Question

In: Statistics and Probability

The shelf life, in days, for bottles of a certain prescribed medicine is a random variable...

The shelf life, in days, for bottles of a certain prescribed medicine is a random variable having triangular pdf in the interval (0, 30) months with the mode at 12 months.

  1. Compute the probability that a bottle of this medicine will have a shelf life of at least 200 days; anywhere from 180 to 550 days.
  2. Find the median of the shelf life
  3. Compute the probability that a bottle of this medicine that is still effective at 450 days will have a shell life of at least 200 additional days.
  4. Find the expected value, the median, and the variance of X.

Solutions

Expert Solution


Related Solutions

The life of a certain small motor has been determined to be a random variable that...
The life of a certain small motor has been determined to be a random variable that follows a normal distribution with an expected value of 10 years and a standard deviation of two years. The manufacturing company offers a 7 year warranty, during which time it replaces for free any motor that stops working. a. What proportion of motors will have to be replaced under warranty? b. What is the probability that it will be damaged the same day the...
different between shelf half life and half life
different between shelf half life and half life
25. The volume of soft drink in plastic bottles is a normal random variable with mean...
25. The volume of soft drink in plastic bottles is a normal random variable with mean 16 ounces and standard deviation 0.6 ounces. a. If a bottle is selected at random, find the probability that it contains more than 15.8 ounces of soft drink. b. A random sample of 25 bottles is selected from a large quantity of filled bottles. Write down the sampling distribution of sample means. Give the mean and standard deviation of the sampling distribution, and compare...
(a)   Describe shelf-life determination by direct method. (b)   Describe shelf-life calculation by indirect method of accelerated...
(a)   Describe shelf-life determination by direct method. (b)   Describe shelf-life calculation by indirect method of accelerated tests (c)   Mention seven measures to be considered for shelf-life determination.
A nuclear medicine source made of 32P with half-life of 14.3 days emits beta particles at...
A nuclear medicine source made of 32P with half-life of 14.3 days emits beta particles at 0.70 MeV. Ten grams of 32P concentrate in a tiny tumor in the bladder after injection. The activity is initially 1.0 x 1010 Bq. Compute the dose (in units of Gy) delivered at the tumor two half-lives after injection. For a more accurate answer, you should integrate the dose rate over time as the source strength changes due to radioactive decay.
. What do you surmise a shelf life to be?
. What do you surmise a shelf life to be?
Y is a Binomial random variable where, Y = The number of days in a week...
Y is a Binomial random variable where, Y = The number of days in a week someone goes to the gym. Where a week has 7 days and the probability of someone going to the gym on any given day is .65.  What is the probability that someone goes to the gym at least 3 days out of the week? Hint: This is a cumulative probability, so you need to add up the probabilities of Y equaling all the possible values...
The current in a certain circuit as measured by an ammeter is a continuous random variable...
The current in a certain circuit as measured by an ammeter is a continuous random variable X with the following density function. f(x) = 0.025x + 0.4      3 ≤ x ≤ 5 0 otherwise (a) Graph the pdf. Verify that the total area under the density curve is indeed 1. 5 0.025x + 0.4 dx 3 =    5 3 = 2.3125 −    = (b) Calculate P(X ≤ 4). How does this probability compare to P(X < 4)?...
You find two bottles of white solid on a shelf in the stock room without labels....
You find two bottles of white solid on a shelf in the stock room without labels. You then find two labels CaCl2 (s) and KCl (s0 lyring right beside. You want to determine which is which. The solids can be differentiated by dissolving each solid in water and measuring the change in temperature. delta H(f) CaCl2 (s) = -796 kJ/mol      delta H(f) KCl (s) = -437 kJ/mol          You dissolve 0.100 moles of unknown A in enough water to make a...
The Orange Machine Company supplies a tool for pouring cold medicine into bottles in such a...
The Orange Machine Company supplies a tool for pouring cold medicine into bottles in such a way that the standard deviation of the contents is 4.25 g. A new filling process is tested on 71 bottles and the standard deviation for this sample is 3.87 g. Use a 0.05 significance level to test the claim that the new process dispenses amounts with a standard deviation less than the standard deviation of 4.25 g for the old process. Is the new...
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT