The lengths of pregnancies are normally distributed with a mean of 266 days and a standard deviation of 15 days. a. Find the probability of a pregnancy lasting307days or longer. b. If the length of pregnancy is in the lowest33​%,then the baby is premature. Find the length that separates premature babies from those who are not premature

Q: e number of milligrams (mg) of cholesterol in a cup of a certain brand of ice cream is 660 mg, the…

A: Given,   μ=660σ=35

Q: Assume that the height of people, measured in inches, has a normal distribution with a mean of 65…

A:

Q: In a normal distribution, find the mean if the standard deviation is 100, and 70.19% of the total…

A: Given that the standard deviation is 100 and 70.19% of the total area lies to the right of 500. That…

Q: Traveling between two campuses of a university in a city via shuttle bus takes, on average, 31…

A: P(X>30)=1-Pz<30-311045=1-P(z<-0.67)=1-0.2514=0.7486

Q: The mean daily production of a herd of cows is assumed to be normally distributed with a an of 37…

A: 37 Obtain the standard z-score for the random variable equals 26.1 liters. The standard z-score for…

Q: The monthly utility bills in a city are normally​ distributed, with a mean of $100 and a standard…

A: Solution: Let X be the monthly utility bills in a city. From the given information, X follows normal…

Q: 6. If the probability of a defective bolt is 0.1, find (a) the mean (b) the standard deviation for…

A: Given,n=400Probability of success(p)=0.1Probability of failure(q)=1-0.1=0.9here we can use binomial…

Q: The heights of all female college basketball players produce a distribution that is approximately…

A:

Q: The starting salary for a computer programmer major has a mean of $39,269 and a standard deviation…

A: Note: Hey there! Thank you for the question. Although the mean and standard deviation of the…

Q: Traveling between two campuses of a university in a city via shuttle bus takes, on average, 28…

A: P(X<30)=Pz<30-28540=P(z<2.53)=0.9943

Q: Given a distribution that has a mean of 37 and a standard deviation of 12, calculate the probability…

A:

Q: The distribution of the number of viewers for the American idol television show follows a normal…

A: a) Probability that next week show will have between 30 and 34 million viewers: The probability that…

Q: The golf scores for a school team were normally distributed with a mean of 72 and a standard…

A: The Z-score of a random variable X is defined as follows: Z = (X – µ)/σ. Here, µ and σ are the mean…

Q: The spending at Target is distributed normally with a mean spending of $45.67 and a standard…

A: According to the provided information, mean = $45.67  standard deviation = $5.50

Q: The average number of milligrams (mg) of sodium in a certain brand of low-salt microwave frozen…

A: Solution:

Q: The diameters of watermelons at a local supermarket are normally distributed with a mean of 10…

A: Let X denote diameters of watermelons at a local supermarket. Given that X follows Normal(mean = 10,…

Q: The average credit card debt for public school teacher is 14,975. If the debt is normally…

A: Given, Average credit card debt for public school teacher=X=14975 Standard deviation= 5650…

Q: The monthly utility bills in a city are normally​ distributed, with a mean of ​$100 and a standard…

A:

Q: The heights of 100 high school students are measured, with a mean of 175 cm and a standard deviation…

A:

Q: The monthly utility bills in a city are normally distributed, with a mean of $100 and a standard…

A: Here, mean is $100 and standard deviation is $14.

Q: The monthly utility bills in a city are normally distributed, with a mean of $100 and a standard…

A: Given Data Population Mean,μ = 100.0 Population Standard Deviation,σ = 12.0

Q: Assume that women's weights are normally distributed with a mean given by ?=143 lb and a standard…

A: We have to find probability using z table.

Q: Assume the heights of women are normally distributed with a mean of 63.6 inches and a standard…

A: Given data Mean (µ) = 63.6 inches Standard Deviation(σ) = 2.5 inches Sample size (n)= 75 probability…

Q: The spending at Target is distributed normally with a mean spending of $47.67 and a standard…

A:

Q: For a certain species of snake, the mean length of an adult is 63.4 cm with a standard deviation of…

A:

Q: The wind speeds throughout the month of April were normally distributed with a mean of 17 mph and a…

A: We have given that  X~N(mu,sigma ^2) mu=17,sigma =4 Z-socre =(x-mu)/sigma

Q: Assume that the height of people, measured in inches, has a normal distribution with a mean of 65…

A:

Q: The average grade for an exam is 74, and the standard deviation is 7. If 12% of the class is given…

A: Let the random variable X denote grade score. Then, X~Nμ, σ2 with μ=74 and σ=7. Let α be the lowest…

Q: Given a scenario where n=100 and p=0.8, find the standard deviation.

A: In this case the sample size is n = 100 and p = 0.8.

Q: "The weights of 1,000 children, in average, is 46kg with standard deviation of 11kg. Suppose the…

A: Consider that the mean and standard deviation of a random variable X are µ and σ, respectively.…

Q: Find the indicated probability. The incomes of trainees at a local mill are normally distributed…

A: We have given that,  X be the random variable from normal distribution with mean (μ) = 1100,…

Q: In a dorm, the weights of the students are normally distributed with mean 175 lbs and standard…

A:

Q: The distribution of the number of viewers for the American Idol television show follows a normal…

A:

Q: The average number of hours worked per week for college students is 27, and the standard deviation…

A: As per guidelines expert have to answer first question only dear student please upload other…

Q: The diameter of the dot produced by a printer is normally distributed with a mean diameter of 0.002…

A: Given, μ=0.002σ=0.0004 X be a random variable that belongs the diameter of the dot produced by…

Q: . If the probability of a defective bolt is 0.1, find (a) the mean (b) the standard deviation for…

A:

Q: MCAT scores are normally distributed with a mean of ? ​​= 501.5 and a standard deviation of ? =…

A: Given: Population mean μ = 501.5 Population standard deviation σ = 10.7 Formula Used: Z-score = X-μσ

Q: The arrival schedule of an ETS train from Kuala Lumpur to Sungai Petani follows a normal…

A: Given: X~N(μ,σ)μ=0954σ=7.4 The train is expected to arrive at 0948.

Q: The monthly utility bills in a city are normally​ distributed, with a mean of ​$100 and a standard…

A: It is given that the mean is 100 and the standard deviation is 15.

Q: The life expectancy of Timely brand watches is normally distributed with a mean of four years and a…

A: Given that The life expectancy of Timely brand watches is normally distributed with a mean of four…

Q: A 12 oz can of soda has a mean volume of 12 oz ,with a standard deviation of .25 oz. How common are…

A: Given,mean(μ)=12 ozstandard deviation(σ)=0.25 oz

Q: The monthly utility bills in a city are normally​ distributed, with a mean of ​$100 and a standard…

A: Given : mean = 100 Standard deviation = 13

Q: Use the normal distribution of fish lengths for which the mean is 8 inches and the standard…

A: The Z-score of a random variable X is defined as follows: Z = (X – µ)/σ. Here, µ and σ are the mean…

Q: are normally​ distributed, with a mean of $100 and a standard deviation of ​$13. Find the…

A: Given: μ=100, σ=13 The corresponding z-values needed to be computed are: The probability that a…

Q: The heights of 18 year old men are normally distributed with a mean of 67 inches and a standard…

A: Given distribution is normally distributed with mean 67 and standard deviation 3 x~N(μ=67, σ=3)

Q: 3. If the probability of a defective bolt is 0.1, find (a) the mean, (b) the standard deviation, for…

A:

Estimation

A new framework of data analysis where the new statistical methods are used for interpreting the results and analyzing the data is known as estimation in statistics.