In a game, you have a probability of winning $85 and a probability of losing $4.  What is your expected value?  Round your answer to two decimal places.

Find the following probability:  A test consists of 10 true/false questions. To pass the test a student must answer at least 6 questions correctly. If a student guesses on each question, what is the probability that the student will pass the test?  Round your answer to 3 decimal places.  

Use the given data to find the equation of the regression line. Round the final values to three decimal places, if necessary. x 2 4 5 6 y 7 11 13 20 The equation is y = + x

At the 0.025 significance level, test the claim that the four brands have the same mean if the following sample results have been obtained. Brand A Brand B Brand C Brand D 17 18 21 22 20 18 24 25 21 23 25 27 22 25 26 29 21 26 29 35 29 36 37 What is the p-value? round to 4 decimal places Do the means appear to be the same? yes or no

Determine whether the samples are independent (not matched or paried) or dependent (the samples are matched or paired): The effectiveness of a new headache medicine is tested by measuring the amount of time before the headache is cured for patients who use the medicine and another group of patients who use a placebo drug. 

A supplier of digital memory cards claims that less than 1% of the cards are defective. In a random sample of 600 memory cards, a customer found that 3% are defective.  The customer claims this evidence the defective rate is greater than 1%.  At the 0.01 level of significance, test the customer’s claim that more than 1% are defective. What is the test statistic?  Round to 2 decimal places.  z= What is the critical value?  Round to 2 decimal places.  z= What is the p-value?  Round to 4 decimal places. What is your conclusion about the customer’s claim?  Type r for reject the customer’s claim Type s for support the customer’s claim Type f for fail to reject the customer’s claim Type n for not enough evidence to support the supplier’s claim

A researcher wishes to test the effectiveness of a flu vaccination. 150 people are vaccinated, 180 people are vaccinated with a placebo, and 100 people are not vaccinated. The number in each group who later caught the flu was recorded. The results are shown below. Vaccinated Placebo Control Caught the flu 8 19 21 Did not catch the flu 142 161 70 Use a 0.05 significance level to test the claim that getting the flu is independent of vaccination treatment. What is the p-value?   Round to 4 decimal places Does the data support that getting the flu is dependent or independent of treatment?   Type dependent or independent.  

Determine the minimum sample size required to construct the following confidence interval: Margin of error: 0.012; confidence level: 93%;  p-hat and q-hat are unknown.  In your calculation round the critical value to 3 decimal places.

Find the mean of the probability distribution.  Round your anwer to 2 decimal places. x P(x) 0 0.26 1 0.11 2 0.16 3 0.05 4 0.42  

Which of the following Pandas statements prints the institutions that contain the string “Univ” in their name?