Blog

Consider the table below that shows how many students from each year are in each of the Hogwart’s houses. Use this information to answer the probability question that follows.  Hint: I would recommend finding the totals for each row and column first.  Probability Table Year 1 Year 2 Year 3 Year 4 Year 5 Year 6 Year 7 Ravenclaw 30 38 34 33 39 31 35 Hufflepuff 36 33 29 37 39 35 34 Gryffindor 32 36 41 32 33 35 35 Slytherin 34 32 36 39 33 32 31   Find the probability that a randomly selected student is in Slytherin given that they are in year 1.   Make sure to type in your answer as a decimal rounded to 3 decimal places. For example, if you thought the answer was , then you would type in 0.431.

In 2019, a study was carried out to determine whether a higher proportion of males in the US watch NFL games on television as opposed to females. For this study, the researchers surveyed 200 males and 200 females. 146 out of the 200 males stated that they watched NFL games on television while 110 out of the 200 females stated that they watched NFL games on television. Carry out a difference of proportions test at the

Have you ever utilized the free tutoring that is available through the Taft College math lab?

A professor was interested in comparing how well her students performed on their midterm and final exams in her calculus course. She randomly sampled 7 students from her class and recorded their midterm and final exam grades which are shown in the table below.  Midterm and Final Exam Grade Comparisons Student X=Midterm Exam Y=Final Exam Student 1 75 76 Student 2 73 67 Student 3 87 93 Student 4 90 92 Student 5 72 66 Student 6 84 68 Student 7 91 88   Use this information to calculate the y-intercept of the least squares regression line.  Make sure to type your answer as a decimal rounded to 3 decimal places. For example, if you thought the answer was 98.76543 then you would type in 98.765.

In 2019, a study was carried out to determine whether a higher proportion of males in the US watch NFL games on television as opposed to females. For this study, the researchers surveyed 200 males and 200 females. 144 out of the 200 males stated that they watched NFL games on television while 119 out of the 200 females stated that they watched NFL games on television. Carry out a difference of proportions test at the

Suppose you have a jar that contains 20 marbles: 5 red, 7 blue, 4 green, and 4 black. If you were to select 1 marble at random from the jar, what is the probability that you would pull 1 blue marble?   Type in your answer as a decimal rounded to 2 places. For example, if you thought the answer was 54.321% then you would type in 0.54. 

Suppose the events A & B are independent and you are told that 

Suppose you roll a standard 6-sided die one time. What is the probability that you would roll a number greater than 2? Recall that the sample space for this scenario would be .   Make sure to type in your answer as a decimal rounded to 2 decimal places. For example, if you thought the answer was 0.12345 then you would type in 0.12. 

Suppose the events A & B are independent and you are told that

Consider the table below that shows how many students from each year are in each of the Hogwart’s houses. Use this information to answer the probability question that follows.  Hint: I would recommend finding the totals for each row and column first.  Probability Table Year 1 Year 2 Year 3 Year 4 Year 5 Year 6 Year 7 Ravenclaw 30 38 34 33 39 31 35 Hufflepuff 36 33 29 37 39 35 34 Gryffindor 32 36 41 32 33 35 35 Slytherin 34 32 36 39 33 32 31   Find the probability that a randomly selected student is in Gryffindor and Slytherin.    Make sure to type in your answer as a decimal rounded to 3 decimal places. For example, if you thought the answer was , then you would type in 0.431.