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Supposed that the heights of Filipino high school students are normally distributed with a mean of 158 cm and a standard deviation of 3 cm.
a. what is the area and probability of students with at least 147 cm and at most 168 cm height?
b. what is the area and probability of students with 152 cm height from the mean?
c. what are the heights of students who belong to the 80th percentile?
Find the following probabilities if the joint probability density function of 𝑋 and 𝑌 is
given by
𝑓(𝑥, 𝑦) = {
2𝑒
−𝑥𝑒
−2𝑦
if 0 < 𝑥 < ∞, 0 < 𝑦 < ∞
0 otherwise
a. 𝑃(𝑋 > 1, 𝑌 < 1)
b. 𝑃(𝑋 < 𝑌)
c. 𝑃(𝑋 < 𝑎)
Suppose the mean number of days to germination of a variety of seeds is 34, with a standard deviation of 4.3 days. What is the probability that the mean germination time of a sample of 250 seeds will be within 0.5 days of the population mean?
ATOM is similar to IRON. The sides of ATOM are 3, 6, 9, and 12 centimeters. The shortest side of IRON is 2 centimeters long.
a. What is the scale factor of ATOM to
IRON
b. Find the lengths of the two longest sides of IRON
c. Find the perimeter of IRON.
d. Find the ratio of the perimeters of ATOM and iRON.
Does it seem reasonable that the college student would finish the examination in less than 43 minutes
Find the equation of the tangent line to a curve y=-x2-1 that is parallel to the line 2x+y=6.
Suppose X1,X2,...,X25 is a random sample from P (λ = 320). Use the central limit theorem to approximate P(X̄ >542)
Scores on a test can be approximated with a normal distribution. If the average score was an 30 and the standard deviation was 4, find the probability that a randomly chosen test has a score of a) Below 40 b) between 30 and 35
Try to explore your house and look for three different objects. Draw them on a clean sheet of paper and give the necessary dimension in centimeters. Solve for the surface area of each object using the appropriate formula. Do not forget to indicate the correct labels.
Investment
A person may earn ₱100,000.00 by investing in the stocks of an international
company with a probability of 0.40 or lose ₱35,000.00 over the same period
with a probability of 0.60. Let X denote the net gain of a person who will invest
in the company, construct the probability distribution of X, and compute for
the expected value of a person who will invest in the same company. Interpret
the result
#339914 on Dec 2023