Statistics and Probability Answers

The average cost per household of owning a brand new car is Php 5,000. Suppose that we randomly selected 40 households, determine the probability that the sample mean for these 40 households is more than Php 5,350. Assume that the variable is normally distributed and the standard deviation is Php 1,230.

WHAT IS THE STANDARD ERROR OF THE MEAN ?

You play a game with two six-sided dice. If you roll a sum of 3 or 8, you win ₱600. If you roll a sum of 10, you win ₱400. However, you lose ₱500 for anything else. If you continue to play the game, how much do you expect to win or lose in the game?

Find the corresponding area between z=0 and each of the following

1.z=0.85

2.z=1.27

3.z=2.86

4.z=1.05

5.z=-2.96

Determine if the following situations use as random or non-random sampling. Also, write 

              the type of random or non-random sampling technique used.

1. Selection of students name 10 written in rolled papers in a box containing

      100 names.__________________

2. The respondents are selected according to class size whereas 30 for freshmen, 20 for 

       Sophomores, 10 for juniors, and 5 for seniors. ____________________

3. The minority groups of senators are to be interviewed._______________________

4. Five hundred “likes” from netizens in facebook is used as a basis for making decisions._______________________

5. Two thousand respondents nationwide are chosen for national election purposes from 

      populations of regions down to barangays.____________________

P ( 0 < z < 2.0 )

The average time for a courier to travel from Tagum to Davao is 120 minutes, and the standard deviation is 15 minutes. If there are 1255 courier, how many takes between 100 to 140 minutes to travel from Tagum to Davao?

A meeting of consuls was attended by 4 Americans and 2 Germans. If three consuls were selected at random one after the other, list down all possible outcomes for the random variable G (number of Germans)

Four balls are drawn in succession without replacement from an urn containing 8 red balls, 5 green balls. Let T be the random variable representing the number of red balls. Find the values of the random variable T. Complete the table.

Suppose three televisions are tested randomly. We want to find out the number of substandard condition. If we let Y be the random variable representing the number of substandard televisions, will you show the values of the random variable Y? Complete the table below to show the values of the random variable.

 A basket contains 6 ripe and 2 unripe bananas. If three bananas are taken from the baskets one after the other, determine the possible values of the random variable R representing the number of ripe bananas.