If X is a normally cistributed random variable with a mean of 45 and a standard deviation of 8, find the following probabšities: a. P(X 2 50). b. P(X S 32). c. P(37 SXS 48). d. P(X = 45).

Q: with a mean of µ = 70 and a standard deviation of σ = 10, what is the probability of obtaining a…

A: Given Data : Population Mean,μ = 70 Population Standard Deviation,σ = 10

Q: At a large government office center in Chicago, it has been found out that the time employees spend…

A:

Q: Suppose that for a normal random variable X, we have a mean of µ=10 and a standard deviation of σ=3.…

A: As per guideline expert have to answer first three subpart only.

Q: If X is a normally distributed random variable with a mean of 80 and a standard deviation of 12,…

A: Given that.   X~N( μ , ?^2 )   μ=80     , ?=12   Z-score =( x - μ )/?

Q: If x is a normally distributed variable with a mean of 151.7 and a standard deviation of 21.9, what…

A: GivenMean(μ)=151.7standard deviation(σ)=21.9

Q: Given that the length an athlete throws a hammer is a normal random variable with mean 50 feet and…

A:

Q: A study of the amount of time it takes a hiker to hike to the bottom of the Grand Canyon and back to…

A: Given: μ = 12 σ = 2.4 n = 9

Q: If a random sample of size 9 is drawn from a normally distributed population with mean 64 hours.…

A:

Q: The manager of a computer help desk operation has collected enough data to conclude that the…

A: Given, Mean = μ = 8.21 Standard deviation = σ = 2.14 Sample size = n = 40 The x is normally…

Q: he height of the candidate for Police Officer at JayBie Town is normally distributed with a ean 165…

A: Let X be the random variable from normal distribution with mean (μ) = 165 cm and standard deviation…

Q: If the random variable X is normal with mean 2 and standard deviation 2, n what is P(X² – 4X < 1). -

A:

Q: A manufacturing firm produces resistors with mean and standard deviation of 220 Ω and 11Ω,…

A:

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

A:

Q: 2.) A ski gondola in Vail, Colorado that carries skiers up a mountain bears a plaque stating that…

A: Hi! Thank you for the question, As per the honor code, we are allowed to answer three sub-parts at a…

Q: If x represents a random variable with mean 132 and standard deviation 50, then the standard…

A:

Q: if X is normally distributed random variable with a mean of 80 and a standard deviation of 12, then…

A: GivenMean(μ)=80standard deviation(σ)=12

Q: If x represents a random variable with mean 124 and standard deviation 30, then the standard…

A: Solution: Note: Hello! As you have posted 2 different questions, we are answering the first…

Q: If the random variable X has a normal distribution with a mean 88 and standard deviation 12, then…

A:

Q: If a random sample of size 14 is drawn from a normally distributed population with mean 43.5…

A: Let, X=the variable Given that X follows a normal distribution with mean=43.5 and standard…

Q: Suppose that the miles-per-gallon (mpg) rating of passenger cars is a normally distributed random…

A:

Q: a population is normally distributed with mean 36.8 and standard deviation 2.5. Find the following…

A: Given: μ=36.8σ=2.5 x=40 The formula and calculation of z-score is : z=x-μσ=40-36.82.5=1.28   Observe…

Q: If X is a normal random variable with a mean of 15 and a standard deviation of 3, then P(X=18) is…

A: Obtain probability that the X=18. The probability that the X=18 is obtained below as follows: The…

Q: A population has a standard deviation of 16. If a sample of size 64 is selected from this…

A: Given: Population standard deviation = sigma = 16 n = 64 P( sample mean within 2 units from…

Q: If X is a normally distributed random variable with mean -61 and standard deviation 22, find the…

A: Solution: From the given information, X follows normal distribution with a mean µ=61 and a standard…

Q: Suppose that for a normal random variable X, we have a mean of µ=10 and a standard deviation of σ=3.…

A: The random variable X follows normal distribution. The population mean is 10. The population…

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: Suppose that the mean and standard deviation of plants height are 130 and 42, respectively, if a…

A: We have given that,  X be the random variable from normal distribution with mean (μ) = 130, standard…

Q: If X is a random variable with mean 5 and standard deviation 3, then the mean of the random variable…

A: The random variable is X.

Q: Given that X is a normally distributed random variable with a mean of 50 and a standard deviation of…

A: Given that X is a normally distributed random variable with a mean of 50 and a standard deviation of…

Q: If the random variable X is normally distributed with a mean of 75 and a standard deviation of 8,…

A: Given: µ = 75 σ = 8

Q: If a random sample of size 14 is drawn from a normally distributed population with mean 43.5…

A: Given Sample size n = 14 Population is Normally Distributed with mean 43.5 minutes  Sample standard…

Q: Suppose the random variable X had a population mean u=20 and a population standard deviation o=9. If…

A: Given that: X is normally Distributed with mean µ = 20.0 and standard deviation σ = 9.0 By using…

Q: According to the St. Lucie Economic Development Council, the average household income in St. Lucie…

A: Given Mean=45775 Standard deviations=1830

Q: chickens follow a normal distribution with a mean of ? kg and a standard deviation of ? kg. It is…

A: *Answer:

Q: Suppose X is a normally distributed random variable with a mean of 9.00. If the probability that X…

A: Obtain the value of the standard deviation of X. The value of the standard deviation of X is…

Q: A population of Gala apples has a mean m=0.40 lbs and a standard deviation s=0.16 lbs. For a sample…

A: Solution: Let X be the variable. From the given information, m=0.40, s=0.16 and n=20.

Q: For a sample of n = 100, what is the standard deviation of the binomial distribution with p = .20…

A: Given : It is asked to find the of n = 100 With the given standard deviation p = 0.20 and q = .80

Q: Assume that the heights of adult puffins are normally distributed, with a mean of u = 16.1 inches…

A: According to our guidelines we can solve only the first three-part of the question. ize (n) = 16

Q: For a populations mean of 22.3 and standard deviation 4, find the probability that the random…

A: The mean is 22.3 and the standard deviation is 4.

Q: Given the population of men has normally distributed weights with a mean of 172 lb and a standard…

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

Q: Suppose x is a normally distributed random variable with a mean of 12 and a standard deviation of 3.…

A: Given,      Meanμ=12      Standard deviationσ=3

Q: Suppose the tires on your car have an average life expectancy of 60,000 miles, with a standard…

A:

Q: If the random variable of X is normally distributed with a mean of 50 and a standard deviation of…

A: Given that, Let X is normally distributed random variable with a mean of 50 and a standard deviation…

Q: If x represents a random variable with mean 137 and standard deviation 16, then the standard…

A: Let X be the random variable. It is given that X is normally distributed with mean 137 and standard…

Q: In a sample of n = 15 selected from an underlying normal distribution, we obtain standard deviation…

A: From the provided information, The sample standard deviation (s) = 10 Sample size (n) = 15

Q: Given that the random variable X is normally distributed with a mean of 80 and a standard deviation…

A: The random variable X is normally distributed with a mean of 80 and a standard deviation of 10. That…

Q: Hello. Can I get help on how to work out this problem? If there is also a way to calculate using the…

A: Power of a test:Power of a test is the probability of rejecting a null hypothesis when it is false.…

Q: The distribution of weekly salaries at a large company has a mean of $1000 and a standard deviation…

A: Given Mean=1000 Standard deviation=350 N=50

Q: A candy company claims that 18​%of its plain candies are​ orange, and a sample of 200 such candies…

A: Given: n = 200 and p=0.18 Consider, X be the random variable that represents the number of orange…

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.