Match n = 4, n= 8, n= 12 with the correct graph. Each histogram shown below represents part of a binomial distribution. Each distribution has the same probability of success p but different numbers of trials n. AP(x) 0.40- AP(x) 0.40 0.30- 0.20- 0.10- 0.00 0 (a) 0.30- 0.20- 0.10 0.00 . 0 369 12 0 369 12 (b) AP(x) 0.404 0.30 0.20 0.10 0.00- Histogram (a) has the number of trials n= Histogram (b) has the number of trials n= Histogram (c) has the number of trials n= What happens as the value of n increases and the probability of success remains the same? O A. As n increases, the distribution becomes more skewed right. O B. As n increases, the distribution becomes more skewed left. O C. As n increases, the distribution becomes more symmetric.

SeeClear Windows makes windows for use in homes and commercial buildings. The standards for glass thickness call for the glass to average 0.375 inches with a standard deviation equal to 0.050 inch. Suppose a random sample of n = 50 windows yields a sample mean of 0.392 inches. What is the probability if the windows meet the standards? Group of answer choices   A. 0.0082 B. 0.0015 C. 0.0612 D. 0.0009

Forty families gathered for a fund-raising event. Suppose the individual contribution for each family is normally distributed with a mean and a standard deviation of $125 and $32, respectively. The organizers would call this event a success if the total contributions exceed $5,400. What is the probability that this fund-raising event is a success? (You may find it useful to reference the z table. Round final answer to 4 decimal places.) Probability

Find the probability for a normal distribution p(-0.80

Full data set D A researcher wanted to determine if carpeted or uncarpeted rooms contain more bacteria. The table shows the results for the number of bacteria per cubic foot for both types of rooms. A normal probability plot and boxplot indicate that the data are approximately normally distributed with no outliers. Do carpeted rooms have more bacteria than uncarpeted rooms at the a = 0.05 level of significance? Carpeted 11.4 10.2 Uncarpeted 10.9 10.9 5.9 10 13 6.9 10.9 8 5.2 6.6 6.4 7.7 7.1 1.2 Click the icon to view the Student t-distribution table. What are the null and alternative hypotheses? Ho: versus H1: Calculate the test statistic, to. to = (Round to two decimal places as needed.) %D Now find the critical value. Select the correct choice below and fill in the answer box within your choice. (Round to three decimal places as needed.) O A. ta = B. ta/2= Do carpeted rooms have more bacteria than uncarpeted rooms at the a = 0.05 level of significance? O A. No, because the test…

Q6

Find the mean and variance of the following discrete random variable distribution.?    ?(?)0    0.35 1     0.45 2     0.16 3     0.04

32​% of working mothers do not have enough money to cover their health insurance deductibles. You randomly select six working mothers and ask them whether they have enough money to cover their health insurance deductibles. The random variable represents the number of working mothers who do not have enough money to cover their health insurance deductibles. Complete parts​ (a)  ​ (a) Construct a binomial distribution using n=6 and p=0.32.   x ​P(x) 0   1   2   3   4   5   6   ​(Round to the nearest thousandth as​ needed.)