On Mary’s FACEBOOK page, there is a 42% chance that one of her friends will write on her wall. If she has 2400 “hits” on her page, can the probability that less than 1071 people write on her wall be modelled with a normal approximation? Explain/justify your answer.
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On Mary’s FACEBOOK page, there is a 42% chance that one of her friends will write on her wall. If she has 2400 “hits” on her page, can the
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- In 2001, the Gallup poll found that 81% of American adults believed that therewas a conspiracy in the death of President Kennedy. In 2013, the Gallup pollasked 1,039 American adults if they believe there was a conspiracy in theassassination, and found that 634 believe there was a conspiracy ("Gallup newsservice," 2013). Do the data show that the proportion of Americans who believein this conspiracy has decreased? Test at the 1% level.Pedro has just entered university and has been informed that there is a 30% chance of receiving a scholarship. In the case of obtaining it, the probability of obtaining a degree is 0.85, while in the case of not obtaining it, the probability of obtaining a degree is only 0.45. Tell Peter what the probability is that he will graduate.The gunner on the assault boat SS Minnie Chang fires six missiles at an attacking plane. Each has a 20% chance of being on target. If two or more shells find their mark, the plane will crash. At the same time, the pilot of the plane fires 10 surface-to-air rockets, each of which has a 0.05 chance of sinking the boat. If you want to live, would you rather be on the plane or on the boat?
- A common lab test during a medical exam is a blood count. The two main aspects are counting the number of white blood cells and differentiating white blood cells into several categories. One of the categories is neutrophils. Suppose 60% of white blood cells are neutrophils in a healthy person. What is the probability of seeing 2 neutrophils in a sample of three white blood cells from a healthy person? What is the probability of seeing 2 or fewer?The drug manufacturer claim that taking gemfibrozil is beneficial to reduce the chance of heart attacks. 2051 men took the medication, and a control group of 2030 men took a placebo. During the next five years, 56 men in the drug group and 84 men in the placebo group had heart attacks. We would like to compare the proportion of men who develop heart attacks between the drug group and the placebo group. What are the correct x1 and x2 values in order to calculate the pooled sample proportion? a) x1=2051, x2=2030 b) x1=2051, x2=84 c) x1=56, x2=2030 O d) x1=56, x2=84In a three subject class setting, there is a 60% chance that the students willpass only two subjects, and 20% of the students will pass only one subject.Determine the probability of the students passing all three subjects.
- You are analysing a factory. Stage 3 of the manufacturing process has a 45% chance of finishing on time. If it does finish on time, the chance of Stage 4 finishing late is 20%. The overall chance of Stage 4 finishing on time is 71.2%. What is the chance that Stage 4 finishes late if Stage 3 finished late? Round your answer to 2 decimal places.If the probability of rain tomorrow is 65%, what is the probability that it will not rain tomorrow?A project has a 60% of super success earning $50,000, a 15% chance of mediocre success earning $20,000, and a 25% probability of failure losing $30,000. What is the EMV of the project?
- The professor has taught basic statistics for several years. He knows that 80% of the students will finish the assigned problems. Also that among those who do their homework, 90% will pass the course. Among those who do not do their homework, 60% will pass the course. A student He took statistics last semester with the professor and passed. Which is the probability that you have completed your tasks?Please show your solution. A petroleum company exploring for oil has decided to drill 2 wells, one after the other. The probability of not striking oil in the first well is 0.25. Given that they strike oil in the first attempt, the probability of striking oil in the second attempt is 0. 85. What is the probabilty of striking oil in both wells?In world cup soccer the probability that a soccer team makes a penalty kick goal is about 72.5%. If a team attempts five consecutive penalty kicks, what is the probability that they will make at least one of the five attempts
