Find the mean and the standard deviation
The random variable X is normally distributed with mean μ and variance σ(squared). Given that P(X > 58.37) = 0.02 and P(X < 40.85) = 0.01, find the mean and the standard deviation.
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Use the pictured Excel output to determine whether the error percentages for the computerized system differ from those for the manual system at the .05 level of significance. What do you conclude?
Determine the exact probability of creating a mini license plate with an R. Give solution exactly in reduced fraction form.
Suppose the monthly income of assistant managers of our local banks are normally distributed with mean of Php40,000 and a standard deviation of Php5,000. What is the z score for an income of Php30,000?
The mass of a small loaf of bread is normally distributed with mean 500 grams and standard deviation of 20 grams. Find the probability that a randomly selected loaf has a mass not exceeding 470g.
Due to manufacturing variations, the length of string in a randomly chosen ball of string can be modeled by a normal distribution. Find the mean and standard deviation given that 95% of the balls with string have lengths exceeding 490 meters and 9
At the end of this time I close out account and invest closing balance for next 25 years in the account paying 5.5% compounded continuously. Determine accumulated amount in account at the end of 45 year period?
During the 2010 World Cup group stage, my friend Manmood wanted me to pay him $5 if Brazil beat Portugal. At the time, I believed that Brazil would beat Portugal with probability 0.8. For the bet to be fair, how much should Mahmood have paid me if
Australian Koala bears are thought to have a mean height of 21 inches and a standard deviation of 3 inches. You plan to choose a sample of 55 bears at random. What is the probability of a sample mean between 20 and 22?
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