0099, (b) Pr (z ≤zo) = .8907, (c)…
A: given data standard normal distribution Z~N(0,1) we have to find value of z0 so that, (a) Pr (z ≥…
Q: a. What is the distribution of X? X ~ N(,) b. Find the probability that a randomly selected person…
A: a. The random variable X is defined as the time to pass the kidney stone which follows normal…
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: Suppose that x is a normally distributed with mean 36 and standard deviation 18, find the given…
A: Answer: From the given data, Mean (μ) = 36 Standard deviation(σ) = 18 X follows normal distribution,
Q: The effect of cloud seeding on suppression of damaging hail is being studied in your area by…
A: Given, The effect of cloud seeding on suppression of damaging hail is being studied in your area by…
Q: Assume that adults have IQ scores that are normally distributed with a mean of μ=100 and a standard…
A: Given Information: IQ scores are normally distributed with a mean of μ=100 and a standard deviation…
Q: The mean amount of time it takes a kidney stone to pass is 14 days and the standard deviation is 4…
A:
Q: Find the following probabilities. It may help to sketch the pdf for Standard Normal Distribution and…
A: If X~normal(266 , 16^2)mean =266and variance =16^2standard deviation =16to find : P(X<200)=?
Q: Previous studies have suggested that human body temperature is normally distributed with a mean of…
A: Given that body temperature is normally distributed with a mean of 98.6 and a standard deviation of…
Q: I will be using parenthesis as a substitute for more than and less than sign because it doesn't show…
A: We can write the given probability using two parts as: P(0 < z < 2.64)=P( z < 2.64) -…
Q: Assume that we have two normal distributions both with means 0 and standard deviations σ1 and σ2. If…
A: We are given two normal distributions with mean = 0 and standard deviations σ1 and σ2.
Q: a. What is the distribution of X? X ~ N(,) b. Find the probability that a randomly selected person…
A: a. The random variable X is time to pass the kidney stone which follows normal distribution with…
Q: ark has a batting average of 0.17. Let X be the number of hits in his next 16 at bats. What is the…
A: Given that Mark has a batting average of 0.17. Let X be the number of hits in his next 16 at bats.…
If X ~B(80,0.2), use the
Step by step
Solved in 2 steps with 2 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 mean amount of time it takes a kidney stone to pass is 13 days and the standard deviation is 6 days. Suppose that one individual is randomly chosen. Let X = time to pass the kidney stone. 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 with a kidney stone will take longer than 9 days to pass it. ___c. Find the minimum number for the upper quarter of the time to pass a kidney stone. ___ days.Suppose that the distance of fly balls hit to the outfield (in baseball) is normally distributed with a mean of 265 feet and a standard deviation of 40 feet. Let X be the distance in feet for a fly ball.a. What is the distribution of X? X ~ N(,)b. Find the probability that a randomly hit fly ball travels less than 264 feet. Round to 4 decimal places.
- The mean amount of time it takes a kidney stone to pass is 16 days and the standard deviation is 5 days. Suppose that one individual is randomly chosen. Let X = time to pass the kidney stone. 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 with a kidney stone will take longer than 12 days to pass it. c. Find the minimum number for the upper quarter of the time to pass a kidney stone. days.The 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. %Suppose that the distance of fly balls hit to the outfield (in baseball) is normally distributed with a mean of 275 feet and a standard deviation of 35 feet. Let X be the distance in feet for a fly ball. a. What is the distribution of X? X ~ N(,) b. Find the probability that a randomly hit fly ball travels less than 265 feet. Round to 4 decimal places.
- 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: minutesA 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. %
