1. If a random variable has the normal distribution with µ= 77.0 and σ = 3.4, find the probability that random variable is
(a) less than 72.6
2. In a car race, the finishing times are normally distributed with mean 145 minutes and standard deviation of 12 minutes.
(a) Find percentage of car racers whose finish time is between 130 and 160 minutes. (b) Find percentage of car racers whose finish time is less than 130 minutes.
3. A test-taker has recently taken an aptitude test with 15 questions. All of the questions are True/ False type in nature.
(a) What is the probability that the student got first five questions correct. (b) What is the probability that the student got five questions correct.
8. Let x be the random variable that represents the speed of cars. x has μ = 90 and σ = 10. We have to find the probability that x is higher than 100 or P(x > 100)
Brown, 20% Yellow, 20% Red, 10% Green, 10% Orange, 10% Tan). Afterward it was (24% Blue, 20% Green, 16% Orange, 14% Yellow, 13% Red, 13% Brown). A friend of mine has two bags of M&Ms, and he tells me that one is from 1994 and one from 1996. He won’t tell me which is which, but he gives me one M&M from each bag. One is yellow and one is green. What is the probability that the yellow M&M came from the 1994 bag?
Calculate the CV of Wal Mart and Target stock prices.
Note: Question referenced from Aczel A., Sounderpandian J., Complete Business Statistics (7ed.)
The data set is a fictional representation of actual data sets that we work with. Perform unii variate descriptive analysis on the variables, and Submit a short description explaining any insights or trends you discovered. Include graphs, data tables, and other helpful visuals to communicate your discoveries. You do not have to work on all of the variables (select any 3 – 4 that are of most interest to you).
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