Statistics and Probability Answers

The following contingency table presents the analysis of 300 persons according to
hair colour and eye colour:
Hair Colour Eye Colour
Blue Grey Brown
Burgundy 30 10 40
Brown 40 20 40
Black 50 30 40

Test the hypothesis that there is an association between hair colour and eye colour at
5% level of significance

manufacturer wishes to determine the effectiveness of four types of machines
A, B, C and D in the production of bolts. For this, the number of defective bolts
produced by each machine on two alternative days are shown in the following table:
Day I Day II
Machine A 24 30
Machine B 41 44
Machine C 32 31
Machine D 28 38

Perform an analysis of variance method to determine whether there is a difference
between machines, at 5% level of significance.

Assume that the total score (from both teams) for college football games averages μ = 42 points per
game, and that the distribution of total points is approximately normal with σ = 20.

b. What proportion of college football games have a point total between 20 and 60?

You are given a time series with data about sales over 5 years, with one data point per day. You observe that, every 26 weeks, there is a peak in sales that slowly decreases until the next 26 weeks period. You decide to use a moving average to calculate the trend of sales while smoothing the seasonality. What would be the most appropriate period for the moving average? In other words, how many data points should be used to calculate each value of the moving average?

Just the number of the data points is needed, thank you!! :)

Can you please answer my question?
Paula has three keys on a key ring, just one of which opens the door to her
house. As she approaches the door, she selects one key after another, at
random without replacement, trying each key in the door until she finds the
correct key.
(i) Draw up a probability distribution table for X, the number of keys Paula
tries before she opens the door.
(ii) Calculate the expected number of keys that she will try before opening
the door.

In a WAITS, one subtest the raw score has a mean of 55 and variance of 25. What is the probability of obtaining a raw score between the mean and 46? AND between 50 and 58?

In a certain population the probability that a randomly selected subject will have been exposed to a certain allergen and experience a reaction to the allergen is 0.6. The probability is 0.8 that a subject exposed to the allergen will experience an allergic reaction. If a subject is selected at random from this population what is the probability that he/she will have been exposed to the allergen?

1. You’re going to catch a fish in the river. You know that its size is normally distributed with mean 56 inches and standard deviation 7 inches. What is the probability that you catch a fish over 60 inches? What is the probability that you catch a fish less than 50 inche

Assume that the sustained wind speed of a hurricane is normally distributed. If it is known that a hurricane is going to touch down also a category 4 or 5 hurricane , we can say , based on the past data that there is a 16% chance that the hurricane will sustain winds of over 273km/h.

How many standard deviation above the mean is a hurricane that actually does sustain winds of 273 km/h?
What might the mean and standard deviation be for all hurricane classified as 4 or 5

Calculate one of each of the following questions created by 3 different classmates

a. Mean and standard deviation given , looking for the percentage between two x values
b. Mean and standard deviation given , looking for the percentage above a certain x value
c. Mean and standard deviation given , looking for the x value at a certain percentile