You have a really annoying stapler that seems to randomly jam. On any given attempt to staple, it seems to independently jam 15.8% of the time. Use the normal distribution (with continuity correction) to find the probability that your stapler will jam 28 times or fewer out of 220 attempts.(Round answers to two decimal places.) Find the mean and standard deviation for the number of jammed staples out of 220 attempts. Mean: Standard Deviation: P(x ≤ 28) =P(z ≤ )= (Round probabilities to four places.)
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!
You have a really annoying stapler that seems to randomly jam. On any given attempt to staple, it seems to independently jam 15.8% of the time. Use the
Find the
Mean: Standard Deviation:
P(x ≤ 28) =P(z ≤ )=
(Round probabilities to four places.)
Trending now
This is a popular solution!
Step by step
Solved in 2 steps with 2 images
