Probability of a sample mean
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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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.
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
One of Specialty's managers felt strongly that the order quantity should have a 70% chance of meeting quantity demanded (i.e. only a 30% chance of stock-out). What quantity should be ordered under this policy?
A sample of size 56 is to be drawn from a t distribution where is an integer greater than 2. For this distribution, the expected value is 0, and the variance is /( ? 2). What is the expected value, variance, and approximate distribution of the sam
The distribution of bacteria in milk is roughly normal. The average bacteria count is M = 2500 and the SD = 300. In 42 random samples of milk what is the probability that the average bacteria count for one day is between 2350 and 2650?
Manager at the furniture factory finds that is costs $2200 to produce 100 chairs in one day and $4600 to produce 300 chairs in one day. Determine the y-intercept of this line?
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