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Ship collisions in the Houston Ship Channel are rare. Suppose the number of collisions are Poisson distributed, with a mean of 1.2 collisions every four months. What is the probability of having three or less collision over a four-month period? Round you answer to 3 decimal places. For example, if the answer is 0.52443, enter 0.524 below.

According to data, the average monthly household cellular phone bill is $141. Suppose monthly household cell phone bills are normally distributed with a standard deviation of $13. What is the probability that a randomly selected monthly cell phone bill is more than $120? Round your answer to 3 decimal places. For example, if the answer is 0.52443, enter 0.524

Suppose that two dice are tossed. For each die, it is equally likely that 1, 2, 3, 4, 5, or 6 dots will turn up. Let S be the sum of the two dice. What is the probability that S will be more than 7? Round your answer to 3 decimal places.  

Suppose that two dice are tossed. For each die, it is equally likely that 1, 2, 3, 4, 5, or 6 dots will turn up. Let S be the sum of the two dice. What is the probability that S will be 10 or 12? Round your answer to 3 decimal places.  

A study is performed in a large southern town to determine whether the average amount spent on food per four-person family in the town is significantly higher than the national average of $150. A random sample of the weekly grocery bills of two-person families in this town is given in the file below.  Data file: Hypothesis Testing_Data file.xlsx   You want to test the null hypothesis that the mean amount spent is less than or equal to $150 versus a one-tailed alternative. 

Data file: NBA-1.xlsx The file above NBA.xlsx, contains salary data on all National Basketball Association players for year 2018-19. The file below contains a sample random sample of size 5 along with 3 nonrandom sample of size 5.  Random Sample Choices.pdf Match the following answers:

The U.S. national average door-to-doctor wait time for patients to see a doctor is now 21.3 minutes. Suppose such wait times are normally distributed with a standard deviation of 6.7 minutes. Some patients will have to wait much shorter than the mean to see the doctor. Based on this information, 25% of patients will have to wait less than how many minutes to see a doctor? Round your answer to one decimal place.

According to data, the average monthly household cellular phone bill is $141. Suppose monthly household cell phone bills are normally distributed with a standard deviation of $13. What is the probability that a randomly selected monthly cell phone bill is between $120 and $130? Round your answer to 3 decimal places. For example, if the answer is 0.52443, enter 0.524

According to data, the average monthly household cellular phone bill is $141. Suppose monthly household cell phone bills are normally distributed with a standard deviation of $13. What is the probability that a randomly selected monthly cell phone bill is more than $110? Round your answer to 3 decimal places. For example, if the answer is 0.52443, enter 0.524

You play a game where the amount you win (or lose, if negative) can be $1,000, $100, $0, or -$2,000. Let X be the amount you win (or lose), and assume the distribution of X is the following: P(X = 1,000) = 0.1, P(X = 100) = 0.5, P(X = 0) = 0.2, and P(X = -2,000) = 0.2. X P(X) 1000 0.1 100 0.5 0 0.2 -2000 0.2 Match the answers for the following questions: