# Nora Amin

Statistics teacher | Verified Expert

With a Statistics major from Wesleyan University, my passion lies in demystifying numbers and making complex concepts accessible. I thrive on helping students unravel the intricacies of mathematics and its applications across disciplines. Whether it's probability, data analysis, or inferential statistics, I'm here to guide learners through their academic journey. My approach fosters confidence and understanding, empowering students to excel in their studies. Let's embark on this educational adventure together, where no question is too daunting to tackle.

## Questions

If you roll a pair of dice, what is the probability of rolling either a single 5 or a sum that is an even number?

How many 4-digit numbers can be made that are divisible by 4 if we have the digits 2, 4, 5, 6, 7 and for each number we can only use each digit once?

Products from a certain machine are too large 15% of the time. What is the probability that in a run of 20 parts, 5 are too large?

How does American obesity compare to obesity worldwide?

The commuting time for all employees of a company has a normal distribution with a mean of 44.6 minutes and a standard deviation of 11.2 minutes. What is the probability that the mean computing time by a sample of 12 employees is between 43.26 and 49.35?

A bag contains 10 coloured counters. 2 are picked at random. Probability of them both being red is 2/15. Use algebra to work out how many of the 10 counters in the are red?

I have tried to solve number a and b, but I am confused to solve number c. Would you be so kind to help me please? It's about mathematical statistics. I am studying for my midterm. Thank you very much for your help before.

A student received grades of 99, 81, 86, and 81 on math quizzes. How do you find the student's average?

Suppose you are playing a game in which two fair dice are to rolled. To make the first move, you need to roll doubles or a sum of 3 or 11. What is the probability that you will be able make the first move?

A set of cards has 5 red cards and 5 black cards. If 3 cards are selected at random, what is the probability to select at least 1 black card?

What are the mode, median, and mean of {15, 27, 29, 13, 18, 19, 15, 19, 19, 27, 15, 22, 13, 26, 20}?

A dice has 6 faces. 2 faces are colored in blue, 3 faces are colored in red and 1 is green. The dice is rolled 4 times. What is the probability of the dice to show: a) blue, red, red, green (in this order); b) The same colors but in any order?

A box contains 5 red, 2 white, & 3 blue marbles. If a marble is selected at random, what is the probability that it is not red?

You have studied the number of people waiting in line at your bank on Friday afternoon at 3 pm for many years, and have created a probability distribution for 0, 1, 2, 3, or 4 people in line. The probabilities are 0.1, 0.3, 0.4, 0.1, and 0.1, respectively. What is the probability that at most 3 people are in line at 3 pm on Friday afternoon?

How do you find the range and interquartile range for 37, 19, 13, 11, 10?

If you roll five dice, what are the odds of rolling five 5's?

How do you find the mean of data set 10, 0, 2, and 8?

In how many different ways can you arrange the letters of the word COMPUTER taking 4 at a time?

How many 8-character passwords can be created from 26 lowercase letters and 10 digits, assuming that in every password there must be as many letters and numbers as?

20 people shake hands with each other. How many handshakes will be there in total?