Statistics and Probability Answers

The probabilities that a traffic inspector will discover violations of the Traffic Code in Davao City are given in the following table.

Number of Violations (X)

Probability P(X)

0.41

1

2

3

0.22

0.17

4

5

0.13

0.05

0.02

a. Solve for the mean and variance. b. Interpret the mean and the variance of the problem.

If the mean and the standard deviation of a continuous random variable that is normally distributed are 19 and 5 respectively, what is the interval that contains 95% of the distribution? *

The ages of participants in a drama workshop are normally distributed with mean 18.5 years and standard deviation 2.5 years. What is the probability that the age of a random participant is (a) more than 20 years, (b) between 16 and 18 years?

What is the probability that a market inspector will discover, at most five, but greater than two violations of the public health code? (Round off your answer in the nearest hundredths if possible)

What is the probability that a market inspector will discover, at most five, but greater than two violations of the public health code? (Round off your answer in the nearest hundredths if possible) *

A basket contains 10 ripe and 4 unripe bananas. If three bananas are taken from the basket one after the other, determine the possible values of the random variable R representing the number of ripe bananas.

What is the probability that a market inspector will discover, at most five, but greater than two violations of the public health code?

Consider the experiment of rolling a pair of dice. Let X be the random variable representing the absolute value of the difference of the numbers that come up

A) Construct the probability mass function (Tabular, Formula and Graphical Form).

Given he population of numbers 3,6,8,9 and 4. Suppose samples of size 3 are drawn from this population .

1. What is the mean and the variance of the population?

A basket contains 10 ripe and 4 unripe bananas. If three bananas are taken from the basket one after the other, determine the possible values of the random variable R representing the number of ripe bananas.

Select one:

a. X = {0, 1}

b. X = {0, 1, 2, 4}

c. X = {0, 1, 2}

d. X = {0, 1, 2, 3}