Search & Filtering
The joint probability mass function of (X, Y) is given by p(x, y) = k(2x + 3y),
x = 0, 1, 2; y = 1, 2, 3. Find all the marginal and conditional probability
distributions. Also find the probability distribution of (X + Y)
Conduct a mini survey in your locality to atleast 30 adult males or females
For numbers 8-15: An association of City Mayors conducted a study to determine the average number of times a family went to buy necessities in a week. They found that the mean is 4 times in a week. A random sample of 20 families were asked and found a mean of 5 times in a week and a standard deviation of 2. Use 5% significance level to test that the population mean is not equal to 5. Assume that the population is normally distributed.
The mean life of a power station is 30 years and follows an exponential distribution.
1.What is the chance that the power station is inoperative? If it's maximum life is 50 years.
2. If six power stations are operated independently, what is the chance that at least 4 will still stand
after 40 years?
Activity 3: Discover Your Barangay: Decide for a situational problem you would
like to discover in your barangay, example, you claim that 75% preferred drinking
water during this time of pandemic rather than soft drinks. Make a survey by
deciding the number of respondents, you can asked them through messenger, text
or call for physical distancing during this time of pandemic, then formulate your
hypothesis and choose a significance level size for a. After having all the data needed,
show the complete step by step solution for the problem.
Let X be a binomial random variable with p = 0.1 and n = 10. Calculate the following probabilities.
(a) P(X ≤ 2)
(b) P(X > 8)
(c) P(X = 4)
(d) P(5 ≤ X ≤ 7)
A supermarket cashier attends to customers at an average of 1 every 2 minutes while customers arrive at an average of 20 per hour. Customers are served on first come first served basis from a single point.
Determine the probability that the next arriving customer will have to wait for service
How many customers will an arriving customer meet on the queue?
How long would be expected to spend in the supermarket under the present arrangement?
Why would the supermarket manager worry about a long service queue?
∑f(xi)=1 is among the properties of the probability density function of a _________________random variable x
The random variable associated with Bernoulli ________is called a Bernuolli random variable (x)
Answer the following problems.
1. Find the values of t for which the area on the right tail of the t-distribution is 0.05 and the number of degrees of freedom is equal to:
a. 15 b. 28 c. 100
2. Find the 99th percentile of the t-distribution with 18 degrees of freedom.
3. Find the 90th percentile of the t-distribution if the sample size is 25.
