Dan purchased a laptop computer at Best Sales Store. He also purchased "Lucky 7" warranty plan that would replace the laptop at no cost if it needs 7 or more repairs in 2 years. Suppose the laptop requires repairs according to a Poisson process with an average rate of one repair per 2 months. Find the probability that the laptop would not need to be replaced. That is, find the probability that the 7th time the laptop needs repair will be after 2 years, when the warranty expires. number (rtol=0.01, atol=1e-08) Notes: You can express your answer as a fraction or decimal. If you answer is in decimal, include at least 4 non-zero digits after the decimal point. Find the probability that the 7th time the laptop needs repair will be during the 2nd year of warranty. number (rtol=0.01, atol=1e-08) Notes: You can express your answer as a fraction or decimal. If you answer is in decimal, include at least 4 non-zero digits after the decimal point. Find the probability that the 7th time the laptop needs repair will be during the last 6 month of the warranty period. number (rtol D0.01, atol=1e-08) Notes: You can express your answer as a fraction or decimal. If you answer is in decimal, include at least 4 non-zero digits after the decimal point.

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Confidence Intervals

When we calculate intervals in probability and statistics, it can be simply termed as finding out a confidence interval. The confidence interval is usually calculated from the data set which is observed. The value of the parameter that needs to be calculated is present here only.