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A TELCO office has seven telephone lines. For the past months, the probability distribution of the random variable X which represents the number of busy lines per day, X={0, 1, 2, 3, 4, 5, 6, 7} P(X)={.02, .27, .06, .22, .15, .04, .08, .16}, what is the probability that the number of busy telephone lines in a day is fewer than six but at least one?
Supposed three cellphones are tested at random. Let D represent the defective cell phone and N let represent the non-defective cell phone. If we let X be the random variable for the number of defective cell phone, construct the probability distribution of the random variable X.
A box contain 3 dimes, 3 nickels and 1 penny .3 coins are being selected at random without replacement .(Where 1 Dime=10 cent, 1 Nickle=5 cent and 1 penny=1 cent)
If three mangoes are taken one after the other from a basket which contain 10 ripe and 4 unripe
mangoes
1. What is the probability that you will get 3 ripe mangoes?
2. What is the probability that you will get 2 ripe mangoes?
3. What is the probability that you will get 1 ripe mango?
4. What is the probability that you will not get ripe mango?
Form a partial differential equation by eliminating the functions f and g from z =
yf(x) + xg(y).
Form a partial differential equation by eliminating the function f from z = f(y/x)
x^3dx+(y+1)^2dy=0
Given the population mean
of 12, and a sample
standard deviation of 3 in a
sample size of 125
𝑛 = ______
𝜇 = ______
𝑠 = ______
3. A population composed of
11 items whose
measurements are 12, 7,
9,11,8, 20, 23, 18, 13, 22,
and 10. Samples of 5 items
are drawn at random
without replacement.
𝑁 = ____, 𝑛 = ___
In 2015, the mean return of all common stocks on the Philippine Stock Exchange was 0.45. The standard deviation of the returns was about 6.2. A student of finance forms all possible portfolios that invested equal amounts in 4 of these stocks and records the return for each portfolio. This return is the average of the returns of the 4 stocks chosen. What is the variance of the portfolio returns?
Each month, a Filipino household generates an average of 30 pounds of garbage for recycling. Assume that the distribution is normal with a standard deviation of 2 pounds. If a household is selected at random, find the probability of its generating more than 34 pounds per month. *
