Exactly 14 of them pass quality control?  No more than 2 fail quality control?

In a three-digit lottery, each of the three digits is supposed to have the same probability of occurrence (counting initial blanks as zeros, e.g., 32 is treated as 032). The table shows the frequency of occurrence of each digit for 90 consecutive daily three-digit drawings. Digit 0 1 2 3 4 5 6 7 8 9 Total Frequency 22 27 26 29 30 25 33 29 20 29 270 picture Click here for the Excel Data File (a) Calculate the chi-square test statistic, degrees of freedom, and the p-value. (Perform a uniform goodness-of-fit test. Round your test statistic value to 2 decimal places and the p-value to 4 decimal places.) Test statistic Degrees of freedom p-value (b) Choose the correct answer by drawing a bar chart for the above data. O The graph will reveal that 8 occurs least frequently. O The graph will reveal that 9 occurs least frequently. O The graph will reveal that 6 occurs least frequently. O The graph will reveal that 7 occurs least frequently. (c) At a = .02, we cannot reject the hypothesis that…

Suppose a math class contains 41 students. There are 18 females (three of whom speak Spanish) and 23 males (six of whom speak Spanish). Give all answers as decimals to at least two decimal places.1. What is the probability that a randomly selected student speaks Spanish, given that the student is female?   2. What is the probability that a randomly selected student does not speak Spanish, given that the student is male?   3. What percent of Spanish speaking students are male?   4. If someone does not speak Spanish what is the probability they are female?

3. For each experiment, fill in the blank with the letter for the probability histogram that corresponds to the quantity indicated. Experiment 1: A gambling game has a 30% chance of winning $2 and a 70% chance of losing $1. We play the game 100 times and keep track of the net amount won or lost. Experiment 2: We flip a coin 40 times and keep track of the number of heads. 0.08 90'0 0.12 0.08 0.04 000 0 0 20 10 40 20 60 8 80 30 (a) 100 (c) (e) 40 0.00 0.012 0.008 1000 0000 -100 -50 -100 -50 0 0 50 T 50 (b) 100 150 200 30 (d) (f) 100 150 200