A box contain 5 colored balls, 2 black and 3 white. Balls are drawn successively without replacement. If the random variable X is the number of draws until the last black ball is obtained, then P(X > 3) =

A box contains 5 Balls labeled with the number "1", 3 balls labeled with the number "2", and 1 ball labeled with the number "3". Two balls are selected, without replacement. Let X be the total of the values on the two balls. Find the mean of X.

A survey was conducted on how many texts (in average) students receive during an in-person class time. A survey data in a class in a particular day is given in the table. Number students Number of texts 1 20 2 14 12 4 5 If the average number texts that students received during this class time is 3, then determine the number of students (the value of x) that received 5 texts during the class time on that particular day.

A machine has 11 identical components which function independently. The probability that a component will fail is 0.2. The machine will stop working if more than three components fail. Find the probability that the machine will be working.

A player pays a certain amount of money to randomly roll a 6-sided and a 4-sided die, both balanced. If the sum of the dice is less than 5 or greater than 9, the player receives a prize of $ 90. Otherwise he loses the money paid to play, in dollars and cents, to keep this game fair. Write only the number corresponding to the prize without a dollar sign and rounded to 2 decimal places.

A bag contains 5 red balls and some blue balls. If the probability of drawing a blue ball is double that of a red ball, then the probability of selecting a blue ball in is

The following table was generated from the sample data of 1010 junior high students regarding the average number of hours they are unsupervised per night, the average number of hours they play video games per night, and their final grades in their math class. The dependent variable is the final grade, the first independent variable (x1x1) is the number of hours unsupervised each night, and the second independent variable (x2x2) is the number of hours of video games each night.   Coefficients Standard Error t-Stat p-value Intercept 64.49590764.495907 5.9533305.953330 10.83358510.833585 0.0000370.000037 Hours Unsupervised −0.974079−0.974079 1.1097971.109797 −0.877709−0.877709 0.4138620.413862 Hours Playing Video Games 4.9768084.976808 1.0636721.063672 4.6788924.678892 0.0034000.003400 Step 1 of 2: Write the multiple regression equation for the computer output given. Round your answers to three decimal places. Step 2 of 2: Indicate if any of the independent variables…

The following table was generated from the sample data of 1010 junior high students regarding the average number of hours they are unsupervised per night, the average number of hours they play video games per night, and their final grades in their math class. The dependent variable is the final grade, the first independent variable (x1x1) is the number of hours unsupervised each night, and the second independent variable (x2x2) is the number of hours of video games each night.   Coefficients Standard Error t-Stat p-value Intercept 57.968435 7.227955 8.020032 0.000201 Hours Unsupervised 5.131630 1.314283 3.904510 0.007943 Hours Playing Video Games 1.067855 1.615039 0.661194 0.533040     Indicate if any of the independent variables could be eliminated at the

The following table was generated from the sample data of 1010 junior high students regarding the average number of hours they are unsupervised per night, the average number of hours they play video games per night, and their final grades in their math class. The dependent variable is the final grade, the first independent variable (x1x1) is the number of hours unsupervised each night, and the second independent variable (x2x2) is the number of hours of video games each night.   Coefficients Standard Error t-Stat p-value Intercept 57.968435 7.227955 8.020032 0.000201 Hours Unsupervised 5.131630 1.314283 3.904510 0.007943 Hours Playing Video Games 1.067855 1.615039 0.661194 0.533040   Write the multiple regression equation for the computer output given. Round your answers to three decimal places.

The following table was generated from the sample data of 1010 junior high students regarding the average number of hours they are unsupervised per night, the average number of hours they play video games per night, and their final grades in their math class. The dependent variable is the final grade, the first independent variable (x1x1) is the number of hours unsupervised each night, and the second independent variable (x2x2) is the number of hours of video games each night. Intercept 64.821745 4.918050 13.180375 0.000012 Hours Unsupervised -1.691108 1.396989 -1.210538 0.271590 Hours Playing Video Games 6.796882 1.515248 4.485657 0.004167   Step 1 of 2: Write the multiple regression equation for the computer output given. Round your answers to three decimal places.   Step 2 of 2: Indicate if any of the independent variables could be eliminated at the 0.050.05 level of significance.