Search & Filtering
A population consists of the four numbers 3,7,11,15.Consider all possible samples of size two which can be drawn with replacement from this population
A. A life insurance company will sell a Php250,000 one-year term life insurance policy for members of armed forces of the Philippines for a premium of Php500.00. Let X denote the gain from the insurance company. Based on the collected data of the company, a member of the armed forces police has a 99.96% chance of surviving within one year. Let X the net gain of an insurance company from a single policy holder.
1. Complete the table below showing the probability distribution of X.
X 500 -249,500
P(x)
2. Find the expectation If you play a bet and Interpret the result.
E(X)=
3. Interpretation:
a manufactrer produces lightbulbs that are packed into boxes of 100. if quality control studies indicate that 0.5% of lightbulbs produce are defective, what percentage of the boxes will contain if 2 or more defectives?
A recent survey showed that 20 percent of the population owns some kind of microcomputer and 80 percent do not. Market experts predict that in a year 1 percent of the non-owners will become owners, and 1/100 of one percent of the owners will become no owners.
a) What are the transition matrix of owners and no owners for
next year?
b) What is the predicted steady state for the next year?
Find the confidence interval given the following data Cl-95, s-3, n-15, ×-25
1. A sample of 60 grade 11 students’ ages was obtained to estimate the mean age of all grade 11 students. years and the population variance is 16.
a. What is the point estimate for μ?
b. Find the 95% confidence interval for μ.
c. Find the 99% confidence interval for μ.
d. What conclusions can you make based on each estimate.
Two coins are tossed and the random variable Z gives the number of heads. Find the range space, possible outcomes, and give the table of values.
In a plant nursery, the owner thinks that the lengths of seedlings in a box sprayed with a new kind of fertilizer has an average height of 26cm. after three days and a standard deviation of 10cm. one researcher randomly selected 80 such seedlings and calculated the mean height to be 20 cm. and the standard deviation was 10cm. will you conduct a one tailed test or two- tailed test? proceed with the test with 95% confidence level
There were total 1020 members in BMCC Math Club. 50% of them are female. 45 out of 1020 are from Prof. X’s class. 20% of 45 students are international students. In order to join in the Math Club, students must take one exam. You can take the exam as many times as you want. Members meet every Wednesday in Room N736.
a. 50% is a. Parameter or Statistic
b. 20% is a. Parameter or Statistic
c. 1020 is. Quantitative or Categorical
d. 736 is. Quantitative or Categorical
e. The number of times Continuous or Discrete
A group of students got a grade in their Math subjects; 78, 80, 81, 89, 93, 95. Consider samples of size 3 that can be drawn from this population.
