Probability and Statistics
In a survey of 150 individuals, there are 75 responses of 'yes', 55 responses of 'no', and 20 responses of 'no opinion'. Calculate the point estimate of the proportion in the population that responded 'yes'.
In a survey of 150 individuals, there are 75 responses of 'yes', 55 responses of 'no', and 20 responses of 'no opinion'. Calculate the point estimate of the proportion in the population that responded 'no'.
Using the MENT scores, test if there is a significant difference between veterans seeking compensation and those seeking treatment for post-traumatic stress disorder using pooled variance t-test and confidence intervals.
Test whether there is a significant difference in behavioral shame scores between violent and non-violent young offenders using a pooled-variance t-test.
Conduct an ANOVA test to determine if there are any statistically significant differences among three or more groups. If the ANOVA is significant, follow up with a post hoc test to identify where the differences lie.
After performing an ANOVA, determine which specific group means differ using post-hoc tests such as Tukey's Honestly Significant Difference test or the Bonferroni correction.
Calculate the probability of getting two heads in a row when tossing a coin two times.
Calculate the probability of getting ten heads in a row when tossing a coin ten times.
Calculate the probability of getting a head on the first, a head on the second, and a tail on the third toss of a coin.
Calculate the probability of not getting four heads when tossing a coin four times.
Calculate the probability of getting two ones in two rolls of a die.
Calculate the probability of getting a 1 or 2 on the first roll of a die and a 6 on the second roll.
A bag contains 5 red, 2 blue, and 3 green balls. If you take one out, look at it, put it back, and then take another one out, what is the probability of getting one red and one green ball in any order?
A jar contains 3 red, 5 yellow, and 8 orange jelly beans. If you take one out and eat it, what is the probability of getting one yellow and one orange jelly bean in any order?
Find the probability that Z is less than -1.32 using a standard normal distribution table.
Find the probability that Z is greater than -1.32.
Find the probability that Z is between -0.21 and 0.85.
Scores on an exam are normally distributed with a mean (mu) of 70 and a standard deviation (sigma) of 7. We want to find the probability of obtaining scores in the intervals listed in a) to d) below. In a), we want the probability that a score X is less than 84. ... In part c) we want the probability that X is between 60 and 74.
What is the probability of rolling an eight with the sum of two dice?
What is the probability that the card matches the sum of the dice in a game where you roll two dice and pick a card at random? An ace equals 1, a jack equals 11, a queen equals 12, and a king equals 13.