The ticket booth on the Tech Campus is operated by a single person who sells tickets for the annual Tech vs State football game on Saturday. A ticket seller can serve an average of 15 customers per minute; On average, 12 customers arrive to buy tickets every minute (Poisson distributed). Find L,Lq,W, and W q

Q1 1. The following spinner was spun 38 times. What is the probability of spinning A 16 times? Insert Image

The average fruit fly will lay 375 eggs into rotting fruit. A biologist wants to see if the average will be greater for flies that have a certain gene modified. The data below shows the number of eggs that were laid into rotting fruit by several fruit flies that had this gene modified. Assume that the distribution of the population is normal. 379, 406, 378, 394, 369, 369, 402, 383, 367, 357, 401, 407, 357, 394, 367 What can be concluded at the the a = 0.05 level of significance level of significance? a. For this study, we should use t-test for a population mean b. The null and alternative hypotheses would be: Ho: H1: C. The test statistic (please show your answer to 3 decimal places.) d. The p-value (Please show your answer %D to 4 decimal places.)

The height of male students in the school is assumed to be normally distributed. 18% of the students haveheight more than 180 cm and 9% of them have height less than 160 cm. Find µ and σ.

Suppose a researcher collects data on the air pollution levels, measured in milligrams per cubic meter, for both urban and rural areas in 35 states. The data is plotted with urban air pollution levels on the horizontal axis and rural air pollution levels on the vertical axis. Nevada is an outlier in the ?x‑direction. What must be true about this state? The urban air pollution levels for this state are much higher or lower than the rest of the states in the data set. The rural air pollution levels for this state are much higher or much lower than the rest of the states in the data set. This state is an influential observation. The rural air pollution levels for this state are much higher or lower than other states in the data set that have similar urban air pollution levels. The absolute value of the residual of this state is large.

A city with 9800 registered voters has 5 candidates running for the city Mayor. Last week, 350 voters were randomly chosen and asked if they would vote for Peter Griffin (one of the candidates), and 22 % responded they would. On the election day, 35 % of the registered voters actually voted for Peter Griffin.Identify the parameter. 35 % 350 9800 5 22 % Unknown

Aleem tossed a coin 50 times and recorded the results in a frequency distribution table. Outcome Frequency Heads 22 Tails 28 What is the experimental probability of tossing a head?

Given data points (1, 3), (0, -1). (2. 1). (4. 1). (-2. 1), center the data and compute the sample covariance matrix. Record the entries of the covariance matrix row by row, separated by commas.