# Grace Agate

Statistics teacher | Verified Expert

I am a dedicated educator specializing in Statistics, holding a degree from Concordia University, St. Paul. With a passion for demystifying statistical concepts, I bring a wealth of knowledge to guide students through the intricacies of the subject. My goal is to foster a deeper understanding and appreciation for statistics, making it accessible and enjoyable. Let's embark on a journey of learning and discovery together!

## Questions

Suppose that the temperature is normally distributed with expectation 50℃ and variance 4℃.What is the probability that the temperature T will be between 48℃ and 53℃?What is the probability that T≥52℃?

A lottery has a $100 000 first prize, a $25 000 second prize, and five $500 third prizes. A total of 50000 tickets are sold. What is the probability of winning a prize in this lottery?

What is the median of 5, 19, 2, 28, 25?

What is the probability of tossing a penny and landing on heads three times in a row?

Let #X# be a binomial random variable with #p=0.4# and #n=10#. What is # P(X = 5) #?

What is the Z score for 95%?

Why must the R-Squared value of a regression be less than 1?

There are three numbers with arithmetic mean 3 and two numbers with sum 26. Find the arithmetic mean of these five numbers. ?

How do you find the probability of picking a diamond from a standard deck of cards which has 13 cards in each of four suits: spades, hearts, diamonds, and clubs, in a simplified fraction?

A bank requires that its customers create a PIN to access their account. The PIN must be 2 letters followed by 2 numbers. How many unique PINs are there? A 520 C 67,600 B 10,000 D 456,976

30% of the 20 people in the Math Club have blonde hair. If 3 people are selected at random from the club, what is the probability that none have blonde hair?

Is the temperature of a cup of coffee sitting on the counter related to the number of minutes since it was poured into the coffee cup a discrete or continuous graph?

Probability of the impossible events equals =...........?????

The average of three numbers is #5#. If the sum of two of the numbers is #6#, what is the third number?

- What are the mean and standard deviation of the probability density function given by #(p(x))/k=x^3-4x# for # x in [0,2]#, in terms of k, with k being a constant such that the cumulative density across the range of x is equal to 1?
- How do you derive a cumulative density function from a probability density function?
- If you were to add 5 to each value in a data set, what effect would this have on the standard deviation of the data set?
- How do you make a boxplot from the data 37, 42, 44, 46, 47, 49, 51, 53, 54, 55, 57, 61, 63?
- When should an F-test be used?
- A fair die is rolled n=113 times, each time observing the number of dots appearing on the topside of the die. The number of dots showing on the topside of toss i is a random variable represented by Xi. What is the mean and standard deviation of Xi?