# 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

When do you add probabilities?

Two balls are drawn from a bag containing 5 white and 7 black balls at random. What is the probability that they would be of different colours?

Two dice are thrown. Event #A# is "the sum of two dice is #7#" and Event #B# is "at least one die is #6#". Are #A# and #B# independent?

The probability that a seed will germinate is 0.34. Suppose 130 seeds are planted. How do you use the central limit theorem to determine the probability that at most 37 seeds germinate?

A card is drawn from a deck, what is the probability that it will be a diamond?

What are the mean and standard deviation of the probability density function given by #(p(x))/k=ln(x^3+1)# for # x in [0,1]#, in terms of k, with k being a constant such that the cumulative density across the range of x is equal to 1?

Use the empirical rule to determine the approximate probability that a z value is between -2 and 0 on the standard normal curve.

The weight of football players is normally distributed with a mean of 200 pounds and a standard deviation of 25 pounds. The probability of a player weighing more than 241.25 pounds is?

What is a 90% confidence interval for the population mean birth weight based on the data?

Given a set # {11, x ,-44, 1} #, for what x would the mean be 4?

How do you know when a linear regression model is appropriate?

A jar contains 100 marbles. There are 49 blue marbles, 7 green marbles, 27 red marbles, and 17 yellow marbles. What is the probability of randomly selecting a red marble?

Joint probability- mean and variance? Pl refer image attached

What type(s) of distributions can a z-test be applied to?

Jonathan's math test scores were 87, 93, 85, 62, and 95. What was his mean score?

What is the minimum, maximum, and range of the data 30, 24, 8, 21, 35, 23, 23, 19, 13, 17?

How many ways can 4 students be arranged in a row?

15 students in a school are distributed evenly among 3 classes. Given there are 3 students with red hair in the 15 and distribution is random, how many number of ways that all the students with red hair end up in the same class?

In a fish tank, there are 24 goldfish, 2 angel fish, and 5 guppies. If a fish is selected at random, what is the probability that it is a goldfish or an angel fish?

Three people go to the market in the morning with the following probabilities: 1/2, 2/3, and 3/4. What is the likelihood that two go to the market on a given morning?