Statistics and Probability Answers

a seller claimed that her lip tint has a mean organic content of 90%.A rival seller asked 60 users of that lip tint and found that it has a mean organic content of 85% with a standard deviation of 5%.Test the claim at 1% level of significance and assumes that the population is approximately normally distributed

A small-time bingo card costs P100.00 for 5 games. The prize for the first three games is P5,000.00, the fourth is P10,000.00 and the last prize is P20,000.00. If 1,000 bingo cards are going to be sold and you could only win once, what is the expected value of a ticket?

1. If a sample is used, what type of sampling technique would gain the most valid information? How can the researchers be certain that the sample of workers is representative of the population?

teacher jane randomly selected the grades in statistics and probability of 7 grade 11 students. calculate the mean grade, variance and standard deviation of the given set of data.

A basket contains 2 green, 1 red, 4 blue and 3 yellow marbles. If two marbles will be picked one after the other. Determine the values of random variable R, representing red marbles and random variable G that represents green marble. 

Calculate the first four moments about the mean from the following frequency distribution.

          Also calculate the Moment Ratios b1 and  b2.                                               

Groups

2------4

4-------6

6------8

8-----10

10----12

12----14

14----16

16----18

18----20

Frequency

18

24

47

80

102

66

40

21

15

The average travel time from your residence to your school is 35 minutes with a standard deviation of 10 minutes. If you want to be 99% certain that you will not be late for first 8:00 am class, what is the latest time you should leave home?

Sample (n) 1.14 level of confidence 90% find the level of significance and the t value

Interarrival time of mails are exponentially with a mean 10 minutes what is the probability 5 mails arrive in 20 minutes?

1. A box contains 3 green and 2 red balls. Three balls are chosen one after the other. Determine the values of random variable G representing the number of green balls and compute for the mean and variance. Interpret the result. (Show solution)
2. Find a possible statistical problem inside your home relating to a discrete random variable lesson, explain in a paragraph form. (2-3 sentences) Then, find the possible random variable. Then create a probability distribution. Then compute for the mean, variance, and standard deviation. Then interpret result, and write conclusion. (Show solution)