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A company estimates that about 0.7% of their products will fail after the regular one-year warranty but within two years from the date of purchase. If this happens, the company will pay a replacement cost of 3500. If the company offers its customers an extended warranty covering a period of two years for the price of 480.
Four coins are tossed. Let Y be the random variable representing the number of heads that occur. Find the values of the random variable Y.
Value of the Random Variable Y
Probability P(Y)
How many possible sample sizes of 4 can be drawn from a population of size 10?
The average public high school has 468 students with a standard deviation of 87.If a public school is selected, what is the probability that the number of students enrolled is greater than 400?
Using the sample in a family of four children, construct a probability distribution for the random variable Z representing the number of boys. Draw the histogram of the probability distribution
X 1 2 3 4 5 6 7
P(X = x) 0.26 0.34 0.16 0.14 0.07 0.02 0.01
Construct the probability distribution for the random variables described in
each of the following situations.
1. Two dice are tossed. Let X = represent the sum of two dice
Make a table of all possible values. Find the values of the random
variable X.
Value of the Random Variable X
Probability P(X)
The score of Entrance Examination takers who took a 600 item exam resemble a normal distribution with a mean of 220 and a standard deviation of 10. The coordinator would like to get the lowest 15% of the scores and invite them for a retake examination. What range of scores indicates the inclusion in the retake of the exam?
A manufacturer receives a shipment of 500 spare parts from a supplier who claims that the lengths of the spare parts are approximately normally distributed having a mean of 2.5cm and a standard deviation of 0.04 cm. If the manufacturer takes a 10% random sample from the shipment, what is the probability that he gets a mean length of:
A. More than 2.22 cm?
B. More than 2.40 cm?
1.Three coins are tossed. Let T be the number of tails that occurs. Determine the values of the random variable T.
2. A coin is flipped four times. Let T be the number of tails that come out. Determine the values of random variable T.
3. Two balanced dice are rolled. Let S be the random variable denoting the sum of the number of dots that will appear. Determine the values of the random variable S.
4. Let X be the number of boys in a family of four children. Determine the values of the random variable X.
Find n, given that we wish to estimate μ to within 10 units, with 95% confidence, and assuming that σ=100.
