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When Mario orders a pizza, there is an 82% chance that he will eat the entire pizza. If Mario orders a pizza for the next 7 days, find the probability that the number of pizzas that Mario eats entirely is: Write your work on the work pages (include the calculator commands). Round to 4 decimal places. a. At least three   [BLANK-1] b. Less than five   [BLANK-2] c. Exactly seven   [BLANK-3] d. Find the mean of the distribution.   [BLANK-4]

A commercial states that the average cost of groceries for a family of two at HEB and Kroger are the same. Prices for groceries from HEB and Kroger are randomly collected. The data is shown below.   HEB Kroger    195 162    189 152    221 180    194 182    207 213    111 184    Does the data show there is a difference in the average grocery cost for a family of two at HEB and Kroger? Test the claim at the 0.05 significance level. (Assume the population is normal and there are no outliers) Write your work on the work pages (include the calculator commands). Round to 4 decimal places. Type your best answers, your work pages will be checked for precise symbols/values. a. The null hypothesis (H0) is [BLANK-1]. The alternative hypothesis (Ha) is [BLANK-2] b. Determine the test statistic.   [BLANK-3] c. Find the p-value.   [BLANK-4] d. What is the decision regarding H0? [BLANK-5] e. State your conclusion.

A health insurance company sells a policy for $162. Based on past data, 9.2% of policyholders will file for coverage of $4800 claim for the insurance company to pay. What is the company’s expected value of each policy sold? Write your work on the work pages. The expected value is [BLANK-1]

Starbucks states that the mean consumption of iced tea by a Texan in the summer is 23.2 gallons. An employee of Dutch Bros Coffee believes that the mean consumption is more and conducts a study of a random sample of 90 people in Texas. The sample mean iced tea consumption is 21.6 gallons and the sample standard deviation is 4.8 gallons. Is there sufficient evidence to support the claim at a 1% significance level?     Assume n ≤ 5 %  of all Texans consuming iced tea. Write your work on the work pages (include the calculator commands). Round to 4 decimal places. Type your best answers, your work pages will be checked for precise symbols/values. a. Is n ≥ 30 ?  [BLANK-1] b. The null hypothesis (H0) is [BLANK-2]. The alternative hypothesis (Ha) is [BLANK-3] c. Determine the test statistic.   [BLANK-4] d. Find the p-value.   [BLANK-5] e. What is the decision regarding H0?   [BLANK-6] f. State your conclusion.

Is an Instagram post still a post if it has no account connected to it, no users who can see it, no infrastructure serving it, and no recommendation system processing it?  

Why can the statement “Heidegger knows Russell” not be adequately described using subject-predicate logic?

Given Hui’s framework, a student prints out their Instagram feed and pins the printouts to their wall. Have they preserved their Instagram posts?  

In engineering or physics, we often approximate an infinite series by first calculating a finite partial sum. What does the partial sum represent, what does the remainder represent, and why do you think it is impossible to use this method if the series diverges?  

Evaluate the sum of the following infinite geometric series or state that it diverges. Show all work and justify why the series converges. What is r? Does it converge or diverge? Why? What is the sum?

Find the nth partial sum  for the series below. Then evaluate to find the sum of the series, or state that it diverges.  Enter your answer like Sn=1/3-1/n-5; S=1/3