The monthly demand for a product is normally distributed, with a mean of 700 units and a standard deviation of 200 units. What is the probability that demand will be greater than 900 units in a given month?

Q: The owner of a computer repair shop has determined that their daily revenue has mean $7000 and…

A:

Q: If a brisk walk at 4 mph burns an average of 300 cal per hour, find the probability that a person…

A: Given data: Mean = 300 Standard deviation  = 20 To find: The probability that a person will burn…

Q: If the probability of defective bolt is 0.1, find the mean and the standard deviation for the number…

A: Given the probability of a defective bolt is, 0.1 That is, p=0.1 The total number of bolts is, n=400…

Q: The annual income for a sample of 450 part-time students is normally distributed with a mean income…

A: Given that.   X~N( μ , ?)   μ=31000 , ?=3000   Z-score =( x - μ )/?

Q: A major application of analytics in marketing is determining customer retention. Suppose that the…

A: Given The customer leaving for another carrier from one month to the next is 0.14

Q: The average age of accountants is 43 years, with a standard deviation of 5 years. If an accounting…

A: From the given information,   Mean = 43 Standard deviation = 5 Sample size = 30

Q: A normal distribution has a mean of 140 and a standard deviation of 7. Find the z-score for a data…

A:

Q: A normal distribution has a mean of 103 and a standard deviation of 3. Find the z-score for a data…

A: Solution: From the given information, µ=103 and σ=3.

Q: The annual income for a sample of 450 part-time students is normally distributed with a mean income…

A: Given that.   X~N( μ , ?)   μ=31000 , ?=3000   Z-score =( x - μ )/?

Q: The average credit card debt for college seniors is$3262. If the debit is normally distributed with…

A: The distribution of credit card debt is given as, X~N(µ=3262, σ=1100).

Q: Assume that adults have IQ scores that are normally distributed with a mean of 100.6 and a standard…

A:

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!