Suppose that the shelf life of buko pie has a normal distribution with a mean of 36 hours and standard deviation of 2.4 hours. Random samples of size 25 are taken. 11. What is the mean of the sampling distribution of the sample mean? A. 24 В. 30 C. 36 D. 42 12. What is the variance of the sampling distribution of the sample mean? A. 0.096 B. 0.2304 C. 0.48 D. 1 13. What is the probability that the average shelflife of a random sample size 25 is greater than 35 hours A. 1 B. 0.9912 C. 0.9812 D. 0.9712 14. What is the probability that the shelf life of the random sample of size 25 less than 36.5 A. 0.8485 B. 0.8508 C. 0.8531 D. 0.8554 15. What is the probability that the shell life of the random sample of size 25 is between 35 to 37 A. 0.8941 B. 0.8961 C. 0.8972
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!
Step by step
Solved in 3 steps with 3 images
