normally distributed with a mean of 650 dollars and a standard deviation of 65 dollars. Find the probability that a randomly selected weekly salary in this distribution is less than 605 dollars. P(X < 605) =

Q: Assume that adults have IQ scores that are normally distributed with a mean of 105 and a standard…

A:

Q: The IQ scores of adults are normally distributed with a mean of 100 and a standard deviation of 15.…

A:

Q: The time it takes for a statistics professor to mark a single midterm test is normally distributed…

A: Obtain the probability that he needs more than 5 hours to mark all of the midterm tests.   The…

Q: The time it takes a computer repair company to diagnose a computer follows a normal distribution…

A: Given data  X = time taken for computer repair company to diagnose a computer μ=50   σ=12…

Q: the average age of bank managers is 40 years. assume the variable is normally distributed. if the…

A: The age of manager is normally distributed with mean μ=40 years and standard deviation σ=5 years. To…

Q: A) has a mean öI 100 and a standar deviation of 10. What is the probability that X will be smaller…

A: We have given that.   X~N( μ , ?^2 )   μ =100 , ? =10   Z-score =( x - μ )/?

Q: Assume that blood pressure readings are normally distributed with a mean of 135 and a standard…

A: According to the given information, we have Mean = 135 Standard deviation = 4.7 Sample size = 35

Q: The mean score in a test is normally distributed with mean 30 and standard deviation 10. What is…

A: Given :  Mean, μ = 30 standard deviation, σ = 10 x = 55

Q: The average score of all golfers for a particular course has a mean of 64 and a standard deviation…

A:

Q: The Average height of a certain age group of people is 53 inches. The standard deviation is 4…

A: From the given information,   Mean = 53 Standard deviation = 4

Q: A z-score of +1.6 represents a value which is how many standard deviations above the mean?

A:

Q: The scores on a national achievement exam are normally distributed with a mean of 500 and a standard…

A: Let X be the random variable   Mean=500 SD=100   X~ Normal (500, 100^2)

Q: Scores on an IQ test are normally distributed with a mean of 50 and a standard deviation of 20.…

A: Given: Mean = 50 Standard deviation (σ) = 20

Q: Annual precipitation in a certain city is normally distributed with a mean of 99 inches, and a…

A: Given: standard deviation(σ) = 18 inches sample size(n) = 35 population mean(μ) = 99 inches

Q: The time x a student spends learning a computer software package is normally distributed with a mean…

A: Given that, Mean = 8 Standard deviation = 1.5

Continuous Probability Distributions

Probability distributions are of two types, which are continuous probability distributions and discrete probability distributions. A continuous probability distribution contains an infinite number of values. For example, if time is infinite: you could count from 0 to a trillion seconds, billion seconds, so on indefinitely. A discrete probability distribution consists of only a countable set of possible values.

Normal Distribution

Suppose we had to design a bathroom weighing scale, how would we decide what should be the range of the weighing machine? Would we take the highest recorded human weight in history and use that as the upper limit for our weighing scale? This may not be a great idea as the sensitivity of the scale would get reduced if the range is too large. At the same time, if we keep the upper limit too low, it may not be usable for a large percentage of the population!