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A study of a specific grade of steel suggests that yield strength (ksi) is normally distributed with
and mu = 42 and sigma = 4.3 a. (10 points) What is the probability that yield strength is at most 40? b. (5 points) What is the probability that yield strength is greater than 50?
Random samples of size 2 are taken from a population of numbers 2,4,6, 7 and 8. Compute for the population mean.
X=123 ; n=1200 what is p and q?
A study about the number of sleeping hours among call center agents is being conducted in abc company. The population shows a normal distribution with a mean of 6.2 hours. Twentt-five employees were subjected to test and results showed a standard deviation of 0.8. What is the probability that the agents sleep less than 6.5 hours?
You play a game with two six-sided dice. If you roll a sum of 8, you win P800 and if you roll a sum of 6, you win P600. However, you lose P500 if you roll anything else. If you continue to play this game, how much do you expect to win lose or win in the game?
A population consist of the values 1 4 3 2 with sample size 2 sampling distribution
You are planning to buy a cellphone with a good quality in order to attend the online class. The average price of 50 cellphones is Php13,600 with a margin of error of Php 283.75 and a confidence level of 90%. Show solution if necessary
What is the lower limit?
What is the upper limit?
What is the confidence interval?
If you have F13.200.00, is the amount lies within the confidence interval?
The length of confidence interval is?
The General Electric Company claims that the life of LED light bulbs are has a mean life of 500 hours with the standard deviation of 50 hours. Test the claim of the manufacture if a random sample of 80 LED light tested and found out to be 450 hours only. Use 5% level of significance.
In a farming community, 30% of the farmers grow oranges only, 10% grow lemons only and 4% grow both oranges and lemons.
1.1) What proportion of farmers in the community grow either oranges or lemons? [3 marks]
1.2) If a farmer is chosen randomly from these in the community, what is the probability that he grows neither oranges nor lemons? [2 marks]
1.3) Of all the farmers who grow oranges, what proportion grow lemons also? [2 marks]
Diameters of bolts produced by a particular machine are normally distributed
with mean 0.760 cm and standard deviation 0.012 cm. Specifications call for
diameters from 0.720 cm to 0.780 cm.
