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A population consists of the values (1, 3, 4). How many samples of size 2 can be drawn from this population considering that replacement is allowed?



If the sum of the lengths of the two bases of a trapezoid is 100cm, what is the length of

its median?



T distribution with 19 degrees of freedom. If the total area shaded is 0.05, what is the area to the left of t1?

"An electrical firm manufactures light bulbs that have a length of life that is approximately normally distributed, with mean equal to 792 hours and a standard deviation of 62 hours. Find the probability that a random samples of 18 bulbs will have an average life between 794 and 807 hours."

There are 3500 species of bees and more than 600,000 species of insects. What is the minimum numbe

of species of insects are not bees?


A certain firm has plants A, B and C producing, respectively, 35%, 15% and 50%, of the total out. The




probabilities of a non-defective product are, respectively, 0.75,0.95 and0.85. If a consumer receives a




defective product, what is the probability that it came from plant C.

 Write C++ program that calculates the area and the circumference of a square. Read the

required input from the user at the runtime. Where area = edge2 and circumference = 4 edge


A random variable X has a normal distribution with mean 50 and variance of 10. Find the range of scores that lie:


A.Within one standard deviation from the mean.


B.Within two standard deviation from the mean.



The average precipitation for the first 7 months of the year is 19.32 inches with a standard deviation of 2.4 inches. Assume that the average precipitation is normally distributed.

a. What is the probability that a randomly selected year will have precipitation greater than 18 inches for the first 7 months?

b. What is the average precipitation of 5 randomly selected years for the first 7 months?

c. What is the probability of 5 randomly selected years will have an average precipitation greater than 18 inches for the first 7 months?





The probabilities of a machine manufacturing 0, 1, 2, 3, 4, or 5 defective parts in one day are 0.50, 0.19, 0.22, 0.025, 0.19,0.06 and 0.005, respectively. Find the mean of the probability distribution

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