randomly selected group of 560 students are assumed to have heights distributed normally with mean µ = 166 cm and standard deviation σ = 30 cm. Suppose a student is chosen randomly from this group. Find a. the probability that this student’s height is between 170 cm and 182 cm. b. the probability that this student’s height is bigger than 175 cm.

Q: Let the weights of 1 kg tea boxes filled with an automatic machine have a normal distribution with a…

A: Given data, mean=1.03 sd=0.02

Q: In the ballast water that is discharged from a ship there is a concentration of 10 organisms per…

A: The total number of organism are concentrated in per cubic meter is 10.

Q: 17. Suppose that the amount of time moviegoers wait in line to buy tickets at the box office is…

A:

Q: Assume that the readings on the thermometers are normally distributed with a mean of 0°C and a…

A: We have given that,  X be the random variable from standard normal distribution with mean (μ) = 0°C…

Q: The diameter of bolts produced by a certain machine are normally distributed with a mean of 0.30…

A:

Q: Let Χ be normally distributed with a mean of 120 and standard deviation of 25. (a) What is the…

A:

Q: Rods are taken from a bin in which the mean diameter is 8.30 mm and the standard deviation is 0.40…

A: Solution: Let X be the rods taken from a bin and Y be the bearings taken from another bin. From the…

Q: a. Assume that a similar boat is loaded with 50 passengers, and assume that the weights of people…

A: a. The probability that the boat is overloaded because the 50 passengers have a mean weight grater…

Q: A company produces steel rods. The lengths of the steel rods are normally distributed with a mean of…

A: Solution: Let X be the length of the steel rod. From the given information, X follows normal…

Q: The time required to complete a final examination of MATH 203 is normally distributed, with a mean…

A: Given : mean = μ = 80 Standard deviation = σ = 10

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

A: Given,   Mean = 63.6 Standard deviation = 2.5 Sample size = 100   The objective is to find the…

Q: An engineer is going to redesign an ejection seat for an airplane. The seat was designed for pilots…

A:

Q: The number of pieces of dog food in a one-cup scoop is approximately Normally distributed with a…

A: The number of pieces of dog food in a one-cup scoop is approximately Normally distributed with a…

Q: Assume that the mean systolic blood pressure of normal adults is 120 millimeters of mercury (mmHg)…

A: Let X denotes the systolic blood pressure of normal adults then  X~ N(μx, σx2)      where…

Q: The lengths of Atlantic croaker fish are normally distributed, with a mean of 10.4 inches and a…

A: We have given that  X~N( μ , ?^2 )    μ = 10.4    , ? = 2 3   Z-score =( x - μ )/?  ,

Q: The weekly salaries of 5,000 employees of a large corporation are assumed to be normally distributed…

A: Given that the weekly salaries of 5000 employees of a large corporation are assumed to be normally…

Q: A coffee-vending machine is set to dispense amounts of coffee per cup that follows a normal…

A: The normal distribution is a continuous random variable that has a parameter μ and σ. If a normal…

Q: •2. The relative frequency distribution of the number of TVs sold in a day in a department store in…

A: We are given the following information:Number of TV sold xProbability P(x)00.110.1520.4530.240.1

Q: Assume that the readings at freezing on a bundle of thermometers are normally distributed with a…

A:

Q: The amount of time to complete a physical activity in a PE class is approximately normally normally…

A: Given,mean(μ)=37standard deviation(σ)=6

Q: Assume that the heights of men are normally distributed with a mean of 69.0 inches and a standard…

A: According to the given information, we have Mean = 69.0 Standard deviation = 2.8 Sample size = 64

Q: Suppose that the speed at which cars go on the freeway is normally distributed with mean 79 mph and…

A: Given Data Population Mean,μ = 79.0 Population Standard Deviation,σ = 6.0

Q: Assume that the heights of men are normally distributed with a mean of 67.2 inches and a standard…

A:

Q: The number of automobile accidents per week in Toronto is normally distributed with a mean of 16.3…

A:

Q: Each American uses an average of 650 pounds (295 kg) of paper in a year. Suppose that the…

A: It is given that mean and standard deviation are 650 and 153.5, respectively.The random variable X…

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

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

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

A: the PDF of normal distribution is = 1/σ * √2π * e ^ -(x-u)^2/ 2σ^2standard normal distribution is a…

Q: (b) For a certain type of computers, the length of time between charges of the battery is normally…

A: X: length of time between charges of the batteryX~N(μ,σ)where mean(μ)=45 hours   and  standard…

Q: If the pressure in the right tire is 22 psi what is the probability that the left tire has a…

A: Given information: The joint probability density function is given.

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

A:

Q: Find the indicated probability. Assume that the salaries of elementary school teachers in the United…

A: Given that, Mean = 32000 Standard deviation = 3000 Sample size = 100

Q: 10. The average height of a woman aged 20-74 years is 162, 5cm. Suppose that the height is normally…

A:

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

A:

Q: An airliner carries 350 passengers and has doors with a height of 74 in. Heights of men are normally…

A: (a) Obtain the Z-score for the random variable X equals 74. The Z-score for the random variable X…

Q: Employees in a business have a standard normal distribution with an average monthly salary of 1700₺…

A: GivenMean(μ)=1700standard deviation(σ)=500

Q: a)State the distribution for the height of a randomly selected Australian adult male, in…

A:

Q: The number of hours it takes for symptoms of a viral disease to show from the time of infection…

A:

Q: Assume that the readings on the thermometers are normally distributed with a mean of 0°C and a…

A: Mean = 0 Standard deviation = 1

Q: Consider the probability distribution for number of children in local families. Probability…

A:

Q: 9. The weight of items produced by a machine is normally distributed with a mean of 8 kg and a…

A: Given,mean(μ)=8standard deviation(σ)=2

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

A: X follows a Normal distribution with mean = 100 and S.D = 14 Then z=(x-mean)/SD = (x-100)/14…

Q: The average daily high temperature in June in LA is 77◦F with a standard deviation of 5◦F. Suppose…

A:

Q: An engineer is going to redesign an ejection seat for an airplane. The seat was designed for pilots…

A:

Q: 1. The average number of liters of fresh milk that a person consumes in a month is 18 liters. Assume…

A: Given : The average number of liters of fresh milk that a person consumes in a month is 18 liters.…

Q: The number of content changes to a Web site follows a Poisson distribution with a mean of 0.25 per…

A: Given that  Mean =λ=0.25 per day  Mean =λ= 5×0.25=1.25 in five day. X~poisson (λ)

Q: At an airline company, according to the records, the mean age of pilots is 36.2 years, and the…

A:

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

A:

Q: A population distribution has a mean of 40 and a standard deviation of 12. (a) What does the…

A:

Q: The monthly salaries of employees working in a company have a standard normal distribution with an…

A: Given Data: Let x represent the random variable Mean=1700 Standard deviation=500   X~ Normal (1700,…