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You have two biased coins. Coin A comes up heads with probability ¼. Coin Bcomes up heads with probability ¾. However, you are not sure which is which so youflip each coin once, choosing the first coin randomly. Let i H and i T denote the resultof flip i. Let i A denote the event that coin A was flipped first, and likewise for coin B.What is [ ] 1 2 P H H ? Are 1 H and 2 H independent? Explain your answer. [Hint: use theidentity: P[A] = P[A|B] P[B] + P[A|~B] P[~B] where ~B denotes the event ‘not B'.]
a. Is there a statistically significant relationship between these variables?
The relationship between students' weights and earnings was explored. Because gender would play a role in both variables' values, regression
The management of a department store is interested in estimating the difference between the mean credit purchases of customers using the store's credit card versus those customers using a national major credit card.
Chronic tension headaches. Doctors identify "chronic tension-type headaches" as headaches that occur almost daily for at least six months.
However because of the high cost of fuel, the owner has recently converted his taxis to operate on a more efficient type of gassoline. He measures and recorded and recorded the millage into (mile/gallons) for 15 taxis
The National Survey of Student Engagement (NSSE) asked students at participating institutions how often they discussed ideas or readings with their professors.
Your Detroit division produced 135 defective parts out of the total production of 983 last week. The Kansas City division produced 104 defectives.
First explore the data using suitable statistics and graphs. Use the results to make informal comparisons. Determine whether there are significant differences between the ages of the Best Actresses and the ages of the Best Actors
Does the data prove a significant difference in mean times?
A manufacturer of car batteries claims that the life of their batteries is normally distributed with mean μ = 58 months and standard deviation σ = 3. Determine the probability that a randomly selected battery will last at least 62 months.
Compute the 95% margins of error for the difference in the two proportions for n = 40, 50, 80, 100, 400, 500, and 1000
Write Cumulative distribution function.Find the cumulative distribution function F(x).
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