Use the normal approximation to find the probabilities for the specific value(s) of X. a. n= 10, p = 0.5, X27 b. n = 20, p = 0.7, X<12 c.. n = 50, p = 0.6, XS40
Q: Assume that adults have IQ scores that are normally distributed with a mean of μ=100 and a standard…
A:
Q: Suppose that X is a normal random variable with a standard deviation of a =8. Ifwe know that Pr[X >…
A:
Q: The profits of a mobile company are normally distributed with Mean of R.O (18 x 10) and a standard…
A:
Q: Assume that adults have IQ scores that are normally distributed with a mean of y = 100 and a…
A: The objective of this question is to find the probability that a randomly selected adult has an IQ…
Q: 10. Let z, = -1.8 and under the standard normal curve as shown at the right using 2, and z,? z,…
A: Answer: Option B. P-1.8<z<-0.25
Q: Let X be any distribution that has a mean of 50 and a standard deviation of 10. If you took a sample…
A:
Q: The average THC content of marijuana sold on the street is 9.6%. Suppose the THC content is normally…
A: From the provided information, Mean (µ) = 9.6 Standard deviation (σ) = 1
Q: Assume that the readings at freezing on a bundle of thermometers are normally distributed with a…
A:
Q: Mark has a batting average of 0.17. Let X be the number of hits in his next 16 at bats. What is the…
A: The random variable of number of hits in his bats follows binomial distribution. The probability…
Q: Let X represent the full height of certain species of tree. Assume that X is normally distributed…
A: Given data,μ=35.2σ=28.7P(X>58.2)=?
Q: Assume that adults have IQ scores that are normally distributed with a mean of μ=100 and a standard…
A: The provided information are: μ=100σ=15 X=IQ scores of adults X~N(μ=100,σ=15) to calculate the…
Q: The average THC content of marijuana sold on the street is 10.4%. Suppose the THC content is…
A: The random variable X is the THC content of a bag of marijuana that is sold on the street It is…
Q: Let x be a ramdom variable that represents the temperatures, in degrees Farenheit, of an adult. Then…
A:
Q: assume that X is normally distributed with a mean 135 and standard deviation of 45. find the…
A:
Q: The profits of a mobile company are normally distributed with Mean of R.O (D*10) and standard…
A:
Q: The profits of a mobile company are normally distributed with Mean of R.O (18 x 10) and standard…
A: a. It is given that the profits of a mobile company follow normal distribution with mean (18×10) =…
Q: The probability that a randomly selected adult has an IQ less than 128 is (Type an integer or…
A: Given: Consider X as a random variable that follows a normal distribution with mean 22 and…
Q: Find the probability that a single randomly selected policy has a mean value between 177626.5 and…
A: Please find the explanation below. Thank you.
Q: Let X be a random variable with a normal distribution with a mean of 100 and a standard deviation of…
A: We have given that Mean(µ) = 100Standard deviations (σ) = 20X ~ N (µ, σ )= N(100, 20)
Q: Assume that women's weights are normally distributed with a mean given by u = 143 lb and a standard…
A: Let X be the weight of a randomly selected women. X~N(143 lb, 292lb) (a) P(X>174)…
Q: The percent of fat calories that a person consumes each day is normally distributed with a mean of…
A: From the provided information,n = 25
Q: Assume that the readings at freezing on a bundle of thermometers are normally distributed with a…
A: GivenMean(μ)=0οCstandard deviation(σ)=1.00oC
Q: You are given that x=164.7 cm and 0x=7.1 cm, where X is the height of a random female living in the…
A:
Q: assume that X is normally distributed with a mean 1550 and standard deviation of 75. find the…
A:
Q: Assume that X is normally distributed with a mean of 12 and a standard deviation of 2. Determine…
A: Given information is as follows; Mean , µ = 12. Standard deviation , σ = 2. Then X ~ Normal ( µ =…
Q: assume that X is normally distributed with a mean 210 and standard deviation of 60. find the…
A:
Q: Suppose that the distance of fly balls hit to the outfield (in baseball) is normally distributed…
A: Let X be the distance in feet for a fly ball Given mean, μ = 270 feet Standard deviation, σ=42 feet
Q: 6. Use R: Suppose the yearly income of people in Minnesota is normally distributed with mean 45700…
A: The given mean is 45700 and standard deviation is 2830.
Q: a) Give the distribution of X (Round your standard deviation to two decimal places.) b.(b) For the…
A: a. (a) As the population standard deviation is known, it can be said that the distribution follows…
Q: variable X with mean µ = 80 mm. Assume that the amount of rainfall is normally distributed with…
A: The random variable is defined as, the average rainfall in September in Makebelieve land.The random…
Q: Dandelions are studied for their effects on crop production and lawn growth. In one region, the mean…
A: Since the probability for the given variable (that is discrete in nature), i.e., the probability of…
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: Given X~N(50,16) and P(X > 25). The z-score value is: А. 25 – 50 С. 25 – 50 Z = 4 16 В. D. Z = 50 –…
A: Since, you have asked multiple questions, we will solve the first question for you. If you want a…
Q: Find the probability that a randomly selected adult has an IQ between 91 and 119.
A: Let X denote the IQ scores of the adults. Given that X follows N(mean = 105, SD = 15), then Z = (X…
Q: Let X represent the full height of a certain species of tree. Assume that X has a normal probability…
A: Given information- Population mean, μ = 6.9 ft Population standard deviation, σ = 41.4 ft Let, X,…
Q: The average time it takes to be vaccinated is 5 minutes with the standard deviation of 1 minute.…
A: Given,mean(μ)=5standaard deviation(σ)=1
Q: Dandelions are studied for their effects on crop production and lawn growth. In one region, the mean…
A: Given: The mean number of dandelions per square meter is λ = 8 Formula Used: If a random variable X…
Q: Assume that adults have IQ scores that are normally distributed with a mean of μ = 105 and a…
A: normal distributionμ = 105σ = 20P(x<141) = ?
Trending now
This is a popular solution!
Step by step
Solved in 4 steps
- Mark has a batting average of 0.17. Let X be the number of hits in his next 16 at bats. What is the distribution of X? X (,) Please show the following answers to 4 decimal places. What is the probability that he has exactly 7 hits? 0.0088 What is the probability that he has less than 7 hits?assume that X is normally distributed with a mean 150 and standard deviation of 40. find the probability that (A) x is less then 145 and (B) x is grater then 170assume that X is normally distributed with a mean 180 and standard deviation of 56. find the probability that (A) x is less then 115and (B) x is grater then 154
- Let x denote the IQ of an individual selected at random from a certain population. The value of x must be a whole number. Suppose that the distribution of x can be approximated by a normal distribution with mean value 100 and standard deviation 15. Approximate the following probabilities. (b) P(x ≤ 130) (c) P(x < 130) (Hint: x < 130 is the same as x ≤ 129.)The average number of emergency telephone calls to the fire station in a certain area in 't' minutes is (t/80). If the probability that no emergency call is made to the fire station in a period of 'k' minutes is 0.9, find 'k'. * 8.429 8.249 5.745 9.326The average THC content of marijuana sold on the street is 11%. 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. a. What is the distribution of X? X - N( 11 1 b. Find the probability that a randomly selected bag of marijuana sold on the street will have a THC content greater than 10.3. Round to 4 decimal places. c. Find the 77th percentile for this distribution. Round to 2 decimal places. %
- assume that X is normally distributed with a mean 160 and standard deviation of 45. find the probability that (A) x is less then 159 and (B) x is grater then 160= Assume that the probability of a being born with Genetic Condition B is p sample of 291 volunteers. 29/30. A study looks at a random Find the most likely number of the 291 volunteers to have Genetic Condition B. (Round answer to one decimal place.) P = Let X represent the number of volunteers (out of 291) who have Genetic Condition B. Find the standard deviation for the probability distribution of X. (Round answer to two decimal places.) O= Use the range rule of thumb to find the minimum usual value µ-20 and the maximum usual value μ+2o. Enter answer as an interval using square-brackets only with whole numbers. usual values =Assume that women's weights are normally distributed with a mean given by μ=143 lb and a standard deviation given by 29 lb.(a) If 1 woman is randomly selected, find the probabity that her weight is between 113 lb and 172 lb(b) If 3 women are randomly selected, find the probability that they have a mean weight between 113 lb and 172 lb(c) If 73 women are randomly selected, find the probability that they have a mean weight between 113 lb and 172 lb
- Let x be a random variable that represents red blood cell count (RBC) in millions of cells per cubic millimeter of whole blood. Then x has a distribution that is approximately normal, For the population of healthy female adults, suppose the mean of the x distribution is about 4.64, Suppose that a female patient has taken six laboratory blod tests over the past several months and that the RBC count data sent to the patient's doctor are as follows. 4.9 4.2 4.5 4.1 4.4 4.3 () Use a calculator with sample mean and standard deviation keys to find x and s. (Round your answers to two decimal places.) C) Do the given data indicate that the pooulation mean RBC count for this patient is lower than 4.647 Use a- 0.05. (a) What is the level of significance? State the nul and alternate hypotheses. O Hn: 4- 4.64; H: 4.64 O Ho: H> 4.64; H:u- 4.64 O Hn: H- 4.64; H: H 4.64 (b) What sampling distribution will you use? Explain the rationale for your choice of sampling distribution. O The standard normal,…R3Let Y1....,Yn be a random sample from a normal distribution with mean 30 and standard deviation 3. What is the probability the largest observation is greater than 30?