statistics assignment help

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i need help in question one and question with complete steps thank you

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Question 1 a) A student takes a 30 question, true false exam and guesses on each question. Find the probability of passing if the lowest passing grade is 15 correct out of 30. Would you consider this event likely to occur? Explain your answer. (7 marks) b) A copy machine randomly puts out 20 blank sheets per 500 copies processed. Find the probability that in a run of 300 copies, 6 sheets of paper will be blank, (3 marks) Cholz Question 2 A study of 35 golfers showed that their average score on a particular course was 92. The standard deviation of the population is 5. a) Find the best point estimate of the mean. + 3=92) 3292, b) Find the 95% confidence interval of the mean score for all golfers. c) Find the 95% confidence interval of the mean score if a sample of 60 golfers is used instead of a sample of 35. d) Which interval is smaller? Explain why. (15 marks) Question 3 7 Chapter ? 7 (sample sice, If the variance of a national accounting examination is 900, how large a sample is needed to estimate the true mean score within 5 points with 99% confidence? (5 marks) 6 Coormal Dishubalon . chogy Question 4 The mean undergraduate cost for tuition, fees, room, and board for four-year institutions was $26,489 for the 2004–2005 academic years. Suppose that o = $3204 and that 36 four year institutions are randomly selected. Find the probability that the sample mean cost fo these 36 schools is a) Less than $25,000 b) Greater than $26,000 c) Between $24,000 and $26,000 Source: www.nces.ed.gov (10 mark:
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